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Question 2182: Presence Flags for a Replayable Synthetic Record

On this page
  1. Original question and givens
  2. Definition and scope
  3. Step-by-step derivation
  4. Reverse checks
  5. Result
  6. This question review and source binding

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R0003-02182 · q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0082

Original question and givens

Use a synthetic response record and the explicitly declared mathematical rule. A match code reports only rule agreement, not the ability, personality, learning difficulty, cause of error or learning outcome of a real student. item_id=21006; prompt_present=true, expected_present=true, response_present=true, rule_present=false. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).

  • G001 — Use a synthetic response record and the explicitly declared mathematical rule. A match code reports only rule agreement, not the ability, personality, learning difficulty, cause of error or learning outcome of a real student. item_id=21006; prompt_present=true, expected_present=true, response_present=true, rule_present=false. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).

Definition and scope

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.

Step-by-step derivation

S001 · implies

Before

synthetic response record and a declared mathematical rule

After

check rule agreement,not a learner diagnosis

Conditions: none

These are synthetic records;one response does not diagnose a real learner's ability,psychology or learning outcome.

Step identifiers and dependencies

Rule: synthetic_record_scope · Uses: G001

S002 · implies

Before

item=21006; prompt_present

After

Yes

Conditions: none

Read each explicit presence flag;neither numeric0 nor a False response is inherently missing data.

Step identifiers and dependencies

Rule: explicit_presence_flag · Uses: G001, S001

S003 · implies

Before

item=21006; expected_present

After

Yes

Conditions: none

Read each explicit presence flag;neither numeric0 nor a False response is inherently missing data.

Step identifiers and dependencies

Rule: explicit_presence_flag · Uses: G001, S002

S004 · implies

Before

item=21006; response_present

After

Yes

Conditions: none

Read each explicit presence flag;neither numeric0 nor a False response is inherently missing data.

Step identifiers and dependencies

Rule: explicit_presence_flag · Uses: G001, S003

S005 · implies

Before

item=21006; rule_present

After

No

Conditions: none

Read each explicit presence flag;neither numeric0 nor a False response is inherently missing data.

Step identifiers and dependencies

Rule: explicit_presence_flag · Uses: G001, S004

S006 · implies

Before

[Yes, Yes, Yes, No]

After

all four fields present=No; code=synthetic_record_incomplete

Conditions: none

All four fields must be present;a complete record is not necessarily correct or reviewed.

Step identifiers and dependencies

Rule: record_completeness_conjunction · Uses: G001, S005

Reverse checks

  • 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.

Result

(21006, Yes, Yes, Yes, No, No, synthetic_record_incomplete)

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

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.

Source hashes and review receipts
  • input commit: 0f7be61e2c22317a4075561dc822c87d881a50db
  • original question SHA-256: 6431f5ef0de1ae00ee0223feedb5fbbaaa4a58b94b9cab3ba4349a41e93989d2
  • candidate record SHA-256: fa4b2137c61bc0b65f4544ef14b9cc46aeca6adcc3ed1d154093f0a17433750b
  • semantic review receipt SHA-256: 5dbc70ebd5f74b23384c93b63a2b1d6519e206c79f22ae16a6c2d7483cea783f
  • question-first witness SHA-256: cf121c8dd2fec13aa118b04b049ee39494f1d6d9ecdc13514cafb78c0fc021fa
  • Lean: NOT_RUN · human review: NOT_PERFORMED
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