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# Introduction to the Rewriting Calculus

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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Document type :
Reports (Research report)
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https://hal.inria.fr/inria-00072840
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Submitted on : Wednesday, May 24, 2006 - 11:04:38 AM
Last modification on : Wednesday, October 26, 2022 - 8:16:29 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:24:45 PM

### Identifiers

• HAL Id : inria-00072840, version 1

### Citation

Horatiu Cirstea, Claude Kirchner. Introduction to the Rewriting Calculus. [Research Report] RR-3818, INRIA. 1999, pp.50. ⟨inria-00072840⟩

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