Alphabeta Math

Finite-Automata Transition and Determinisation Interfaces

About this page
Pipeline-generated
How statement and proof provenance work

The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.

  • Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
  • AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
  • AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.

These labels describe origin, not correctness: citations and verification chips remain separate evidence.

✓ 3 results · all verified · 3 also independently AI-judged
Every result on this page is machine-checked by a proof checker and read in full and owner-audited; the judge is an additional, independent cross-model AI review of the proofs; all 3 also cleared it.
1 · Prerequisites
2 · Logical flowchart

3 · Items

Definition

Epsilon-NFAs, finite epsilon closure, and extended word transition

Theorem

Subset construction and its exact reachability invariant

Proposition

A DFA embeds as an epsilon-free NFA

Sources