Minimizing incomplete automata
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Summary
This work develops a O(m log n)-time and O(k + n + m)-space algorithm for minimizing incomplete deterministic automata, where n is the number of states, m the numberof edges, and k the size of the alphabet.
- Type
- preprint
- Published
- 2008-01-01
- Cited by
- 15
- References
- 24
- OpenAlex
- https://openalex.org/W72057720
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:11798943
Keywords
Automaton, Alphabet, Partition (number theory), Minification, Partition problem
References
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- Describing an algorithm by Hopcroft
- Minimal NFA Problems are Hard
- Three Partition Refinement Algorithms
- Minimisation of Acyclic Deterministic Automata in Linear Time
- Re-describing an algorithm by Hopcroft
- An O(n log n) Implementation of the Standard Method for Minimizing n-State Finite Automata
- Transducers and Repetitions
- Eléments d'algorithmique
- Reducing NFAs by invariant equivalences
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- Induction de requêtes guidée par schéma
- Finite-state Machine Construction Methods and Algorithms for Phonology and Morphology
- Bisimulations over DLTS in O(m.log n)-time
- A graph theoretic approach to automata minimality
- Fast brief practical DFA minimization
- Average complexity of Moore's and Hopcroft's algorithms
- Average Case Analysis of Moore’s State Minimization Algorithm
- Minimization of symbolic automata
- Morphisms and Minimisation of Weighted Automata
- Graph Spectral Properties of Deterministic Finite Automata - (Short Paper)
- Minimization of Automata
- [1] Marie-Pierre Béal, Jean Berstel, Soren Eilers, and Dominique Perrin. Symbolic dynamics. CoRR, abs/1006.1265, 2010.
- Alinhamento de sequências restrito por expressão regular usando padrões PROSITE
- Morphisms and minimization of weighted automata
- Applications of Symbolic Finite Automata
- Two Routes to Automata Minimization and the Ways to Reach It Efficiently