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Knowledge-Based Systems
Volume 5, Issue 4, December 1992, Pages 289-294
 
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doi:10.1016/0950-7051(92)90040-M    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1992 Published by Elsevier Science B.V.

Set-theoretic equation solver based on a truth-maintained architecture

C. J. Hinde and M. Norman

Department of Computer Studies, Loughborough University of Technology, Loughborough, Leicestershire LE11 3TU, UK

Received 15 August 1991; 
revised 4 December 1991; 
accepted 19 December 1991. ;
Available online 17 February 2003.

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Abstract

A set-theoretic equation solver based on PRESS is described, and linked to an assumption-based truth-maintained blackboard system. The methods used in PRESS are extended to solve set-theoretic equations in one unknown where the unknown occurs only once. Problems arising from increasingly underspecified sets being delivered from the system are eliminated by defining subsumption and using most general unification to combine partial solutions. The ATMS contributes to the equation solving by allowing the definition of simple problem-solving axioms which can combine to produce complex behaviour.

Author Keywords: truth maintenance; equation solving; set theory

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Knowledge-Based Systems
Volume 5, Issue 4, December 1992, Pages 289-294
 
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