Coalgebraic logic programming: from Semantics to Implementation

Ekaterina Komendantskaya, John Power, Martin Schmidt

Research output: Contribution to journalArticle

10 Citations (Scopus)
15 Downloads (Pure)

Abstract

Coinductive definitions, such as that of an infinite stream, may often be described by elegant logic programs, but ones for which SLD-refutation is of no value as SLD-derivations fall into infinite loops. Such definitions give rise to questions of lazy corecursive derivations and parallelism, as execution of such logic programs can have both recursive and corecursive features at once. Observational and coalgebraic semantics have been used to study them abstractly. The programming developments have often occurred separately and have usually been implementation-led. Here, we give a coherent semantics-led account of the issues, starting with abstract category theoretic semantics, developing coalgebra to characterize naturally arising trees and proceeding towards implementation of a new dialect, CoALP, of logic programming, characterised by guarded lazy corecursion and parallelism.
Original languageEnglish
Pages (from-to)745-783
Number of pages39
JournalJournal of Logic and Computation
Volume26
Issue number2
Early online date28 May 2014
DOIs
Publication statusPublished - Apr 2016

Keywords

  • Logic programming
  • coalgebra
  • observational semantics
  • corecursion
  • coinduction
  • parallelism

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