Coinductive semantics of Horn Clauses with compact constraint:

Abstract: "A constraint language L with an interpretation in the domain [formula] of non-well-founded sets over a finite set A of atoms which is hereditary finite with a cardinality no more than [kappa] is proposed. L is a qualifier free first order sublanguage with equality, subsumption, disju...

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Bibliographic Details
Main Author: Mukai, Kuniaki (Author)
Format: Book
Language:English
Published: Tokyo, Japan 1990
Series:Shin-Sedai-Konpyūta-Gijutsu-Kaihatsu-Kikō <Tōkyō>: ICOT technical report 562
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Summary:Abstract: "A constraint language L with an interpretation in the domain [formula] of non-well-founded sets over a finite set A of atoms which is hereditary finite with a cardinality no more than [kappa] is proposed. L is a qualifier free first order sublanguage with equality, subsumption, disjunction, and negation. It is proved that the domain [formula] is solution compact and L is satisfication complete in the sense of constraint logic programming (CLP) schema. According to the schema we have now CLP(AFA) just as CLP(R), where R is the domain of real numbers. By general theory of the CLP scheme completeness and soundness theorem are obtained for the class of canonical programs
A characterization of the canonical programs is given in terms of bisimulation relation. Operationally this is equivalent to that variables in negative constraints must be grounded in a finite number of steps on the computation. These results are shown directly based on the AFA set theory. A declarative semantics and an operational semantics of a given Horn clause program over the constraint language L are defined coinductively in the domain [formula]. Soundness and completeness are proved by showing a simulation relation between two semantic domains. Basic computational concepts of CLP schema are well understood in this method of ZFC-/AFA set theory
A large part of existing constraint logic programming and unification grammar formalisms are reconstructed in the domain [formula].
Physical Description:24 s.-

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