Title
Testing The Equivalence Of Regular Languages
Abstract
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 automaton, 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.
Year
DOI
Venue
2009
10.4204/EPTCS.3.4
ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE
Keywords
Field
DocType
finite automata,regular expression,regular language,non deterministic finite automata,formal language,automata theory,deterministic finite automata,deterministic finite automaton
Discrete mathematics,Quantum finite automata,Two-way deterministic finite automaton,Deterministic automaton,Nondeterministic finite automaton,Deterministic finite automaton,DFA minimization,Mathematics,Probabilistic automaton,Büchi automaton
Journal
Volume
Issue
ISSN
3
3
2075-2180
Citations 
PageRank 
References 
2
0.37
8
Authors
3
Name
Order
Citations
PageRank
Marco Almeida1313.99
Nelma Moreira218033.98
Rogério Reis314025.74