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Krohn–Rhodes theory

Known as: Finite semigroup, Krohn-Rhodes complexity, Krohn-Rhodes Theory 
In mathematics and computer science, the Krohn–Rhodes theory (or algebraic automata theory) is an approach to the study of finite semigroups and… (More)
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1967-2017
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1936-2018
19401960198020002020
Krohn–Rhodes theory
Algorithm
Computer science
Artificial intelligence
Automata theory
Game theory

Papers overview

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2012
2012
The Krohn-Rhodes Theorem and Local Divisors
We give a new proof of the Krohn-Rhodes theorem using local divisors. The proof provides nearly as good a decomposition in terms… (More)
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2010
2010
On the Krohn-Rhodes Cascaded Decomposition Theorem
The Krohn-Rhodes theorem states that any deterministic automaton is a homomorphic image of a cascade of very simple automata… (More)
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2007
2007
On the Krohn-rhodes Complexity of Semigroups of Upper Triangular Matrices
We consider the Krohn-Rhodes complexity of certain semigroups of upper triangular matrices over finite fields. We show that for… (More)
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2007
2007
On the Irreducible Representations of a Finite Semigroup
Work of Clifford, Munn and Ponizovskĭı parameterized the irreducible representations of a finite semigroup in terms of the… (More)
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2005
2005
Krohn-Rhodes complexity pseudovarieties are not finitely based
We prove that the pseudovariety of monoids of Krohn-Rhodes complexity at most n is not finitely based for all n > 0. More… (More)
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2004
2004
Algebraic Hierarchical Decomposition of Finite State Automata: Comparison of Implementations for Krohn-Rhodes Theory
The hierarchical algebraic decomposition of finite state automata (Krohn-Rhodes Theory) has been a mathematical theory without… (More)
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2004
2004
Dichotomies in the Complexity of Solving Systems of Equations over Finite Semigroups
We consider the problem of testing whether a given system of equations over a fixed finite semigroup S has a solution. For the… (More)
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1997
1997
Finite Semigroup Varieties Defined by Programs
We study the regular languages recognized by polynomial-length programs over finite semigroups belonging to product varieties V… (More)
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1996
1996
Krohn-Rhodes theory, hierarchies & evolution
 
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1991
1991
Semigroups with Idempotent stabilizers and Applications to Automata Theory
We show that every finite semigroup is a quotient of a finite semigroup in which every right stabilizer satisfies the identities… (More)
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