We present a minimization algorithm for finite state automata that finds and merges bisimulation-equivalent states, identified through partition aggregation. We show the algorithm to be correct and run in time O(n 2 d 2 |Σ|), where n is the number of states of the input automaton M, d is the maximal outdegree in the transition graph for any combination of state and input symbol, and |Σ| is the size of the input alphabet. The algorithm is slower than those based on partition refinement, but has the advantage that intermediate solutions are also language equivalent to M. As a result, the algorithm can be interrupted or put on hold as needed, and the derived automaton is still useful. Furthermore, the algorithm essentially searches for the maximal model of a characteristic formula for M, so many of the optimisation techniques used to gain efficiency in SAT solvers are likely to apply.
|Title of host publication||Language and Automata Theory and Applications|
|Subtitle of host publication||11th International Conference, LATA 2017, Umeå, Sweden, March 6-9, 2017, Proceedings|
|Editors||Frank Drewes, Carlos Martín-Vide, Bianca Truthe|
|Place of Publication||Dordrecht|
|Number of pages||13|
|Publication status||Published - 2017|
|Name||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)|