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Titlebook: Computer Science Logic; 10th International W Dirk Dalen,Marc Bezem Conference proceedings 1997 Springer-Verlag Berlin Heidelberg 1997 Compu

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Extending models of second order predicate logic to models of second order dependent type theory,om the construction being of interest by itself, this also suggests a way of proving the . from second order predicate logic to second order dependent type theory. Under this embedding, formulas are interpreted as types, and derivability (of a formaula) in the logic should correspond to . (i.e. the
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Computational aspects of arity hierarchies,. respectively. We investigate hierarchies within these logics which emerge from imposing boundaries on the arities of second order variables. The computational relevance of this genuinely logical concept is under study. As for ., arity levels can be closely related to degree levels of .. In the cas
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Weak semantics based on lighted button pressing experiments,H86] by means of black-box testing experiments, or more precisely by lighted button testing experiments [BM92]. As divergence is considered we give the semantics as a preorder, the readiness preorder, which kernel coincides with the readiness equivalence of [OH86]. This leads to a bisimulation like
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Kleene algebra with tests: Completeness and decidability,y analysis, source-to-source program transformation, and concurrency control. We prove the completeness of the equational theory of Kleene algebra with tests and-continuous Kleene algebra with tests over language-theoretic and relational models. We also show decidability. Cohen‘s reduction of Kleene
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Coercive subtyping in type theory,[Luo94]. In this approach, subtyping with specified implicit coercions is treated as a feature at the level of the logical framework; in particular, subsumption and coercion are combined in such a way that the meaning of an object being in a supertype is given by . for the definitional equality. It
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Proofs in system ,, can be done in system ,,,uctors is associated to each term of the system whose unification gives the possible typings. We define a syntactic restriction on constructors which is enough to capture all the typability problems: the elementary calculus. We use these principal typed terms to prove that the higher order typings h
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