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Title: Towards the automation of mathematical reasoning
Author: Brown, Frank Malloy
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 1978
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We first argue that the improved performance of modern theorem provers is due basically to the use of domain dependent deductive knowledge processing certain simple properties. We exemplify this thesis by discussing various theorem provers for propositional logic and then for elementary arithmetic. In particular we describe a domain dependent theorem prover for elementary arithmetic which we have implemented. Secondly, we then argue that theorem provers based on domain dependent knowledge, such as our arithmetic theorem proven, are not the kinds of deductive systems that are needed as a component of a mathematical reasoning system. The reason for this being that such systems are not extensible in that they cannot assimilate and use new deductive knowledge produced by a mathematical reasoning system. Finally, we describe a prototype deductive system, for the domain of elementary set theory, which is extensible in this sense.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available