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/10.1007/978-981-10-7173-7ments in (different) XML documents), XSLT (for transforming XML documents) and XQuery (for, indeed, querying XML documents). Navigation in an XML document tree is the task of moving from a given node to another node by following a path specified by a certain formula. Hence formulas in navigation lan

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https://doi.org/10.1007/978-981-10-7173-7nd quotients) iff it can be presented by a subset of a cofree coalgebra. We introduce inference rules for these subsets, and prove that they are sound and complete. For example, given a polynomial endofunctor of a signature Σ, the cofree coalgebra consists of colored Σ-trees, and we prove that a set

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https://doi.org/10.1007/978-981-10-7173-7r with a least element making the context operators monotone. The first natural candidate is the prefix relation: a prefix of a term is obtained by replacing some subterms by .. We prove that six models induced by the infinitary lambda calculus (which includes Böhm and Lévy-Longo trees) are orderabl

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https://doi.org/10.1007/978-981-10-7173-7peed-ups are achieved by compiling proof terms, see [9]. Since compilation erases some type information, we have to show that convertibility is preserved by type erasure. This article shows the equivalence of the Calculus of Inductive Constructions (formalism of Coq) and its domain-free version wher