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  2. Two-way finite automaton - Wikipedia

    en.wikipedia.org/wiki/Two-way_finite_automaton

    Two-way and one-way finite automata, deterministic and nondeterministic and alternating, accept the same class of regular languages. However, transforming an automaton of one type to an equivalent automaton of another type incurs a blow-up in the number of states.

  3. Automata theory - Wikipedia

    en.wikipedia.org/wiki/Automata_theory

    Two-wayness: Automata may read their input from left to right, or they may be allowed to move back-and-forth on the input, in a way similar to a Turing machine. Automata which can move back-and-forth on the input are called two-way finite automata. Acceptance condition. Acceptance of finite words: Same as described in the informal definition above.

  4. Unrestricted grammar - Wikipedia

    en.wikipedia.org/wiki/Unrestricted_grammar

    In automata theory, the class of unrestricted grammars (also called semi-Thue, type-0 or phrase structure grammars) is the most general class of grammars in the Chomsky hierarchy. No restrictions are made on the productions of an unrestricted grammar, other than each of their left-hand sides being non-empty.

  5. Powerset construction - Wikipedia

    en.wikipedia.org/wiki/Powerset_construction

    In the theory of computation and automata theory, the powerset construction or subset construction is a standard method for converting a nondeterministic finite automaton (NFA) into a deterministic finite automaton (DFA) which recognizes the same formal language. It is important in theory because it establishes that NFAs, despite their ...

  6. Nondeterministic finite automaton - Wikipedia

    en.wikipedia.org/wiki/Nondeterministic_finite...

    Union (cf. picture); that is, if the language L 1 is accepted by some NFA A 1 and L 2 by some A 2, then an NFA A u can be constructed that accepts the language L 1 ∪L 2. Intersection; similarly, from A 1 and A 2 an NFA A i can be constructed that accepts L 1 ∩L 2. Concatenation; Negation; similarly, from A 1 an NFA A n can be constructed ...

  7. Taylor Booth (mathematician) - Wikipedia

    en.wikipedia.org/wiki/Taylor_Booth_(mathematician)

    Taylor Lockwood Booth (September 22, 1933 – October 20, 1986) was a mathematician known for his work in automata theory. One of his fundamental works is Sequential Machines and Automata Theory (1967). It is a wide-ranging book meant for specialists, written for both theoretical computer scientists as well as electrical engineers.

  8. Giovanni Pighizzini - Wikipedia

    en.wikipedia.org/wiki/Giovanni_Pighizzini

    Pighizzini obtained optimal state complexity tradeoffs between different types of finite automata over a one-letter alphabet, [1] [2] [3] In particular, in his joint paper with Geffert and Mereghetti [2] he presented the first simulation of two-way nondeterministic finite automata by two-way deterministic finite automata using Savitch's theorem, contributing to the 2DFA vs. 2NFA open question.

  9. Krohn–Rhodes theory - Wikipedia

    en.wikipedia.org/wiki/Krohn–Rhodes_theory

    In the automata formulation, the Krohn–Rhodes theorem for finite automata states that given a finite automaton A with states Q and input set I, output alphabet U, then one can expand the states to Q' such that the new automaton A' embeds into a cascade of "simple", irreducible automata: In particular, A is emulated by a feed-forward cascade ...