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Programming and automating mathematics in the Tarski-Kleene hierarchy
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computing Science.
2014 (English)In: Journal of Logical and Algebraic Methods in Programming, ISSN 2352-2208, Vol. 83, no 2, 87-102 p.Article in journal (Refereed) Published
Abstract [en]

We present examples from a reference implementation of variants of Kleene algebras and Tarski's relation algebras in the theorem proving environment Isabelle/HOL. For Kleene algebras we show how models can be programmed, including sets of traces and paths, languages, binary relations, max-plus and min-plus algebras, matrices, formal power series. For relation algebras we discuss primarily proof automation in a comprehensive library and present an advanced formalisation example. 

Place, publisher, year, edition, pages
2014. Vol. 83, no 2, 87-102 p.
Keyword [en]
Formalised mathematics, Interactive theorem proving, Kleene algebra, Relation algebra
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:uu:diva-229532DOI: 10.1016/j.jlap.2014.02.001ISI: 000338266900002OAI: oai:DiVA.org:uu-229532DiVA: diva2:737106
Available from: 2014-08-11 Created: 2014-08-11 Last updated: 2014-08-11Bibliographically approved

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Weber, Tjark

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