Adding the axioms to Axiom: Towards a system of automated reasoning in Aldor

Poll, Erik and Thompson, Simon (1998) Adding the axioms to Axiom: Towards a system of automated reasoning in Aldor. Technical report. Kent University (Full text available)

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Abstract

A number of combinations of theorem proving and computer algebra systems have been proposed; in this paper we describe another, namely a way to incorporate a logic in the computer algebra system Axiom. We examine the type system of Aldor -- the Axiom Library Compiler -- and show that with some modifications we can use the dependent types of the system to model a logic, under the Curry-Howard isomorphism. We give a number of example applications of the logic we construct.

Item Type: Monograph (Technical report)
Additional information: Presented at the workshop Calculemus and Types, Eindhoven, Netherlands, July 1998. http://www.win.tue.nl/math/dw/pp/calc/
Uncontrolled keywords: Axiom Aldor reasoning dependent type category combination
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: 22 Aug 2009 13:57
Last Modified: 06 Sep 2011 04:01
Resource URI: http://kar.kent.ac.uk/id/eprint/21662 (The current URI for this page, for reference purposes)
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