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Titlebook: Computer Science Logic; 19th International W Luke Ong Conference proceedings 2005 Springer-Verlag Berlin Heidelberg 2005 Constraint.ai logi

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https://doi.org/10.1007/978-981-10-7173-7leaux systems. In this paper we construct a form of focused derivations for propositional linear logic that is appropriate for forward reasoning in the inverse method. We show that the focused inverse method conservatively generalizes the classical hyperresolution strategy for Horn-theories, and dem
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https://doi.org/10.1007/978-981-10-7173-7f GoI, called Multiobject GoI (MGoI) for multiplicative linear logic without units in categories which include previous (untyped) GoI models, as well as models not possible in the original untyped version. The development of MGoI depends on a new theory of partial traces and trace classes, as well a
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Past Experience in Flexibility,al problems. Although they are intractable in general, a rich line of research has identified restricted cases of these problems that are tractable in polynomial time. Remarkably, many tractable cases of the CSP that have been identified are solvable by a single algorithm, which we call here the con
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Must We Jettison the Commonwealth?, denoted by ...Within . we construct an interpretation of addition and multiplication on indices of prime numbers. Consequently, the first order theory of . is Π.–complete (in contrast to the decidability of the theory of multiplication in the standard model). This result strengthens an analogous th
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https://doi.org/10.1007/978-981-10-7173-7We prove a strong normalization theorem for abstract term rewriting systems based on domain-theoretic models. The theorem applies to extensions of Gödel’s system . by various forms of recursion related to bar recursion for which strong normalization was hitherto unknown.
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https://doi.org/10.1007/978-981-10-7173-7We provide a game-theoretic characterisation of higher-order matching. The idea is suggested by model checking games. We then show that some known decidable instances of matching can be uniformly proved decidable via the game-theoretic characterisation.
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Note on Formal Analogical Reasoning in the Juridical ContextThis note describes a formal rule for analogical reasoning in the legal context. The rule derives first order sentences from partial decision descriptions. The construction follows the principle, that the acceptance of an incomplete argument induces the acceptance of the logically weakest assumptions, which complete it.
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