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Classes of automata. (Clicking on each layer gets an article on that subject) A Turing machine is a mathematical model of computation describing an abstract machine [ 1 ] that manipulates symbols on a strip of tape according to a table of rules. [ 2 ] Despite the model's simplicity, it is capable of implementing any computer algorithm.
Turing used seven symbols { A, C, D, R, L, N, ; } to encode each 5-tuple; as described in the article Turing machine, his 5-tuples are only of types N1, N2, and N3. The number of each "m ‑configuration" (instruction, state) is represented by "D" followed by a unary string of A's, e.g. "q3" = DAAA. In a similar manner, he encodes the symbols ...
A deterministic finite automaton M is a 5- tuple, (Q, Σ, δ, q0, F), consisting of. a finite set of states Q. a finite set of input symbols called the alphabet Σ. a transition function δ: Q × Σ → Q. an initial or start state q 0 ∈ Q {\displaystyle q_ {0}\in Q} a set of accept states F ⊆ Q {\displaystyle F\subseteq Q}
Tuple. In mathematics, a tuple is a finite sequence or ordered list of numbers or, more generally, mathematical objects, which are called the elements of the tuple. An n-tuple is a tuple of n elements, where n is a non-negative integer. There is only one 0-tuple, called the empty tuple. A 1-tuple and a 2-tuple are commonly called a singleton ...
A Post–Turing machine[1] is a "program formulation" of a type of Turing machine, comprising a variant of Emil Post 's Turing-equivalent model of computation. Post's model and Turing's model, though very similar to one another, were developed independently. Turing's paper was received for publication in May 1936, followed by Post's in October.
A finite-state transducer (FST) is a finite-state machine with two memory tapes, following the terminology for Turing machines: an input tape and an output tape. This contrasts with an ordinary finite-state automaton, which has a single tape. An FST is a type of finite-state automaton (FSA) that maps between two sets of symbols. [1]
A record is similar to a mathematical tuple, although a tuple may or may not be considered a record, and vice versa, depending on conventions and the programming language. In the same vein, a record type can be viewed as the computer language analog of the Cartesian product of two or more mathematical sets , or the implementation of an abstract ...
Transition system. In theoretical computer science, a transition system is a concept used in the study of computation. It is used to describe the potential behavior of discrete systems. It consists of states and transitions between states, which may be labeled with labels chosen from a set; the same label may appear on more than one transition.