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Titlebook: Computer Science Logic; 12th International W Georg Gottlob,Etienne Grandjean,Katrin Seyr Conference proceedings 1999 Springer-Verlag Berlin

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https://doi.org/10.1007/978-3-642-72085-7ger’s algorithm that computes the Gröbner bases of polynomial ideals. In logic, Kripke’s lemma is used in decision proofs of some substructural logics with contraction. Our preferred form here of Dickson-Kripke is the Infinite Division Principle (IDP). We present our proof of IDP and its use in proving the finite model property for ..
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Choice Construct and Lindström Logicshoice fixpoint logic. Consequently, no extension of fixpoint logic with a finite set of quantifiers is more expressive than the extension of fixpoint logic with choice construct. On the other hand, we give a characterization of choice fixpoint logic by an extension of fixpoint logic with a countable set of quantifiers.
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Computational Complexity of Ehrenfeucht-Fraïssé Games on Finite Structuresn switch structure at most . times, and therefore the duplicator wins iff . and . satisfy the same first order formulas of rank at most . and quantifier alternation at most . (defined in the paper). We show that deciding the winner in both the one-sided EF game and the .-alternations EF game is also PSPACE complete.
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Kripke, Belnap, Urquhart and Relevant Decidability & Complexityger’s algorithm that computes the Gröbner bases of polynomial ideals. In logic, Kripke’s lemma is used in decision proofs of some substructural logics with contraction. Our preferred form here of Dickson-Kripke is the Infinite Division Principle (IDP). We present our proof of IDP and its use in proving the finite model property for ..
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On the Power of Quantifiers in First-Order Algebraic Specification give an example of a computable data type that has a monomorphic first-order specification (without hidden functions) and prove that it fails to possess a monomorphic quantifier-free specification (without hidden functions).
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Normalization of Typable Terms by Superdevelopmentsial (or unneeded) subterms which can be replaced by fresh variables without effecting the normal form of .; that is, full garbage collection can be performed before starting the reduction. Finally, we show that, modulo a restricted .-expansion, all simply typable .-terms are hyperbalanced, implying importance of the class of hyperbalanced terms.
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