This group gathers pioneers of theory of computation whose primary contribution was formal languages and automata theory, including finite automata, context-free grammars and parsing, Turing machines and computability, the Church-Turing thesis, recursive function theory, decidability and the halting problem, and the closely related theory of concurrent computation such as Petri nets, trace theory and process calculi that describe the non-sequential behavior of communicating systems. It follows the Formal languages and automata theory second-level heading of the ACM Computing Classification System under Theory of Computation. Their shared work is defining what a machine or grammar can express or decide at all, as distinct from how efficiently a solvable problem can be computed, which belongs to Algorithm Design and Analysis.
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Era of Emergence Formal Languages and Automata Theory
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1. Wikipedia: Automata theory
Wikimedia FoundationAutomata theory, History section, structure-theory sentenceQuote, Automata theory, History section, structure-theory sentence
In the 1960s, a body of algebraic results known as "structure theory" or "algebraic decomposition theory" emerged, which dealt with the realization of sequential machines from smaller machines by interconnection.
View the Source Thompson's construction (Wikipedia)
Has Member: Thompson's construction, LeadQuote, Has Member: Thompson's construction, Lead
is a method of transforming a regular expression into an equivalent nondeterministic finite automaton (NFA)
View the Source Lila Kari (Wikipedia)
Has Member: Lila Kari, Research, formal languagesQuote, Has Member: Lila Kari, Research, formal languages
Kari's thesis research was in formal language theory.
View the Source Noam Chomsky (Wikipedia)
Has Member: Noam Chomsky, Lead, Chomsky hierarchyQuote, Has Member: Noam Chomsky, Lead, Chomsky hierarchy
He created or co-created the universal grammar theory, the generative grammar theory, the Chomsky hierarchy, and the minimalist program.
View the Source Dominique Perrin (Wikipedia)
Has Member: Dominique Perrin, Scientific contributions, formal language theoryQuote, Has Member: Dominique Perrin, Scientific contributions, formal language theory
Perrin has published around 50 research articles in formal language theory.
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