By Nataša Jonoska (auth.), Michael Domaratzki, Kai Salomaa (eds.)
This publication constitutes the completely refereed papers of the fifteenth overseas convention on Implementation and alertness of Automata, CIAA 2010, held in Manitoba, Winnipeg, Canada, in August 2010.
The 26 revised complete papers including 6 brief papers have been conscientiously chosen from fifty two submissions. The papers hide numerous issues equivalent to functions of automata in computer-aided verification; normal language processing; development matching, facts garage and retrieval; bioinformatics; algebra; graph thought; and foundational paintings on automata theory.
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Extra info for Implementation and Application of Automata: 15th International Conference, CIAA 2010, Winnipeg, MB, Canada, August 12-15, 2010. Revised Selected Papers
2110–2113 (2008) Incremental DFA Minimisation Marco Almeida , Nelma Moreira, and Rog´erio Reis DCC-FC & LIACC, Universidade do Porto R. pt Abstract. We present a new incremental algorithm for minimising deterministic ﬁnite automata. It runs in quadratic time for any practical application and may be halted at any point, returning a partially minimised automaton. Hence, the algorithm may be applied to a given automaton at the same time as it is processing a string for acceptance. We also include some experimental comparative results.
For further details we refer the reader to the work of Hopcroft et al. [HMU00]. This work was partially funded by Funda¸ca ˜o para a Ciˆencia e Tecnologia (FCT) and Program POSI, project ASA (PTDC/MAT/65481/2006) through Programs COMPETE and FEDER, and project CANTE (PTDC/EIA-CCO/101904/2008). Marco Almeida is funded by FCT grant SFRH/BD/27726/2006. M. Domaratzki and K. ): CIAA 2010, LNCS 6482, pp. 39–48, 2011. c Springer-Verlag Berlin Heidelberg 2011 40 M. Almeida, N. Moreira, and R. Reis An alphabet Σ is a nonempty set of symbols.
Later, Watson and Daciuk [WD03] proposed a new version of the algorithm. By using a memoization technique they achieved an almost quadratic run-time. Recently, however, a bug was found on the algorithm and one of the authors is currently trying to ﬁx it. 4 The Incremental Minimisation Algorithm Given an arbitrary DFA D as input, this algorithm may be halted at any time returning a partially minimised DFA that has no more states than D and recognises the same language. It uses a disjoint-set data structure to represent the DFA’s states and the UNION-FIND algorithm to keep and update the equivalence classes.