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Titlebook: Computational Logic — CL 2000; First International John Lloyd,Veronica Dahl,Peter J. Stuckey Conference proceedings 2000 Springer-Verlag B

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A Denotational Semantics of Defeasible Logicpaper a denotational semantics is given for defeasible logic, as a step towards a full model theory. The logic is sound and complete wrt this semantics, but the semantics is not completely satisfactory as a model theory. We indicate directions for research that might resolve these issues.
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Isoinitial Semantics for Logic Programsch a theory (program) proves (computes) only positive literals (atoms) in ., so it does not deal with negation. In this paper, we introduce . semantics for logic programs and show that it can provide a rich semantics for logic programs, which can deal with not just negation, but also incomplete info
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Abstract Syntax for Variable Binders: An Overviewe programs, types, formulas, and proofs. A common characteristic of these syntactic objects is that they contain variable binders, such as quantifiers, formal parameters, and blocks. It is a common observation that representing such binders using only first-order expressions is problematic since the
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Goal-Directed Proof Search in Multiple-Conclusioned Intuitionistic Logicogic programming languages for intuitionistic logic in the (single-conclusioned) sequent calculus LJ, but has subsequently been adapted to multiple-conclusioned systems such as those for linear logic. Given these developments, it seems interesting to investigate the notion of goal-directed proofs fo
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Model Generation Theorem Proving with Finite Interval Constraintsal problems. For some applications the representation of models in MGTP and its extension CMGTP is too redundant. Here we suggest to extend members of model candidates in such a way that a predicate . can have not only terms as arguments, but at certain places also subsets of totally ordered finite
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Orientierung und Verankerung im Fachgebiet,inism, existential quantification to declaration of a local variable, and negation to the “negation as finite failure” rule. The soundness result shows correctness of the semantics with respect to the notion of truth. The proof resembles in some aspects the proof of the soundness of the SLDNF-resolution.
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