Mechanical analysis of finite idempotent relations

Article

Kammueller, F. 2011. Mechanical analysis of finite idempotent relations. Fundamenta Informaticae. 107 (1), pp. 43-65. https://doi.org/10.3233/FI-2011-392
TypeArticle
TitleMechanical analysis of finite idempotent relations
AuthorsKammueller, F.
Abstract

We use the technique of interactive theorem proving to develop the theory and anenumeration technique for finite idempotent relations. Starting from a short mathematical characterization of finite idempotents defined and proved in Isabelle/HOL, we derive first an iterative procedure to generate all instances of idempotents over a finite set. From there, we develop a more precise theo- retical characterization giving rise to an efficient predicate that can be executed in the programming language ML. Idempotent relations represent a very basic, general mathematical concept but the steps taken to develop their theory with the help of Isabelle/HOL are representative for developing algorithms from a mathematical specification.

Research GroupArtificial Intelligence group
Foundations of Computing group
PublisherIOS Press
JournalFundamenta Informaticae
ISSN0169-2968
Electronic1875-8681
Publication dates
Print2011
Publication process dates
Deposited06 Jan 2011
Output statusPublished
Copyright Statement

With thanks to IOS Press for permission for allowing the post-refereed article to be included.

Digital Object Identifier (DOI)https://doi.org/10.3233/FI-2011-392
LanguageEnglish
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