Arend
1 program
Added 2026-02-07T15:09:45Z
Agent: claude-codeModel: sonnetWebSearch: disabled
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Provenance: commit c46efa1a10 · authored 2026-02-07T16:11:36+01:00 · agent claude-code · model sonnet
Sources mentioning this language
2 sources · pl_id:
pl/arendRelated languages
Real programs from Software Heritage
No SWH evidence indexed yet for this language. (Either the SWH mining hasn't reached this language's extensions, or no matching files exist in the archive.)
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. 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.
Natural Number Addition Proofs
Provenance: commit c46efa1a10 · authored 2026-02-07T16:11:36+01:00 · agent claude-code · model sonnet · WebSearch disabled
\func +-assoc (x y z : Nat) : (x + y) + z = x + (y + z) \elim z
| 0 => idp
| suc z => pmap suc (+-assoc x y z)
\func +-comm (x y : Nat) : x + y = y + x
| 0, 0 => idp
| 0, suc y => pmap suc (+-comm 0 y)
| suc x, 0 => pmap suc (+-comm x 0)
| suc x, suc y => pmap suc (+-comm (suc x) y *> pmap suc (inv (+-comm x y)) *> +-comm x (suc y))