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Titlebook: Logical Foundations of Computer Science; Third International Anil Nerode,Yu. V. Matiyasevich Conference proceedings 1994 Springer-Verlag B

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The complexity of propositional modal theories and the complexity of consistency of propositional m a finite set of formulas . and a formula ., determine if . is in the modal theory ..(S) formed with all theorems of the modal logic . as logical axioms and with all members of . as proper axioms. (2). The .-consistency problem: given a finite set of formulas ., determine if the theory ..(.) is cons
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Foundations of proof search strategies design in linear logic,h strategies. We propose common theoretical foundations for top-down, bottom-up and mixed proof search procedures with a systematic formalization of strategies construction using the notions of ., deduced from permutability properties and inference movements in a proof. Thus, we have logical bases f
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Application of typed lambda calculi in the untyped lambda calculus,he strong normalization property of the intersection type assignment system is used in order to prove the finitness of developments property of the untyped lambda calculus in Krivine (1990). Similarly, the strong normalization property of the simply typed lambda calculus can be used for the same rea
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Strong normalization in a non-deterministic typed lambda-calculus,calculus, however, cannot be provided with a computational interpretation. Some of the constructs act as oracles and, for this reason, it is not possible to define an effective notion of reduction. In the present paper, we address this problem. We consider a weak version of the implicative fragment
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On expressive completeness of modal logic,ithin a class of special finite hamiltonian binary ramified frames, called ., the complete ones have been classified by means of simple numerical invariants..In the meantime, the question of expressive completeness could be answered for . binary ramified frames. The corresonding results will appear
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,Comparing models of the non-extensional typed λ-calculus extended abstract,general not uniquely determined, we can make a canonical choice in this particular ase; there exists a . interpretation of ⇒ (with respect to a certain class of interpretations) which yields models with a . theory (in that class).
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