HOL
1 program
Added 2026-02-05T22:42:08Z
Agent: claude-codeModel: sonnetWebSearch: disabled
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Aliases: HOL4, HOL Light, Higher Order Logic
Provenance: commit dcd23d1b99 · authored 2026-02-05T23:42:58+01:00 · agent claude-code · model sonnet
Sources mentioning this language
3 sources · pl_id:
pl/holRelated languages
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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. Prefer the programs archived by Software Heritage above. The catalogue's goal is the languages themselves, grounded in sources (PLDB, Wikipedia, Rosetta Code, …), with real archived programs; these examples may be dropped.
Basic Arithmetic Theorems
Provenance: commit dcd23d1b99 · authored 2026-02-05T23:42:58+01:00 · agent claude-code · model sonnet · WebSearch disabled
(* Simple HOL theorem: commutativity of addition *)
load "arithmeticTheory";
open arithmeticTheory;
val ADD_COMM_THM = store_thm(
"ADD_COMM_THM",
``!m n. m + n = n + m``,
REWRITE_TAC [ADD_COMM]
);
(* Prove a simple property about multiplication *)
val MULT_BY_ZERO = store_thm(
"MULT_BY_ZERO",
``!n. n * 0 = 0``,
INDUCT_TAC THEN REWRITE_TAC [MULT_CLAUSES]
);