Read e-book online Automated Theory Formation in Pure Mathematics PDF

By Simon Colton

ISBN-10: 1447111133

ISBN-13: 9781447111139

ISBN-10: 1852336099

ISBN-13: 9781852336097

in recent times, man made Intelligence researchers have principally concentrated their efforts on fixing particular difficulties, with much less emphasis on 'the giant photo' - automating huge scale projects which require human-level intelligence to adopt. the topic of this e-book, computerized idea formation in arithmetic, is this kind of huge scale activity. computerized thought formation calls for the discovery of recent options, the calculating of examples, the making of conjectures and the proving of theorems. This booklet, representing 4 years of PhD paintings by means of Dr. Simon Colton demonstrates how thought formation might be computerized. construction on over two decades of analysis into developing an automatic mathematician conducted in Professor Alan Bundy's mathematical reasoning team in Edinburgh, Dr. Colton has carried out the HR method as an answer to the matter of forming theories by means of 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 data - the axioms of a website. the most software of this paintings has been mathematical discovery, and HR has had many successes. specifically, it has invented 20 new varieties of variety of enough curiosity to be approved into the Encyclopaedia of Integer Sequences, a repository of over 60,000 sequences contributed via many (human) mathematicians.

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

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