g encodes information for machine M1 and produces corresponding information for machine M2; h is the inverse function. Machine M2 is said to simulate machine M1 if it is possible to specify a translation algorithm such that, when given a program P1 for M1, it produces a corresponding program P2 for M2; further, the effect of P1 on M1 should be equivalent to the effect of
applying function g
then executing P2 on M2
then applying function h.
In symbols, P1 = h P2 g
An equally useful formulation has functions g : M1 → M2, h : M1 → M2
and the simulation criterion h P1 = P2 g
Machine simulation of this kind is generally discussed for idealized abstract machines, such as Turing machines, and for formal models of microprocessors. It provides a useful approach to defining the correctness of implementations. See also machine equivalence.
"machine simulation." A Dictionary of Computing. . Encyclopedia.com. (December 10, 2018). https://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/machine-simulation
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