David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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The variety of semantical approaches that have been invented for logic programs is quite broad, drawing on classical and many-valued logic, lattice theory, game theory, and topology. One source of this richness is the inherent non-monotonicity of its negation, something that does not have close parallels with the machinery of other programming paradigms. Nonetheless, much of the work on logic programming semantics seems to exist side by side with similar work done for imperative and functional programming, with relatively minimal contact between communities. In this paper we summarize one variety of approaches to the semantics of logic programs: that based on ﬁxpoint theory. We do not attempt to cover much beyond this single area, which is already remarkably fruitful. We hope readers will see parallels with, and the divergences from the better known ﬁxpoint treatments developed for other programming methodologies.
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Citations of this work BETA
Massimo Warglien & Peter Gärdenfors (2013). Semantics, Conceptual Spaces, and the Meeting of Minds. Synthese 190 (12):2165-2193.
Chrysida Galanaki, Panos Rondogiannis & William W. Wadge (2008). An Infinite-Game Semantics for Well-Founded Negation in Logic Programming. Annals of Pure and Applied Logic 151 (2-3):70-88.
Thanos Tsouanas (2013). A Game Semantics for Disjunctive Logic Programming. Annals of Pure and Applied Logic 164 (11):1144-1175.
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