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Towards automated derivation in the theory of allegories

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Show simple item record Glanfield, Joel. en_US 2010-02-16T15:46:03Z 2010-02-16T15:46:03Z 2008-02-16T15:46:03Z
dc.description.abstract We provide an algorithm that automatically derives many provable theorems in the equational theory of allegories. This was accomplished by noticing properties of an existing decision algorithm that could be extended to provide a derivation in addition to a decision certificate. We also suggest improvements and corrections to previous research in order to motivate further work on a complete derivation mechanism. The results presented here are significant for those interested in relational theories, since we essentially have a subtheory where automatic proof-generation is possible. This is also relevant to program verification since relations are well-suited to describe the behaviour of computer programs. It is likely that extensions of the theory of allegories are also decidable and possibly suitable for further expansions of the algorithm presented here. en_US
dc.language.iso eng en_US
dc.publisher Brock University en_US
dc.subject Allegories (Mathematics) en_US
dc.subject Computer algorithms. en_US
dc.title Towards automated derivation in the theory of allegories en_US
dc.type Electronic Thesis or Dissertation en_US M.Sc. Computer Science en_US Masters en_US
dc.contributor.department Department of Computer Science en_US Faculty of Mathematics and Science en_US

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