Titlebook: Mathematics of Program Construction; 9th International Co Philippe Audebaud,Christine Paulin-Mohring Conference proceedings 2008 Springer-V

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Modal Semirings Revisited,essor, and it is particularly suitable for program analysis and construction via automated deduction. Different algebras of domain elements for distributive lattices, (co-)Heyting algebras and Boolean algebras arise by adapting this axiomatisation. Modal operators over all these domain algebras can

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Exploiting Unique Fixed Points,hat the sequence defined swallows its own tail. However, if this care is exercised, the equation even possesses a unique solution, a fact that is not very widely appreciated. Uniqueness can be exploited to prove that two streams are equal: if they satisfy the same recursion equation, then they are!

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,The Böhm–Jacopini Theorem Is False, Propositionally,nal level in terms of automata on guarded strings, the automata-theoretic counterpart to Kleene algebra with tests. Whereas the classical approaches do not distinguish between first-order and propositional levels of abstraction, we find that the purely propositional formulation allows a more streaml

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Nested Datatypes with Generalized Mendler Iteration: Map Fusion and the Example of the Representatiyle iteration of rank 2, which is one of those schemes, and justified it in the Calculus of Inductive Constructions through an implementation in the theorem prover Coq..The new contribution is an extension of this work to generalized Mendler iteration (introduced in Abel et al, cited above), leading

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Yann Régis-Gianas,François Pottierntext of models in theoretical physics may turn out to have introduced in important geometric or topological applications. Perhaps its emergence can be traced b978-3-0348-9818-8978-3-0348-8895-0Series ISSN 1421-1750 Series E-ISSN 2374-0280

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Jules Desharnais,Georg Struthuction into the subject while some others form an advanced textbook. The intended audience is graduate and PhD students and researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems..978-3-7643-7397-9Series ISSN 0373-3149 Series E-ISSN 2296-6072

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