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Titlebook: Rewriting, Computation and Proof; Essays Dedicated to Hubert Comon-Lundh,Claude Kirchner,Hélène Kirchner Book 2007 Springer-Verlag Berlin

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Narrowing, Abstraction and Constraints for Proving Properties of Reduction Relationsd by narrowing and an abstraction mechanism. While narrowing simulates reduction, abstraction relies on the induction principle to replace subterms by variables representing specific reduced forms that trivially satisfy the property to be proved. The induction ordering is not given a priori, but def
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Superdeduction at Workw how this could be done in a systematic, correct and complete way. We prove in detail the strong normalisation of a proof term language that models appropriately superdeduction. We finaly examplify on several examples, including equality and noetherian induction, the usefulness of this approach whi
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Linear Recursive Functionsnd erase data is essential in order to obtain a Turing-complete computation model. However, erasing and copying don’t need to be explicitly included in Turing-complete computation models: in this paper we show that the class of partial recursive functions that are syntactically linear (that is, part
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Deducibility Constraints, Equational Theory and Electronic Moneyre or that there is an attack. Modeling the protocol requires algebraic properties of a fragment of arithmetic, typically containing modular exponentiation. The usual equational theories described in papers on security protocols are too weak: the protocol cannot even be executed in these models. We
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