Download e-book for iPad: Automated Theory Formation in Pure Mathematics by Simon Colton

By Simon Colton

ISBN-10: 1447111133

ISBN-13: 9781447111139

ISBN-10: 1852336099

ISBN-13: 9781852336097

lately, synthetic Intelligence researchers have principally targeted their efforts on fixing particular difficulties, with much less emphasis on 'the titanic photo' - automating huge scale projects which require human-level intelligence to adopt. the topic of this e-book, computerized thought formation in arithmetic, is any such huge scale job. automatic idea formation calls for the discovery of recent recommendations, the calculating of examples, the making of conjectures and the proving of theorems. This booklet, representing 4 years of PhD paintings by way of Dr. Simon Colton demonstrates how idea formation could be computerized. development on over two decades of study into developing an automatic mathematician conducted in Professor Alan Bundy's mathematical reasoning team in Edinburgh, Dr. Colton has applied the HR procedure as an answer to the matter of forming theories through desktop. HR makes use of numerous items of mathematical software program, together with computerized theorem provers, version turbines and databases, to construct a thought from the naked minimal of knowledge - the axioms of a site. the most program of this paintings has been mathematical discovery, and HR has had many successes. specifically, it has invented 20 new forms of variety of enough curiosity to be authorized into the Encyclopaedia of Integer Sequences, a repository of over 60,000 sequences contributed through many (human) mathematicians.

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Automated Theory Formation in Pure Mathematics (Distinguished Dissertations) by Simon Colton

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