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Titlebook: Logical Foundations of Computer Science; International Sympos Sergei N. Artemov,Anil Nerode Conference proceedings 2007 Springer-Verlag Ber

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Extracting the Resolution Algorithm from a Completeness Proof for the Propositional Calculus,to its variables, or a refutation of . showing that it is unsatisfiable. This refutation is a resolution proof of ¬.. From the formalization of our proof in Coq, we extract Robinson’s famous resolution algorithm as a Haskell program correct by construction. The account is an example of the genre of
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Successive Abstractions of Hybrid Automata for Monotonic , Model Checking,approximation or an underapproximation of the set of reachable states. When the analysis of branching time temporal properties is considered, the literature has developed a number of abstractions techniques based on the simulation preorder, that allow the preservation of only true universally quanti
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Explicit Proofs in Formal Provability Logic,we show that the fragment of . which can be realized by generalized proof terms of . is exactly . ∩ . and equals the fragment that can be realized by proof-terms of .. In the final sections of this paper we establish the disjunction property for . and give an axiomatization for . ∩ ..
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A Synthesis Algorithm for Hybrid Systems,for hybrid systems we mean extracting a finite state digital controller automaton from the system equations, constraints, and cost function which define the hybrid system. This automaton senses system state, and on the basis of its state, changes state and issues a chattering control to the actuator
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