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By Simon Colton

lately, synthetic Intelligence researchers have mostly centred their efforts on fixing particular difficulties, with much less emphasis on 'the large photo' - automating huge scale initiatives which require human-level intelligence to adopt. the topic of this ebook, automatic idea formation in arithmetic, is this kind of huge scale job. automatic idea formation calls for the discovery of latest techniques, the calculating of examples, the making of conjectures and the proving of theorems. This ebook, representing 4 years of PhD paintings by means of Dr. Simon Colton demonstrates how idea formation could be computerized. development on over twenty years of study into developing an automatic mathematician conducted in Professor Alan Bundy's mathematical reasoning staff in Edinburgh, Dr. Colton has applied the HR method as an answer to the matter of forming theories via laptop. HR makes use of numerous items of mathematical software program, together with computerized theorem provers, version turbines and databases, to construct a concept from the naked minimal of data - the axioms of a website. the most program of this paintings has been mathematical discovery, and HR has had many successes. particularly, it has invented 20 new forms of variety of enough curiosity to be authorised into the Encyclopaedia of Integer Sequences, a repository of over 60,000 sequences contributed by means of many (human) mathematicians.

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

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