Introduction to the Rewriting Calculus

Horatiu Cirstea 1 Claude Kirchner 1
1 PROTHEO - Constraints, automatic deduction and software properties proofs
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : The $\rho$-calculus is a new calculus that integrates in a uniform and simple setting first-order rewriting, $\lambda$-calculus and non-deterministic computations. This paper describes the calculus from its syntax to its basic properties in the untyped case. We show how it embeds first-order conditional rewriting and $\lambda$-calculus. Finally we use the $\rho$-calcul- us to give an operational semantics to the rewrite based language ELAN.
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Submitted on : Wednesday, May 24, 2006 - 11:04:38 AM
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Horatiu Cirstea, Claude Kirchner. Introduction to the Rewriting Calculus. [Research Report] RR-3818, INRIA. 1999, pp.50. 〈inria-00072840〉

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