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A model of parallel computation based on a generalization of nondeterminism in Turing machines is introduced. Complexity classes //T(n)-TIME, //L(n)-SPACE, //LOGSPACE, //PTIME, etc. are defined for these machines in a way analogous to T(n)-TIME, L(n)-SPACE, LOGSPACE, PTIME, etc. for deterministic machines. It is shown that, given appropriate honesty conditions, L(n)-SPACE ⊆ //L(n)2-TIME T(n)-TIME...
The aim of this paper is not the establishment of new results, but the understanding, from a machine theoretic point of view, of results originally arrived at by algebraic means. A new criterion for series parallel irreducibility is given which makes no reference to underlying semigroups but involves only series parallel operations. Also, the irreducibility of prime counter machines is established...
The problem of decomposing a finite automaton has been investigated by many authors [7,8,9,16]. However, their results were based on the question of decomposing an automaton into series and parallel connections of automata. The present work is an extension to the problem of generalized decomposition where two-way interconnections between automata are permitted. Our decomposition does not presuppose...
This paper summarizes some rather extensive research on the problem of constructing logic nets out of elements whose timing causes trouble either in their slowness or in their lack of precision. The problem is made precise by setting up a theory of logic nets that is abstract but realistic. Its abstractness consists in its lack of similarity to any particular hardware, and in its strictly mathematical...
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