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Titlebook: Logic for Programming, Artificial Intelligence, and Reasoning; 13th International C Miki Hermann,Andrei Voronkov Conference proceedings 200

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楼主: ARRAY
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SAT Solving for Argument Filterings,SAT solvers for termination analysis of term rewrite systems based on the dependency pair method. We address two main inter-related issues and encode them as satisfiability problems of propositional formulas that can be efficiently handled by SAT solving: (1) the combined search for a lexicographic
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Inductive Decidability Using Implicit Induction,ide the theory handled by a decision procedure. Often, reasoning about user-defined functions on those data structures is needed. For this, inductive reasoning has to be employed. In this work, classes of function definitions and conjectures are identified for which inductive validity can be automat
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Derivational Complexity of Knuth-Bendix Orders Revisited, derivation height are preserved, if . fulfils some mild conditions. This allows us to obtain bounds on the derivational height of non simply terminating TRSs. Furthermore, we re-establish the 2-recursive upper-bound on the derivational complexity of finite rewrite systems . compatible with KBO.
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Modular Cut-Elimination: Finding Proofs or Counterexamples,able rules. We introduce syntactic necessary and sufficient conditions for modular cut-elimination for standard calculi, a wide class of (possibly) multiple-conclusion sequent calculi with generalized quantifiers. We provide a ”universal” modular cut-elimination procedure that works uniformly for an
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An Executable Formalization of the HOL/Nuprl Connection in the Metalogical Framework Twelf,nd a polymorphic extensional type theory. In earlier work we have established a proof-theoretic correctness result of the translation in a way that complements Howe’s semantics-based justification and furthermore goes beyond the original HOL/Nuprl connection by providing the foundation for a proof t
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A Semantic Completeness Proof for TaMeD,theorem proving and a tableau method for first-order classical deduction modulo has been developed. We reformulate this method and give an (almost constructive) semantic completeness proof. This new proof allows us to extend the completeness theorem to several classes of rewrite systems used for com
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