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HOL Light: an overview. (English) Zbl 1252.68255
Berghofer, Stefan (ed.) et al., Theorem proving in higher order logics. 22nd international conference, TPHOLs 2009, Munich, Germany, August 17-20, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-03358-2/pbk). Lecture Notes in Computer Science 5674, 60-66 (2009).
Summary: HOL Light is an interactive proof assistant for classical higher-order logic, intended as a clean and simplified version of Mike Gordon’s original HOL system. Theorem provers in this family use a version of ML as both the implementation and interaction language; in HOL Light’s case this is Objective CAML (OCaml). Thanks to its adherence to the so-called ‘LCF approach’, the system can be extended with new inference rules without compromising soundness. While retaining this reliability and programmability from earlier HOL systems, HOL Light is distinguished by its clean and simple design and extremely small logical kernel. Despite this, it provides powerful proof tools and has been applied to some non-trivial tasks in the formalization of mathematics and industrial formal verification.
For the entire collection see [Zbl 1173.68002].

68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
03B35 Mechanization of proofs and logical operations
Full Text: DOI
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