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» Minimizing Deterministic Lattice Automata
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92
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WIA
2004
Springer
15 years 5 months ago
On the Complexity of Hopcroft's State Minimization Algorithm
Abstract. Hopcroft’s algorithm for minimizing a deterministic automaton has complexity O(n log n). We show that this complexity bound is tight. More precisely, we provide a famil...
Jean Berstel, Olivier Carton
91
Voted
IMSCCS
2006
IEEE
15 years 5 months ago
Explicitly Parallel Regular Expressions
The equivalence of non-deterministic finite automata (NFA1 ), deterministic finite automata (DFA), regular expressions (RE), and parallel finite automata (PFA) with augmented r...
Brett D. Estrade, A. Louise Perkins, John M. Harri...
127
Voted
FOSSACS
2012
Springer
13 years 7 months ago
A Coalgebraic Perspective on Minimization and Determinization
Coalgebra offers a unified theory of state based systems, including infinite streams, labelled transition systems and deterministic automata. In this paper, we use the coalgebrai...
Jirí Adámek, Filippo Bonchi, Mathias...
98
Voted
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
13 years 2 months ago
Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...
Daniel Dadush, Santosh Vempala
82
Voted
IPPS
1996
IEEE
15 years 3 months ago
A Parallel Algorithm for Minimization of Finite Automata
In this paper, we present a parallel algorithm for the minimization of deterministic finite state automata (DFA's) and discuss its implementation on a connection machine CM-5...
Bala Ravikumar, X. Xiong