Derrick G. Kourie, Bruce W. Watson, Loek Cleophas and Fritz Venter

**Failure Deterministic Finite Automata**

Abstract: |

Inspired by failure functions found in classical pattern matching algorithms, a failure deterministic finite automaton (FDFA) is defined as a formalism to recognise a regular language. An algorithm, based on formal concept analysis, is proposed for deriving from a given deterministic finite automaton (DFA) a language-equivalent FDFA. The FDFA's transition diagram has fewer arcs than that of the DFA. A small modification to the classical DFA's algorithm for recognising language elements yields a corresponding algorithm for an FDFA. |

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