Titlebook: Computer Science Logic; 5th Workshop, CSL ‘9 Egon Börger,Gerhard Jäger,Michael M. Richter Conference proceedings 1992 Springer-Verlag Berli

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A new approach to abstract data types II computation on ADTs as ordinary computation,sented in Part I of this paper. This is provided by a form of generalized recursion theory (g.r.t.) which uses schemata for explicit definition, conditional definition and least fixed point (LFP) recursion in partial functions and functionals of type level ≤2 over any appropriate structure. It is sh

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The cutting plane proof system with bounded degree of falsity,on of formulas as systems of integer inequalities. We define a restriction of this system, the cutting plane system with bounded degree of falsity, and show the results: This system .-simulates resolution and has polynomial size proofs for the pigeonhole formulas. The formulas from [ 9] only have su

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Denotational versus declarative semantics for functional programming,bdomain. On the other hand, the usual . for logic programs is . (F.O.) and given by the least Herbrand model. In this paper, we take a restricted kind of H.O. conditional rewriting systems as computational paradigm for functional programming. For these systems, we define both H.O. denotational and F

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Logical inference and polyhedral projection,tain a restricted set of atoms (i.e., all inferences that pertain to a given question) as a logical projection problem. We show that polyhedral projection partially solves this problem and in particular derives precisely those inferences that can be obtained by a certain form of unit resolution. We

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