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» Minimizing Deterministic Lattice Automata
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WIA
2004
Springer
14 years 1 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
IMSCCS
2006
IEEE
14 years 2 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...
FOSSACS
2012
Springer
12 years 4 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...
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 11 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
IPPS
1996
IEEE
14 years 22 days 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