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The following discussion is based on Michael Sipser's textbook Introduction to the Theory of Computation. [2] In more detail, the idea is that the string along the top and bottom will be a computation history of the Turing machine's computation. This means it will list a string describing the initial state, followed by a string describing the ...
The theory of computation can be considered the creation of models of all kinds in the field of computer science. Therefore, mathematics and logic are used. In the last century, it separated from mathematics and became an independent academic discipline with its own conferences such as FOCS in 1960 and STOC in 1969, and its own awards such as the IMU Abacus Medal (established in 1981 as the ...
In theoretical computer science, the theory of computation is the branch that deals with whether and how efficiently problems can be solved on a model of computation, using an algorithm. The field is divided into three major branches: automata theory , computability theory and computational complexity theory .
Download as PDF; Printable version; In other projects Wikimedia Commons; Wikidata item; Appearance. move to sidebar hide. Help ... Theory of computation (8 C, 92 P)
A finite-state automaton from automata theory, a branch of theoretical computer science.. Theoretical computer science is a subfield of computer science and mathematics that focuses on the abstract and mathematical foundations of computation.
In computer science, and more specifically in computability theory and computational complexity theory, a model of computation is a model which describes how an output of a mathematical function is computed given an input. A model describes how units of computations, memories, and communications are organized. [1]
Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees. The field has since expanded to include the study of generalized computability and definability.
While Cobham's thesis is an important milestone in the development of the theory of computational complexity, it has limitations as applied to practical feasibility of algorithms. The thesis essentially states that " P " means "easy, fast, and practical", while "not in P " means "hard, slow, and impractical".