Fixpoint semantics for logic programming a survey
نویسندگان
چکیده
منابع مشابه
Fixpoint semantics for logic programming a survey
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 p...
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The study of fixpoints has long been at the heart of logic programming. However, whereas least fixpoint semantics works well for SLD-refutations (i.e. is sound and complete), there is no satisfactory (i.e. complete) fixpoint semantics for infinite derivations. In this paper, we focus on this problem. Standard approaches in this area consist in concentrating on infinite derivations that can be s...
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The variety of semantical approaches that have been invented for logic programs for reasoning about inconsistent databases is quite broad. Especially, we are interested in an ontological encapsulation of a many-valued logics with negation, based on bilattices, into a 2-valued logic: this new approach is a minimilistic one based on the concept of the semantic reflection. We define a Model theore...
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D We present a fixpoint semantics for disjunctive logic programs. We extend the concept of the Herbrand base of a logic program to consist of all positive clauses that may be formed using the atoms in the Herbrand base. A monotonic closure operator is defined, operating on the lattice formed by the power set of the extended Herbrand base. The closure operator is shown to achieve a least fixpoin...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2002
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(00)00330-3