Examples of using Model of computation in English and their translations into Serbian
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MacLennan[1] considers continuous spatial automata as a model of computation.
Thus if this new model of computation consisted of a sequence M 1, M 2,….
A quantum Turing machine can efficiently simulate any realistic model of computation.".
Any definition, however,must make reference to some specific model of computation but all valid definitions yield the same class of functions.
It states:"A probabilistic Turing machine can efficiently simulate any realistic model of computation.".
Lambda calculus is a conceptually simple universal model of computation(Turing showed in 1937[1] that Turing machines equated the lambda calculus in expressiveness).
Consequently, the quantum complexity-theoretic Church-Turing thesis states:"A quantum Turing machine can efficiently simulate any realistic model of computation.".
They are used to discuss computability without referring to any concrete model of computation such as Turing machines or register machines.
Given a model of computation and an algorithm A that halts on each input x, the mapping tA:{0, 1}*→N is called the time complexity of A if, for every x, A halts after exactly tA(x) steps.
The second question asks, in essence,whether there is another reasonable model of computation which computes only total functions and computes all the total computable functions.
Exact(not asymptotic) measures of efficiency can sometimes be computed but they usually require certain assumptions concerning the particular implementation of the algorithm,called model of computation.
Another reason for turning to C++, which Stepanov recognized early on,was the C/C++ model of computation which allows very flexible access to storage via pointers is crucial to achieving generality without losing efficiency.
This can be shown by describing the relationship between the input and output of a program, or an explanation of how the program will execute on a certain platform,hence creating a model of computation.
The model of computation that Turing called his"universal machine"-"U" for short-is considered by some(cf. Davis(2000)) to have been the fundamental theoretical breakthrough that led to the notion of the stored-program computer.
An example of this is binary search, an algorithm that can be shown to perform more quickly when using the RASP model of computation rather than the Turing machine model. .
The model of computation: The most common model of computation is the deterministic Turing machine, but many complexity classes are based on non-deterministic Turing machines, Boolean circuits, quantum Turing machines, monotone circuits, etc.
Computer scientists study the Turing machine because it is simple to formulate, can be analyzed and used to prove results, andbecause it represents what many consider the most powerful possible“reasonable” model of computation.
Thus if this new model of computation consisted of a sequence M 1, M 2,…{\displaystyle M_{1}, M_{2},\ldots} of machines, there would be a recursively enumerable sequence T 1,… T 2,…{\displaystyle T_{1},\ldots T_{2},\ldots} of Turing machines that compute total functions and so that every total computable function is computable by one of the machines Ti.
Different models of computation have the ability to do different tasks.
The class of computable functions can be defined in many equivalent models of computation, including.
The class of computable functions can be defined in many equivalent models of computation, including Turing machines μ-recursive functions Lambda calculus Post machines(Post-Turing machines and tag machines).
Many equivalent models of computation are known, and they all give the same definition of computable function(or a weaker version, in some instances).
As with the concept of a computable function relative computability can be given equivalent definitions in many different models of computation.
Just as software engineering(as a process) is defined by differing methodologies,so the programming languages(as models of computation) are defined by differing paradigms.
The following facts are often taken as evidence for the thesis:Many equivalent models of computation are known, and they all give the same definition of computable function(or a weaker version, in some instances).