Question 27405: Zero, Composite Bases, Negative Inputs and Cancellation Need Distinct Conventions

Original question and givens

Use mode=zero_convention, base p=3, integer a=0. Give (mode, p, integer_a, valuation, convention).

• G001 — Use mode=zero_convention, base p=3, integer a=0. Give (mode, p, integer_a, valuation, convention).

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.

• mko-p-adic-valuation-integers

Step-by-step derivation

source roles = [pval-boundary]

derived = [[mode, p, integer_a, valuation, convention]]

source roles = [Valuation boundary ORIGINAL zero, 3, 0]

derived = [infinity, 0, 0, []]

Reverse checks

• S002 · premise_and_result_audit — Reverse-check the complete original data,step operands and premises;finite checks,conditional named-theorem use and general formal proof remain distinct.
• S001 · premise_and_result_audit — Reverse-check the complete original data,step operands and premises;finite checks,conditional named-theorem use and general formal proof remain distinct.

Result

(zero_convention, 3, 0, infinity, single_serializable_zero_convention)

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.