Newton's deterministic machine was replaced by a shadowy and paradoxical conjunction of waves and particles, governed by the laws of chance, rather than the rigid rules of causality.
2.
We can relate to deterministic space using Savitch's theorem, which tells us that any nondeterministic algorithm can be simulated by a deterministic machine in at most quadratically more space.
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So, L'is in NP . By the assumption P = NP, there is also a deterministic machine " DM " that decides L'in polynomial time.
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Map all possible states of the deterministic log-space machine to vertices of a graph, and put an edge between u and v if the state v can be reached from u within one step of the non-deterministic machine.
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He argues that a deterministic machine must be regarded as conscious if it is able to produce judgments on all problematic properties of consciousness ( such as qualia or binding ) having no innate ( preloaded ) philosophical knowledge on these issues, no philosophical discussions while learning, and no informational models of other creatures in its memory ( such models may implicitly or explicitly contain knowledge about these creatures consciousness ).
6.
P is the smallest time-complexity class on a deterministic machine which is robust in terms of machine model changes . ( For example, a change from a single-tape Turing machine to a multi-tape machine can lead to a quadratic speedup, but any algorithm that runs in polynomial time under one model also does so on the other . ) Any given abstract machine will have a complexity class corresponding to the problems which can be solved in polynomial time on that machine.
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