Abstract | ||
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We establish linear-time reductions between the minimization of a deterministic finite automaton (DFA) and the conjunction of 3 subproblems: the minimization of a strongly connected DFA, the isomorphism problem for a set of strongly connected minimized DFAs, and the minimization of a connected DFA consisting in two strongly connected components, both of which are minimized. We apply this procedure to minimize, in linear time, automata whose nontrivial strongly connected components are cycles. |
Year | DOI | Venue |
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2008 | 10.1016/j.ipl.2008.01.003 | Inf. Process. Lett. |
Keywords | Field | DocType |
minimization,linear-time reduction,formal languages.,connected dfa,linear time,algorithms,. finite automaton,isomorphism problem,deterministic finite automaton,strongly connected component,bottom up,formal language,finite automaton,formal languages | Discrete mathematics,Combinatorics,Deterministic automaton,Deterministic finite automaton,Algorithm,Finite-state machine,Minification,Isomorphism,DFA minimization,Time complexity,Strongly connected component,Mathematics | Journal |
Volume | Issue | ISSN |
107 | 2 | 0020-0190 |
Citations | PageRank | References |
8 | 0.69 | 10 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
J. Almeida | 1 | 61 | 15.24 |
Marc Zeitoun | 2 | 288 | 24.51 |