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Internal strategies in a rewriting implementation of tile systems. (English) Zbl 0917.68104
Kirchner, Claude (ed.) et al., International workshop on Rewriting logic and its applications. Abbaye des Prèmontrès at Pont-á-Mousson, France, September 1998. Amsterdam: Elsevier, Electronic Notes in Theoretical Computer Science. 15, electronic paper No. 9 (1998).
Summary: Tile logic extends rewriting logic, taking into account rewriting with side-effects and rewriting synchronization. Since rewriting logic is the semantic basis of several language implementation efforts, it is interesting to map tile logic back into rewriting logic in a conservative way, to obtain executable specifications of tile systems. The resulting implementation requires a meta-layer to control the rewritings, so that only tile proofs are accepted. However, by exploiting the reflective capabilities of the Maude language, such meta-layer can be specified as a kernel of internal strategies. It turns out that the required strategies are very general and can be reformulated in terms of search algorithms for non-confluent systems equipped with a notion of success. We formalize such strategies, giving their detailed description in Maude, and showing their application to modeling uniform tile systems.
For the entire collection see [Zbl 0903.00070].

68Q42 Grammars and rewriting systems
Maude; ELAN
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