Download PDF by Simon Colton: Automated Theory Formation in Pure Mathematics

By Simon Colton

lately, man made Intelligence researchers have mostly targeted their efforts on fixing particular difficulties, with much less emphasis on 'the enormous photo' - automating huge scale initiatives which require human-level intelligence to adopt. the topic of this booklet, automatic thought formation in arithmetic, is this type of huge scale job. computerized idea formation calls for the discovery of latest suggestions, 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 should be computerized. development on over twenty years of analysis into developing an automatic mathematician conducted in Professor Alan Bundy's mathematical reasoning staff in Edinburgh, Dr. Colton has carried out the HR process as an answer to the matter of forming theories via laptop. HR makes use of a variety of items of mathematical software program, together with automatic theorem provers, version turbines and databases, to construct a concept from the naked minimal of knowledge - the axioms of a site. the most software of this paintings has been mathematical discovery, and HR has had many successes. particularly, it has invented 20 new forms of variety of adequate curiosity to be authorized 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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