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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 (KAR id:21662)


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: Reports and Papers (Technical report)
Additional information: Presented at the workshop Calculemus and Types, Eindhoven, Netherlands, July 1998.
Uncontrolled keywords: Axiom Aldor reasoning dependent type category combination
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: Mark Wheadon
Date Deposited: 22 Aug 2009 13:57 UTC
Last Modified: 16 Nov 2021 10:00 UTC
Resource URI: (The current URI for this page, for reference purposes)

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