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Logic Programming from the Perspective of Algebraic Semantics
Author(s) -
Jan A. Plaza
Publication year - 1996
Publication title -
fundamenta informaticae
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.311
H-Index - 67
eISSN - 1875-8681
pISSN - 0169-2968
DOI - 10.3233/fi-1996-281210
Subject(s) - semantics (computer science) , algebraic logic , connection (principal bundle) , perspective (graphical) , programming language , algebraic semantics , logic programming , mathematics , algebraic number , algebra over a field , computer science , theoretical computer science , pure mathematics , artificial intelligence , mathematical analysis , geometry
We present an approach to foundations of logic programming in which the connection with algebraic semantics becomes apparent. The approach is based on omega-Herbrand models instead of conventional Herbrand models. We give a proof of Clark's theorem on completeness of SLD-resolution by methods of the algebraic semantics. We prove the existence property for definite programs.

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