Convergence in Infinitary Term Graph Rewriting Systems is Simple (Extended Abstract)

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Convergence in Infinitary Term Graph Rewriting Systems is Simple (Extended Abstract)

Citation for published version (APA): Bahr, P. (2013). Convergence in infinitary term graph rewriting systems is simple (extended abstract). In R. Echahed, & D. Plump (Eds.), Proceedings of the 7th International Workshop on Computing with Terms and Graphs: Rome, 23th March 2013 (pp. 17-28). Open Publishing Association. Electronic Proceedings in Theoretical Computer Science, Vol.. 110, DOI: 10.4...

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Convergence in Infinitary Term Graph Rewriting Systems is Simple

Term graph rewriting provides a formalism for implementing term rewriting in an efficient manner by avoiding duplication. Infinitary term rewriting has been introduced to study infinite term reduction sequences. Such infinite reductions can be used to model non-strict evaluation. In this paper, we unify term graph rewriting and infinitary term rewriting thereby addressing both components of laz...

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Infinitary Term Graph Rewriting is Simple, Sound and Complete

Based on a simple metric and a simple partial order on term graphs, we develop two infinitary calculi of term graph rewriting. We show that, similarly to infinitary term rewriting, the partial order formalisation yields a conservative extension of the metric formalisation of the calculus. By showing that the resulting calculi simulate the corresponding well-established infinitary calculi of ter...

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Infinitary Term Graph Rewriting

Term graph rewriting provides a formalism for implementing term rewriting in an efficient manner by avoiding duplication. Infinitary term rewriting has been introduced to study infinite term reduction sequences. Such infinite reductions can be used to reason about lazy evaluation. In this paper, we combine term graph rewriting and infinitary term rewriting thereby addressing both components of ...

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Böhm Reduction in Infinitary Term Graph Rewriting Systems

The confluence properties of lambda calculus and orthogonal term rewriting do not generalise to the corresponding infinitary calculi. In order to recover the confluence property in a meaningful way, Kennaway et al. [11, 10] introduced Böhm reduction, which extends the ordinary reduction relation so that ‘meaningless terms’ can be contracted to a fresh constant ⊥. In previous work, we have estab...

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ژورنال

عنوان ژورنال: Electronic Proceedings in Theoretical Computer Science

سال: 2013

ISSN: 2075-2180

DOI: 10.4204/eptcs.110.4