MATHsAiD: Automated mathematical theory exploration

The aim of the MATHsAiD project is to build a tool for automated theorem-discovery; to design and build a tool to automatically conjecture and prove theorems (lemmas, corollaries, etc.) from a set of user-supplied axioms and definitions. No other input is required. This tool would, for instance, all...

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Bibliographic Details
Published inApplied intelligence (Dordrecht, Netherlands) Vol. 47; no. 3; pp. 585 - 606
Main Authors McCasland, R. L., Bundy, A., Smith, P. F.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.10.2017
Springer Nature B.V
Subjects
Artificial Intelligence
Automation
Axioms
Computer Science
Invited Paper
Machines
Manufacturing
Mechanical Engineering
Processes
Program verification (computers)
Theorems
Automated theorem proving
Theory exploration
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Summary:The aim of the MATHsAiD project is to build a tool for automated theorem-discovery; to design and build a tool to automatically conjecture and prove theorems (lemmas, corollaries, etc.) from a set of user-supplied axioms and definitions. No other input is required. This tool would, for instance, allow a mathematician to try several versions of a particular definition, and in a relatively small amount of time, be able to see some of the consequences, in terms of the resulting theorems, of each version. Moreover, the automatically discovered theorems could perhaps help the users to discover and prove further theorems for themselves. The tool could also easily be used by educators (to generate exercise sets, for instance) and by students as well. In a similar fashion, it might also prove useful in enabling automated theorem provers to dispatch many of the more difficult proof obligations arising in software verification, by automatically generating lemmas which are needed by the prover, in order to finish these proofs.
ISSN:0924-669X
1573-7497
DOI:10.1007/s10489-017-0954-8