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Titlebook: Automata Theory and its Applications; Bakhadyr Khoussainov,Anil Nerode Textbook 2001 Springer Science+Business Media New York 2001 Automat

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期刊全称Automata Theory and its Applications
影响因子2023Bakhadyr Khoussainov,Anil Nerode
视频videohttp://file.papertrans.cn/167/166184/166184.mp4
学科分类Progress in Computer Science and Applied Logic
图书封面Titlebook: Automata Theory and its Applications;  Bakhadyr Khoussainov,Anil Nerode Textbook 2001 Springer Science+Business Media New York 2001 Automat
影响因子The theory of finite automata on finite stings, infinite strings, and trees has had a dis­ tinguished history. First, automata were introduced to represent idealized switching circuits augmented by unit delays. This was the period of Shannon, McCullouch and Pitts, and Howard Aiken, ending about 1950. Then in the 1950s there was the work of Kleene on representable events, of Myhill and Nerode on finite coset congruence relations on strings, of Rabin and Scott on power set automata. In the 1960s, there was the work of Btichi on automata on infinite strings and the second order theory of one successor, then Rabin‘s 1968 result on automata on infinite trees and the second order theory of two successors. The latter was a mystery until the introduction of forgetful determinacy games by Gurevich and Harrington in 1982. Each of these developments has successful and prospective applications in computer science. They should all be part of every computer scientist‘s toolbox. Suppose that we take a computer scientist‘s point of view. One can think of finite automata as the mathematical representation of programs that run us­ ing fixed finite resources. Then Btichi‘s SIS can be thought of as a
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Textbook 2001esent idealized switching circuits augmented by unit delays. This was the period of Shannon, McCullouch and Pitts, and Howard Aiken, ending about 1950. Then in the 1950s there was the work of Kleene on representable events, of Myhill and Nerode on finite coset congruence relations on strings, of Rab
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Applications of Rabin Automata,s, and theories of classes of structures. Section 5 is devoted to proving that the monadic second order theory of two successor functions, known as .2., is decidable. In particular, the section shows the relationship between definable relations in the monadic second order logic of two successors and languages accepted by Rabin automata.
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2297-0576 ed to represent idealized switching circuits augmented by unit delays. This was the period of Shannon, McCullouch and Pitts, and Howard Aiken, ending about 1950. Then in the 1950s there was the work of Kleene on representable events, of Myhill and Nerode on finite coset congruence relations on strin
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https://doi.org/10.1007/978-3-8349-8052-6m and nondeterminism. In the second section we define finite automata and provide many examples. We explain how automata perform their computations on inputs. We formalize the notion of computation (or equivalently run), introduce the notions of acceptance and finite automata (FA) recognizable languages.
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