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R0010-05907 · q-20261009-advance-20261013-r05-logical-connectives-0007
Complete classical eight-row tables have indices 0,…,7, with 1=True and 0=False: A=[1, 1, 0, 0, 0, 0, 0, 0], B=[1, 0, 0, 0, 0, 0, 0, 0]. Give (A∧B truth table, inclusive A∨B truth table).
G001 — Complete classical eight-row tables have indices 0,…,7, with 1=True and 0=False: A=[1, 1, 0, 0, 0, 0, 0, 0], B=[1, 0, 0, 0, 0, 0, 0, 0]. Give (A∧B truth table, inclusive A∨B truth table).Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.
Before
given8 rows A=[1, 1, 0, 0, 0, 0, 0, 0];B=[1, 0, 0, 0, 0, 0, 0, 0]
After
classical Boolean values;read all supplied rows in order0,...,7
Conditions: none
Interpret1 as True and0 as False and read all eight supplied rows.Do not assume arbitrary eight rows exhaust all valuations or prove every inference rule.Material implication is not causation.
Rule: classical_eight_row_connective_scope · Uses: G001
Before
row=0;A=True;B=True
After
A∧B=True;A∨B=True
Conditions: none
Conjunction requires both true;inclusive disjunction requires at least one true and permits both.
Rule: and_inclusive_or_row · Uses: G001, S001
Before
row=1;A=True;B=False
After
A∧B=False;A∨B=True
Conditions: none
Conjunction requires both true;inclusive disjunction requires at least one true and permits both.
Rule: and_inclusive_or_row · Uses: G001, S002
Before
row=2;A=False;B=False
After
A∧B=False;A∨B=False
Conditions: none
Conjunction requires both true;inclusive disjunction requires at least one true and permits both.
Rule: and_inclusive_or_row · Uses: G001, S003
Before
row=3;A=False;B=False
After
A∧B=False;A∨B=False
Conditions: none
Conjunction requires both true;inclusive disjunction requires at least one true and permits both.
Rule: and_inclusive_or_row · Uses: G001, S004
Before
row=4;A=False;B=False
After
A∧B=False;A∨B=False
Conditions: none
Conjunction requires both true;inclusive disjunction requires at least one true and permits both.
Rule: and_inclusive_or_row · Uses: G001, S005
Before
row=5;A=False;B=False
After
A∧B=False;A∨B=False
Conditions: none
Conjunction requires both true;inclusive disjunction requires at least one true and permits both.
Rule: and_inclusive_or_row · Uses: G001, S006
Before
row=6;A=False;B=False
After
A∧B=False;A∨B=False
Conditions: none
Conjunction requires both true;inclusive disjunction requires at least one true and permits both.
Rule: and_inclusive_or_row · Uses: G001, S007
Before
row=7;A=False;B=False
After
A∧B=False;A∨B=False
Conditions: none
Conjunction requires both true;inclusive disjunction requires at least one true and permits both.
Rule: and_inclusive_or_row · Uses: G001, S008
Before
([True, False, False, False, False, False, False, False], [True, True, False, False, False, False, False, False])
After
complete ordered results of the two requested connectives
Conditions: none
Each output column retains all eight original rows.This checks the given classical table rowwise,not a general formal proof inferred from matching values or table labels.
Rule: complete_given_connective_rows · Uses: G001, S009
S010 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.S009 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.S008 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.S007 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.S006 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.S005 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.S004 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.S003 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.S002 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.([True, False, False, False, False, False, False, False], [True, True, False, False, False, False, False, False])
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
Review date: 2026-10-26
Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.
input commit: 0f7be61e2c22317a4075561dc822c87d881a50dboriginal question SHA-256: 9b3bdf1a12a4a28087e90141f150ba4e5f0c98b84285742f607c8ec557cb3862candidate record SHA-256: 093e36647879dfce8c753b1b9c9465551a395ad7523c3e8e087862ee30667785semantic review receipt SHA-256: 0328166a2e335aac7a5fb34556e68c80ba7d16612e822b3999c8ac348a9ca06fquestion-first witness SHA-256: 0da18e4e6cf71ece5ec5f00dd0cd161217b6d251672bc0b46d79fe7e6253f5fcLean: NOT_RUN · human review: NOT_PERFORMED