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By Trinder P.

ISBN-10: 0902928619

ISBN-13: 9780902928619

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The power set of the states of a finite machine (see page 20) is also finite. So, a non-deterministic finite machine is still a finite machine, just on a larger state space. However, a finite machine viewed as a nondeterministic machine may be easier to design or modify than if viewed as deterministic. The non-deterministic machine has a special structure, admitting direct parallel implementation. For Turing machines (see page 26), the machine state is the state and location of the cpu together with the state of the tape.

Given a collection of (observable) states in which the machine might be, the set of states it might be in next is the union of the sets for each of the states in the collection. Thus, a non-deterministic machine is a special case of a deterministic machine on the power set of the states of the original machine. The final value returned by the nondeterministic machine is the value returned by the first deterministic machine to terminate. Of course, in general, this is a collection of values. The power set of the states of a finite machine (see page 20) is also finite.

The memory belt is implemented by the indefinite memory and disk resources. Many limitations proved for finite state-machines cannot be applied directly to the desktop machine because there is no hard limit to the resources (memory and time) available. It may be expanded indefinitely subject to vague economic and physical constraints. 46 Theoretical Introduction to Programming Notion 21: Aspects of Virtual Machines Digital machine: a physical limit of discrete technology. Although there are other things that may be said to compute, the basic idea of the modern digital computer can be nicely abstracted by saying that it is a state machine, whose states are countably many (may be numbered by the integers) and so are the transitions.

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A functional database by Trinder P.

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