Question 27526: Empty Language, Epsilon, Wildcards and Bounded Equality Are Not Interchangeable

Original question and givens

Use mode=empty_vs_epsilon, complete model={"alphabet":[]}. Give (mode, alphabet, empty_language, epsilon_language, language_identity_claim, boundary).

• G001 — Use mode=empty_vs_epsilon, complete model={"alphabet":[]}. Give (mode, alphabet, empty_language, epsilon_language, language_identity_claim, boundary).

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-regular-expression

Step-by-step derivation

source roles = [regex-boundary]

derived = [[mode, alphabet, empty_language, epsilon_language, language_identity_claim, boundary]]

source roles = [[]]

derived = [[], [[]], No]

Reverse checks

• S002 · premise_and_result_audit — Reverse-check original data,operands,complete scope and premises;finite witnesses,conditional theorem use and formal proof remain distinct.
• S001 · premise_and_result_audit — Reverse-check original data,operands,complete scope and premises;finite witnesses,conditional theorem use and formal proof remain distinct.

Result

(empty_vs_epsilon, [], [], [[]], No, empty_language_not_language_containing_empty_word)

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.