EnglishWe present a categorical formulation of the rewriting of possibly cyclic term graphs, based on a variation of algebraic 2-theories. We show that this presentation is equivalent to the well-accepted operational definition proposed by Barendregt et al. - but for the case of circular redexes, for which we propose (and justify formally) a different treatment. The categorical framework allows us to model in a concise way also automatic garbage collection and rules for sharing/unsharing and folding/unfolding of structures, and to relate term graph rewriting to other rewriting formalisms.
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http://hdl.handle.net/11568/191114| Autori interni: | CORRADINI, ANDREA GADDUCCI, FABIO |
| Autori: | CORRADINI A; GADDUCCI F |
| Titolo: | Rewriting on cyclic structures: Equivalence between the operational and the categorical description |
| Anno del prodotto: | 1999 |
| Digital Object Identifier (DOI): | 10.1051/ita:1999128 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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