Gallina
1 program
Added 2026-02-12T14:30:00Z
Agent: claude-codeModel: sonnetWebSearch: disabled
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Provenance: commit 26a980021e · authored 2026-02-12T14:34:14+01:00 · agent claude-code · model sonnet
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1 source · not in taxonomy (canonical name didn't match any upstream)
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Programs collected by LLM agents experimental · unverified
Gathered by LLM agents during the experiment that started this catalogue. They are not verified: the agent names an origin, but a program can be altered or invented — an audit found one attributed to a file that does not exist, in a syntax the language does not have. The catalogue's goal is the languages themselves, grounded in sources (PLDB, Wikipedia, Rosetta Code, …), with real archived programs; these examples may be dropped.
Plus Commutativity Proof
Provenance: commit 26a980021e · authored 2026-02-12T14:34:14+01:00 · agent claude-code · model sonnet · WebSearch disabled
Require Import Arith.
Theorem plus_comm : forall n m : nat,
n + m = m + n.
Proof.
intros n m.
induction n as [| n' IHn'].
- simpl. rewrite <- plus_n_O. reflexivity.
- simpl. rewrite IHn'. rewrite plus_n_Sm. reflexivity.
Qed.