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Parallel Computation Thesis: Computational Complexity Theory, Hypothesis, Computational Model - Brossura

 
9786133095892: Parallel Computation Thesis: Computational Complexity Theory, Hypothesis, Computational Model

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In computational complexity theory, the parallel computation thesis is a hypothesis which states that the time used by a (reasonable) parallel machine is polynomially related to the space used by a sequential machine. The parallel computation thesis was set forth by Chandra and Stockmeyer in 1976 (see References).In other words, for a computational model which allows computations to branch and run in parallel without bound, a formal language which is decidable under the model using no more than t(n) steps for inputs of length n is decidable by a machine in the unbranching model using no more than t(n)k units of storage for some constant k. Similarly, if a machine in the unbranching model decides a language using no more than s(n) storage, a machine in the parallel model can decide the language in no more than s(n)k steps for some constant k.

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