A fast algorithm to decide on simple grammars equivalence

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Abstract

We present an algorithm to decide on simple grammars equivalence. Its complexity in time and space is polynomial in the valuation and the length of the description of the compared grammars, and exponential if we only take the last parameter into account. From this algorithm, we deduce an optimal upper bound of the number of parallel derivations to be applied to decide on equivalence.

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Caucal, D. (1989). A fast algorithm to decide on simple grammars equivalence. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 401 LNCS, pp. 66–85). Springer Verlag. https://doi.org/10.1007/3-540-51859-2_8

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