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We present an understandable, efficient, and streamlined proof of the Holonomy Decomposition for finite transformation semigroups and automata.
Algebraic Theory of Machines. I. Prime Decomposition Theorem for Finite Semigroups and Machines
Kenneth Krohn and John Rhodes · 1965
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Cascade synthesis of finite state machines
H. Paul Zeiger · 1967
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Algebraic Theory of Automata
Abraham Ginzburg · 1968
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Automata, Languages and Machines
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