Steps Towards Verified Implementations of HOL Light (Rough Diamond)

Myreen, Magnus O. and Owens, Scott and Kumar, Ramana (2013) Steps Towards Verified Implementations of HOL Light (Rough Diamond). In: Interactive Theorem Proving 4th International Conference. Lecture Notes in Computer Science . Springer, Berlin, Germany, pp. 490-495. ISBN 978-3-642-39633-5. E-ISBN 978-3-642-39634-2. (doi:10.1007/978-3-642-39634-2_38) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:36709)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL: http://dx.doi.org/10.1007/978-3-642-39634-2_38

Abstract

This short paper describes our plans and progress towards construction of verified ML implementations of HOL Light: the first formally proved soundness result for an LCF-style prover. Building on Harrison’s formalisation of the HOL Light logic and our previous work on proof-producing synthesis of ML, we have produced verified implementations of each of HOL Light’s kernel functions. What remains is extending Harrison’s soundness proof and proving that ML’s module system provides the required abstraction for soundness of the kernel to relate to the entire theorem prover. The proofs described in this paper involve the HOL Light and HOL4 theorem provers and the OpenTheory toolchain.

Item Type:	Book section
DOI/Identification number:	10.1007/978-3-642-39634-2_38
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Depositing User:	Scott Owens
Date Deposited:	21 Nov 2013 13:26 UTC
Last Modified:	05 Nov 2024 10:20 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/36709 (The current URI for this page, for reference purposes)

University of Kent Author Information

Owens, Scott.

Creator's ORCID:	https://orcid.org/0000-0002-7437-4780
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