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Question 32581: Integer Sign Classification

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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R0064-32581 · q-20260919-integer-sign-classification-0006

Original question and givens

Relative to 0, is the integer -5 positive, zero, or negative?

  • G001 — Relative to 0, is the integer -5 positive, zero, or negative?

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

source roles = [qf-integer-sign-classification, no-required-operation, no-required-domain, []]

After

derived = [[SOURCE_sign_label_STRING]]

Conditions: none

Legacy banks enforce their exact source keys/operation/domain.BASE integers retain metadata without treating it as an oracle.Distinguish NUMBER,string,fraction pair and vector equality formats;retain original bilingual data/AST/status.

Step identifiers and dependencies

Rule: R64_SOURCE_exact_legacy_interface_BASE_metadata_AND_output_roles · Uses: G001

S002 · implies

Before

source roles = [-5, integer-sign: negative]

After

derived = [integer-sign: negative, No, Yes, No]

Conditions: none

Classify n relative to0 and verify the supplied positive/negative/zero label.Zero is neither positive nor negative.Retain SOURCE labels,not−1/0/+1;English display is explicitly contextual.

Step identifiers and dependencies

Rule: Integer_SIGN_relative_zero_source_label_zero_neither · Uses: G001, S001

Reverse checks

  • S002 · premise_and_result_audit — Reverse-check ORIGINAL data,field roles,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
  • S001 · premise_and_result_audit — Reverse-check ORIGINAL data,field roles,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.

Result

Negative

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: 4ff28538b31ffd42cc4d81b4d021bdbdd3da8f8c8baab5698625498c75a2cd40
  • candidate record SHA-256: d9c43d38db07046752419a45426bbdd14ef97e6a2a024cc2d1750a788fa82323
  • semantic review receipt SHA-256: 8b9ea3ddfab468e9e3f0a0fc0f7682987d5e030be0d7c8860fd85df19cbe183b
  • question-first witness SHA-256: 066bfeab8fc279706861faade71b9a18a61a25235fc48700092f0488d2a6da6a
  • Lean: NOT_RUN · human review: NOT_PERFORMED
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