Discrete Mathematics & Theoretical Computer Science, Vol 5 (2002)

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DMTCS vol 5 no 1 (2002), pp. 227-262

Discrete Mathematics & Theoretical Computer Science

DMTCS

Volume 5 n° 1 (2002), pp. 227-262


author:Frédéric Saubion and Igor Stéphan
title:A Unified Framework to Compute over Tree Synchronized Grammars and Primal Grammars
keywords:Tree Grammars ; Proof Systems ; Prolog Implementation
abstract:Tree languages are powerful tools for the representation and schematization of infinite sets of terms for various purposes (unification theory, verification and specification ...). In order to extend the regular tree language framework, more complex formalisms have been developed. In this paper, we focus on Tree Synchronized Grammars and Primal Grammars which introduce specific control structures to represent non regular sets of terms. We propose a common unified framework in order to achieve the membership test for these particular languages. Thanks to a proof system, we provide a full operational framework, that allows us to transform tree grammars into Prolog programs (as it already exists for word grammars with DCG) whose goal is to recognize terms of the corresponding language.

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reference: Frédéric Saubion and Igor Stéphan (2002), A Unified Framework to Compute over Tree Synchronized Grammars and Primal Grammars, Discrete Mathematics and Theoretical Computer Science 5, pp. 227-262
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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