Nominal rewriting

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چکیده

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Nominal rewriting

Nominal rewriting is based on the observation that if we add support for alphaequivalence to first-order syntax using the nominal-set approach, then systems with binding, including higher-order features such as lambda-calculus beta-reduction, can be smoothly represented. Nominal rewriting maintains a strict distinction between variables of the objectlanguage (atoms) and of the meta-language (va...

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Closed nominal rewriting and efficiently computable nominal

We analyse the relationship between nominal algebra and nominal rewriting, giving a new and concise presentation of equational deduction in nominal theories. With some new results, we characterise a subclass of equational theories for which nominal rewriting provides a complete and efficient procedure to check nominal algebra equality. This subclass includes specifications of lambda-calculus an...

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Types for Nominal Rewriting?

We define a type inference system for Nominal Rewriting where the types associated to terms are polymorphic (built from a set of base data sorts, type variables, and user-defined type constructors). In contrast with standard term rewriting systems or the λ-calculus, a typing environment for nominal rewriting includes type information for atoms, variables and function symbols. We give a syntax-d...

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Closed nominal rewriting and efficiently computable nominal algebra equality

We analyse the relationship between nominal algebra and nominal rewriting, giving a new and concise presentation of equational deduction in nominal theories. With some new results, we characterise a subclass of equational theories for which nominal rewriting provides a complete procedure to check nominal algebra equality. This subclass includes specifications of lambda-calculus and first-order ...

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Checking Overlaps of Nominal Rewriting Rules

Nominal rewriting generalises first-order rewriting by providing support for the specification of binding operators. In this paper, we give sufficient conditions for (local) confluence of closed nominal rewriting theories, based on the analysis of rule overlaps. More precisely, we show that closed nominal rewriting rules where all proper critical pairs are joinable are locally confluent. We als...

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ژورنال

عنوان ژورنال: Information and Computation

سال: 2007

ISSN: 0890-5401

DOI: 10.1016/j.ic.2006.12.002