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Titlebook: CSL ‘89; 3rd Workshop on Comp Egon Börger,Hans Kleine Büning,Michael M. Richter Conference proceedings 1990 Springer-Verlag Berlin Heidelbe

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Davis-Putnam resolution versus unrestricted resolution,e of the variables of the formula such that x is eliminated (with the resolution rule) before y on any branch of the proof tree representing the resolution proof, only if x is before y in this sequence. Davis-Putnam resolution is one of several resolution restrictions. It is complete..We present an
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Polymorphic recursion and semi-unification,pe theory of programming languages. We introduce semi-unification via the typability problem for polymorphic recursive definitions, present a reduction calculus for semi-unification problems, and discuss partial results on termination of reductions. We prove decidability of semi-unification in two v
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Deciding Horn classes by hyperresolution,es or by propositional features these classes are characterized by variable occurrence — and term depth properties. Special attention is given to a subclass of the Horn clause implication problem, which can be represented as consistency problem; to decide ∀C→∀D, ( ∀C denotes the universal closoure o
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New ways for developing proof theories for first-order multi modal logics,sentially extensions of modal logics. In this paper a quite complex first-order many-sorted multi modal logic (MM-Logic) with modal operators referring to a basic branching accessibility relation, its reflexive, transitive and reflexive-transitive closure, indexed modal operators, ‘eventually’ opera
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