Computer Science – Formal Languages and Automata Theory
Scientific paper
2009-07-29
EPTCS 3, 2009, pp. 47-57
Computer Science
Formal Languages and Automata Theory
Scientific paper
10.4204/EPTCS.3.4
The minimal deterministic finite automaton is generally used to determine regular languages equality. Antimirov and Mosses proposed a rewrite system for deciding regular expressions equivalence of which Almeida et al. presented an improved variant. Hopcroft and Karp proposed an almost linear algorithm for testing the equivalence of two deterministic finite automata that avoids minimisation. In this paper we improve the best-case running time, present an extension of this algorithm to non-deterministic finite automata, and establish a relationship between this algorithm and the one proposed in Almeida et al. We also present some experimental comparative results. All these algorithms are closely related with the recent coalgebraic approach to automata proposed by Rutten.
Almeida Marco
Moreira Nelma
Reis Ribamar R. R.
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