Finite Decision Specifications versus Complete and Sampled Tables
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This question bank has corresponding bilingual step-by-step derivations. Source candidate and English ai_candidate states are retained. AI review, finite computation and Lean formal proof are labelled separately.
batch-20261013-advance-20261018-r06-decision-problem-foundations · 2026-10-13 · 100 questions
This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.
1. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [], [[0, No], [1, No], [2, No], [3, No], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [], [[0, No], [1, No], [2, No], [3, No], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
2. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [0], [[0, Yes], [1, No], [2, No], [3, No], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0], [[0, Yes], [1, No], [2, No], [3, No], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
3. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [1], [[0, No], [1, Yes], [2, No], [3, No], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1], [[0, No], [1, Yes], [2, No], [3, No], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
4. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [0, 1], [[0, Yes], [1, Yes], [2, No], [3, No], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1], [[0, Yes], [1, Yes], [2, No], [3, No], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
5. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [2], [[0, No], [1, No], [2, Yes], [3, No], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2], [[0, No], [1, No], [2, Yes], [3, No], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
6. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [0, 2], [[0, Yes], [1, No], [2, Yes], [3, No], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2], [[0, Yes], [1, No], [2, Yes], [3, No], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
7. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [1, 2], [[0, No], [1, Yes], [2, Yes], [3, No], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2], [[0, No], [1, Yes], [2, Yes], [3, No], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
8. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [0, 1, 2], [[0, Yes], [1, Yes], [2, Yes], [3, No], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 2], [[0, Yes], [1, Yes], [2, Yes], [3, No], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
9. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [3], [[0, No], [1, No], [2, No], [3, Yes], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [3], [[0, No], [1, No], [2, No], [3, Yes], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
10. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [0, 3], [[0, Yes], [1, No], [2, No], [3, Yes], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 3], [[0, Yes], [1, No], [2, No], [3, Yes], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
11. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [1, 3], [[0, No], [1, Yes], [2, No], [3, Yes], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 3], [[0, No], [1, Yes], [2, No], [3, Yes], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
12. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [0, 1, 3], [[0, Yes], [1, Yes], [2, No], [3, Yes], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 3], [[0, Yes], [1, Yes], [2, No], [3, Yes], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
13. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [2, 3], [[0, No], [1, No], [2, Yes], [3, Yes], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2, 3], [[0, No], [1, No], [2, Yes], [3, Yes], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
14. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [0, 2, 3], [[0, Yes], [1, No], [2, Yes], [3, Yes], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2, 3], [[0, Yes], [1, No], [2, Yes], [3, Yes], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
15. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [1, 2, 3], [[0, No], [1, Yes], [2, Yes], [3, Yes], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2, 3], [[0, No], [1, Yes], [2, Yes], [3, Yes], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
16. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [0, 1, 2, 3], [[0, Yes], [1, Yes], [2, Yes], [3, Yes], [4, No], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 2, 3], [[0, Yes], [1, Yes], [2, Yes], [3, Yes], [4, No], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
17. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [4], [[0, No], [1, No], [2, No], [3, No], [4, Yes], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [4], [[0, No], [1, No], [2, No], [3, No], [4, Yes], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
18. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [0, 4], [[0, Yes], [1, No], [2, No], [3, No], [4, Yes], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 4], [[0, Yes], [1, No], [2, No], [3, No], [4, Yes], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
19. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [1, 4], [[0, No], [1, Yes], [2, No], [3, No], [4, Yes], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 4], [[0, No], [1, Yes], [2, No], [3, No], [4, Yes], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
20. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [0, 1, 4], [[0, Yes], [1, Yes], [2, No], [3, No], [4, Yes], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 4], [[0, Yes], [1, Yes], [2, No], [3, No], [4, Yes], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
21. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [2, 4], [[0, No], [1, No], [2, Yes], [3, No], [4, Yes], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2, 4], [[0, No], [1, No], [2, Yes], [3, No], [4, Yes], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
22. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [0, 2, 4], [[0, Yes], [1, No], [2, Yes], [3, No], [4, Yes], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2, 4], [[0, Yes], [1, No], [2, Yes], [3, No], [4, Yes], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
23. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [1, 2, 4], [[0, No], [1, Yes], [2, Yes], [3, No], [4, Yes], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2, 4], [[0, No], [1, Yes], [2, Yes], [3, No], [4, Yes], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
24. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [0, 1, 2, 4], [[0, Yes], [1, Yes], [2, Yes], [3, No], [4, Yes], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 2, 4], [[0, Yes], [1, Yes], [2, Yes], [3, No], [4, Yes], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
25. Finite Decision Specification and Complete Truth Table
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [3, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Give (n, normalized yes-instance set, complete indexed truth table).
View answer and explanation
(6, [3, 4], [[0, No], [1, No], [2, No], [3, Yes], [4, Yes], [5, No]])
Enumerate every legal input against the specification; this is not execution of an arbitrary program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [3, 4], [[0, No], [1, No], [2, No], [3, Yes], [4, Yes], [5, No]]).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-yes-set-table · candidate
26. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, false, false, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [], [No, No, No, No, No, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [], [No, No, No, No, No, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
27. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, false, false, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [0], [Yes, Yes, No, No, No, No], [1], No)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0], [Yes, Yes, No, No, No, No], [1], No).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
28. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, false, false, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [1], [No, Yes, No, No, No, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1], [No, Yes, No, No, No, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
29. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, false, true, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [0, 1], [Yes, Yes, No, Yes, No, No], [3], No)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1], [Yes, Yes, No, Yes, No, No], [3], No).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
30. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, true, false, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [2], [No, No, Yes, No, No, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2], [No, No, Yes, No, No, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
31. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, true, false, false, true]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [0, 2], [Yes, No, Yes, No, No, Yes], [5], No)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2], [Yes, No, Yes, No, No, Yes], [5], No).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
32. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, true, false, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [1, 2], [No, Yes, Yes, No, No, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2], [No, Yes, Yes, No, No, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
33. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, true, false, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [0, 1, 2], [Yes, No, Yes, No, No, No], [1], No)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 2], [Yes, No, Yes, No, No, No], [1], No).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
34. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, false, true, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [3], [No, No, No, Yes, No, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [3], [No, No, No, Yes, No, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
35. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, false, false, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [0, 3], [Yes, No, No, No, No, No], [3], No)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 3], [Yes, No, No, No, No, No], [3], No).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
36. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, false, true, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [1, 3], [No, Yes, No, Yes, No, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 3], [No, Yes, No, Yes, No, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
37. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, false, true, false, true]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [0, 1, 3], [Yes, Yes, No, Yes, No, Yes], [5], No)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 3], [Yes, Yes, No, Yes, No, Yes], [5], No).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
38. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, true, true, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [2, 3], [No, No, Yes, Yes, No, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2, 3], [No, No, Yes, Yes, No, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
39. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, true, true, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [0, 2, 3], [Yes, Yes, Yes, Yes, No, No], [1], No)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2, 3], [Yes, Yes, Yes, Yes, No, No], [1], No).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
40. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, true, true, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [1, 2, 3], [No, Yes, Yes, Yes, No, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2, 3], [No, Yes, Yes, Yes, No, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
41. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, true, false, false, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [0, 1, 2, 3], [Yes, Yes, Yes, No, No, No], [3], No)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 2, 3], [Yes, Yes, Yes, No, No, No], [3], No).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
42. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, false, false, true, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [4], [No, No, No, No, Yes, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [4], [No, No, No, No, Yes, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
43. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, false, false, true, true]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [0, 4], [Yes, No, No, No, Yes, Yes], [5], No)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 4], [Yes, No, No, No, Yes, Yes], [5], No).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
44. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, false, false, true, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [1, 4], [No, Yes, No, No, Yes, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 4], [No, Yes, No, No, Yes, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
45. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, false, false, true, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [0, 1, 4], [Yes, No, No, No, Yes, No], [1], No)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 4], [Yes, No, No, No, Yes, No], [1], No).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
46. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, true, false, true, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [2, 4], [No, No, Yes, No, Yes, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2, 4], [No, No, Yes, No, Yes, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
47. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, true, true, true, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [0, 2, 4], [Yes, No, Yes, Yes, Yes, No], [3], No)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2, 4], [Yes, No, Yes, Yes, Yes, No], [3], No).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
48. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, true, false, true, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [1, 2, 4], [No, Yes, Yes, No, Yes, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2, 4], [No, Yes, Yes, No, Yes, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
49. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, true, false, true, true]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [0, 1, 2, 4], [Yes, Yes, Yes, No, Yes, Yes], [5], No)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 2, 4], [Yes, Yes, Yes, No, Yes, Yes], [5], No).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
50. Whole Finite Decider Table against Its Specification
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [3, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, false, true, true, false]. Give (n, yes-instance set, decider values, all mismatch indices, complete agreement?).
View answer and explanation
(6, [3, 4], [No, No, No, Yes, Yes, No], [], Yes)
Check every table cell, not a sample; the explicit finite table does not establish termination of a general program. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [3, 4], [No, No, No, Yes, Yes, No], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-decider-agreement · candidate
51. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, true, false, false, false], retained subset=[0, 1, 3]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 1, 3], [], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 3], [], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
52. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, false, true, false, false], retained subset=[1, 2, 4]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [1, 2, 4], [], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2, 4], [], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
53. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, false, false, true, false], retained subset=[2, 3, 5]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [2, 3, 5], [], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2, 3, 5], [], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
54. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, false, false, false, true], retained subset=[0, 3, 4]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 3, 4], [0], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 3, 4], [0], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
55. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, true, false, false, false], retained subset=[1, 4, 5]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [1, 4, 5], [], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 4, 5], [], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
56. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, true, false, false, false], retained subset=[0, 2, 5]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 2, 5], [0, 2], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2, 5], [0, 2], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
57. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, false, false, false, false], retained subset=[0, 1, 3]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 1, 3], [1], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 3], [1], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
58. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, true, true, false, false], retained subset=[1, 2, 4]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [1, 2, 4], [1, 2], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2, 4], [1, 2], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
59. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, false, true, true, false], retained subset=[2, 3, 5]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [2, 3, 5], [3], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2, 3, 5], [3], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
60. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, false, true, false, true], retained subset=[0, 3, 4]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 3, 4], [0, 3], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 3, 4], [0, 3], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
61. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, false, true, false, false], retained subset=[1, 4, 5]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [1, 4, 5], [1], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 4, 5], [1], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
62. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, false, true, false, false], retained subset=[0, 2, 5]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 2, 5], [0], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2, 5], [0], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
63. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, false, true, false, false], retained subset=[0, 1, 3]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 1, 3], [3], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 3], [3], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
64. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, true, false, false, false], retained subset=[1, 2, 4]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [1, 2, 4], [2], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2, 4], [2], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
65. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, true, true, true, false], retained subset=[2, 3, 5]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [2, 3, 5], [2, 3], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2, 3, 5], [2, 3], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
66. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, true, true, false, true], retained subset=[0, 3, 4]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 3, 4], [0, 3], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 3, 4], [0, 3], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
67. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, false, false, true, false], retained subset=[1, 4, 5]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [1, 4, 5], [4], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 4, 5], [4], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
68. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, false, false, true, false], retained subset=[0, 2, 5]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 2, 5], [0], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2, 5], [0], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
69. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, true, false, true, false], retained subset=[0, 1, 3]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 1, 3], [1], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 3], [1], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
70. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, false, true, true, false], retained subset=[1, 2, 4]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [1, 2, 4], [1, 4], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2, 4], [1, 4], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
71. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, true, false, false, false], retained subset=[2, 3, 5]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [2, 3, 5], [2], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2, 3, 5], [2], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
72. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, true, false, true, true], retained subset=[0, 3, 4]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 3, 4], [0, 4], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 3, 4], [0, 4], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
73. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, true, false, true, false], retained subset=[1, 4, 5]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [1, 4, 5], [1, 4], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 4, 5], [1, 4], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
74. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, true, false, true, false], retained subset=[0, 2, 5]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 2, 5], [0, 2], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2, 5], [0, 2], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
75. Restricted Decision Domain with Original Input Labels
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [3, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, true, true, true, false], retained subset=[0, 1, 3]. Give (n, sorted retained labels, restricted yes-instance set, restricted mismatches, restricted agreement?).
View answer and explanation
(6, [0, 1, 3], [3], [], Yes)
Normalize the subset as a set but do not renumber it; mismatches outside the restriction do not become restricted witnesses. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1, 3], [3], [], Yes).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-domain-restriction · candidate
76. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, false, true, false, false], checked subset=[0, 1]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 1], [], [3], Yes, No, sample-passed-full-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1], [], [3], Yes, No, sample-passed-full-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
77. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, false, false, true, false], checked subset=[1, 4]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [1, 4], [4], [4], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 4], [4], [4], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
78. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, false, false, false, true], checked subset=[0, 2]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 2], [], [5], Yes, No, sample-passed-full-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2], [], [5], Yes, No, sample-passed-full-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
79. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, false, false, false, false], checked subset=[0, 3]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 3], [0], [0], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 3], [0], [0], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
80. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, true, false, false, false], checked subset=[1, 2]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [1, 2], [1], [1], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2], [1], [1], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
81. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, false, false, false, false], checked subset=[2, 5]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [2, 5], [2], [2], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2, 5], [2], [2], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
82. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, true, true, false, false], checked subset=[0, 1]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 1], [], [3], Yes, No, sample-passed-full-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1], [], [3], Yes, No, sample-passed-full-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
83. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 2], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, true, false, true, false], checked subset=[1, 4]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [1, 4], [4], [4], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 4], [4], [4], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
84. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, false, true, false, true], checked subset=[0, 2]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 2], [], [5], Yes, No, sample-passed-full-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2], [], [5], Yes, No, sample-passed-full-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
85. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, false, true, false, false], checked subset=[0, 3]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 3], [0], [0], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 3], [0], [0], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
86. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, false, true, false, false], checked subset=[1, 2]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [1, 2], [1], [1], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2], [1], [1], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
87. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, true, true, false, false], checked subset=[2, 5]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [2, 5], [2], [2], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2, 5], [2], [2], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
88. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, true, false, false, false], checked subset=[0, 1]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 1], [], [3], Yes, No, sample-passed-full-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1], [], [3], Yes, No, sample-passed-full-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
89. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, true, true, true, false], checked subset=[1, 4]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [1, 4], [4], [4], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 4], [4], [4], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
90. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, true, true, false, true], checked subset=[0, 2]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 2], [], [5], Yes, No, sample-passed-full-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2], [], [5], Yes, No, sample-passed-full-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
91. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 2, 3], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, true, true, false, false], checked subset=[0, 3]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 3], [0], [0], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 3], [0], [0], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
92. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, false, false, true, false], checked subset=[1, 2]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [1, 2], [1], [1], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2], [1], [1], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
93. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, false, true, false, true, false], checked subset=[2, 5]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [2, 5], [2], [2], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2, 5], [2], [2], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
94. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, true, false, true, true, false], checked subset=[0, 1]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 1], [], [3], Yes, No, sample-passed-full-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1], [], [3], Yes, No, sample-passed-full-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
95. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, false, false, false, false], checked subset=[1, 4]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [1, 4], [4], [4], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 4], [4], [4], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
96. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, true, false, true, true], checked subset=[0, 2]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 2], [], [5], Yes, No, sample-passed-full-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 2], [], [5], Yes, No, sample-passed-full-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
97. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, true, false, true, false], checked subset=[0, 3]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 3], [0], [0], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 3], [0], [0], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
98. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [1, 2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, true, false, true, false], checked subset=[1, 2]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [1, 2], [1], [1], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [1, 2], [1], [1], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
99. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [0, 1, 2, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[true, true, false, false, true, false], checked subset=[2, 5]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [2, 5], [2], [2], No, No, sample-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [2, 5], [2], [2], No, No, sample-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
100. Sample Agreement Is Not Complete Finite Agreement
The explicit finite input set is Fin(6)={0,…,5} and its yes-instance set is [3, 4], normalized as a set. The specification is separate from the supplied Boolean decider table; finite table agreement implies no general infinite-domain decidability result. Complete decider=[false, false, false, false, true, false], checked subset=[0, 1]. Give (n, checked labels, sampled mismatches, complete mismatches, sample agreement?, complete agreement?, complete-agreement/sample-passed-full-failed/sample-failed).
View answer and explanation
(6, [0, 1], [], [3], Yes, No, sample-passed-full-failed)
Compare sampled and full mismatch inventories independently, including an empty checked set. Exact finite/synthetic checks are not new general formal Evidence. The exact result, retaining the requested order, is (6, [0, 1], [], [3], Yes, No, sample-passed-full-failed).
Reviewed step-by-step derivation
Decision problem · qf-ext18-decision-complete-vs-sample · candidate
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