A verified proof checker for higher-order logic

• We present a computer program for checking proofs in higher-order logic (HOL) that is verified to accept only valid proofs. The proof checker is defined as functions in HOL and synthesized to CakeML code, and uses the Candle theorem prover kernel to check logical inferences. The checker reads proofs in the OpenTheory article format, which means proofs produced by various HOL proof assistants are supported. The proof checker is implemented and verified using the HOL4 theorem prover, and comes with a proof of soundness. (C) 2020 Elsevier Inc. All rights reserved.

Ämnesord

NATURVETENSKAP  -- Matematik -- Geometri (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Geometry (hsv//eng)

NATURVETENSKAP  -- Data- och informationsvetenskap -- Datavetenskap (hsv//swe)

NATURAL SCIENCES  -- Computer and Information Sciences -- Computer Sciences (hsv//eng)

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Nyckelord

Mechanized proof

Proof checker

Soundness

Higher-order logic

Publikations- och innehållstyp

art (ämneskategori)

ref (ämneskategori)