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- W2000562633 abstract "This continues the study on generalized mutiple decomposition allowing 2-way interconnection [1]. Let NeZ+.An automaton M e D, T,F> is an N-automaton iff the set of states D ≤ πSi and each Si e πi (D) where πi is the projection map onto the ith component. Since the states in an N-automation are N-tuples, we may interpret M as consisting of N component automata Ml,..MN, where Mi e i, πSj,fi> for each i.If (sl,..sN,t)e D(F),then fi (si,(πsi,t))e πi(F((sl,..SN),t). We call an N-automation M e D,T,F> a generalized N-decomposition (GND) of M e if M realizes M. Any GND of M induces a set of N *-covers on S. A sufficient condition for a set of *-covers to give rise to a GND is established. The Properties of a GND can be represented by a matrix of relations. The diagonal entries are induced by the components and the off-diagonal entries represent the interconnections.The conditions which give rise to zero connection lines are then determined." @default.
- W2000562633 created "2016-06-24" @default.
- W2000562633 creator A5076374073 @default.
- W2000562633 date "1973-01-01" @default.
- W2000562633 modified "2023-09-25" @default.
- W2000562633 title "N-decomposition and decomposition matrix for automata" @default.
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- W2000562633 doi "https://doi.org/10.1145/800192.805786" @default.
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