A Mechanisation of Computability Theory in HOL

Zammit, Vincent (1996) A Mechanisation of Computability Theory in HOL. In: Proceedings of the 9th International Conference on Theorem Proving in Higher Order Logics.

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Abstract

This paper describes a mechanisation of computability theory in HOL using the Unlimited Register Machine (URM) model of computation. The URM model is first specified as a rudimentary machine language and then the notion of a computable function is derived. This is followed by an illustration of the proof of a number of basic results of computability which include various closure properties of computable functions. These are used in the implementation of a mechanism which partly automates the proof of the computability of functions and a number of functions are then proved to be computable. This work forms part of a comparative study of different theorem proving approaches and a brief discussion regarding theorem proving in HOL follows the description of the mechanisation.

Item Type:	Conference or workshop item (UNSPECIFIED)
Uncontrolled keywords:	Computability Theory, URM, Theorem Proving, Formalization of Mathematics
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions:	Faculties > Science Technology and Medical Studies > School of Computing > Theoretical Computing Group
Depositing User:	Mark Wheadon
Date Deposited:	27 Aug 2009 18:44
Last Modified:	24 Apr 2012 14:40
Resource URI:	http://kar.kent.ac.uk/id/eprint/21347 (The current URI for this page, for reference purposes)

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