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The forerunner of this book appeared under the title Formal Languages and Their Relation to Automata in 1968. Forming a basis both for the creation of courses on the topic, as well as for further research, that book shaped the field of automata theory for over a decade, cf. (Hopcroft 1989). Hopcroft, John E.; Ullman, Jeffrey D. (1968).
Automata theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them. It is a theory in theoretical computer science with close connections to mathematical logic .
Elaine Alice Rich is an American computer scientist, known for her textbooks on artificial intelligence and automata theory and for her research on user modeling. She is retired as a distinguished senior lecturer from the University of Texas at Austin.
Word Processing in Groups is a monograph in mathematics on the theory of automatic groups, a type of abstract algebra whose operations are defined by the behavior of finite automata. The book's authors are David B. A. Epstein, James W. Cannon, Derek F. Holt, Silvio V. F. Levy, Mike Paterson, and William Thurston.
Let T be a semigroup. A semigroup S that is a homomorphic image of a subsemigroup of T is said to be a divisor of T.. The Krohn–Rhodes theorem for finite semigroups states that every finite semigroup S is a divisor of a finite alternating wreath product of finite simple groups, each a divisor of S, and finite aperiodic semigroups (which contain no nontrivial subgroups).
Von Neumann's System of Self-Replication Automata with the ability to evolve (Figure adapted from Luis Rocha's Lecture Notes at Binghamton University [6]).i) the self-replicating system is composed of several automata plus a separate description (an encoding formalized as a Turing 'tape') of all the automata: Universal Constructor (A), Universal Copier (B), operating system (C), extra ...
CA) is a discrete model of computation studied in automata theory. Cellular automata are also called cellular spaces, tessellation automata, homogeneous structures, cellular structures, tessellation structures, and iterative arrays. [2] Cellular automata have found application in various areas, including physics, theoretical biology and ...
Ullman is the co-recipient (with John Hopcroft) of the 2010 IEEE John von Neumann Medal "For laying the foundations for the fields of automata and language theory and many seminal contributions to theoretical computer science." [6] Ullman, Hopcroft, and Alfred Aho were co-recipients of the 2017 C&C Prize awarded by NEC Corporation. [7]