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Approximation Fixpoint Theory in Coq: With an Application to Logic Programming

  • Bart Bogaerts
    ,
  • Luís Cruz-Filipe
  • University Libre du Bruxelles
    ,
  • University of Southern Denmark
Research Output:
Journal Article or Conference Article in Journal
Journal article
Peer-review

Publication Information

Output type

Research Output:
Journal Article or Conference Article in Journal
Journal article
Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 84-99 (16 pages)

Journal (Volume, Issue Number)

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Volume 14560)

Publication milestones

  • Published - 22/05/2024

Publication status

Published - 22/05/2024

Publication IDs

  • Scopus: 85195935389

Abstract

Approximation Fixpoint Theory (AFT) is an abstract framework based on lattice theory that unifies semantics of different non-monotonic logic. AFT has revealed itself to be applicable in a variety of new domains within knowledge representation. In this work, we present a formalisation of the key constructions and results of AFT in the Coq theorem prover, together with a case study illustrating its application to propositional logic programming.

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