A Half-Century of Automata Theory: Celebration and by A. Salomaa, D. Wood, Arto Salomaa

By A. Salomaa, D. Wood, Arto Salomaa

This quantity gathers lectures by way of eight distinct pioneers of automata conception, together with Turing Award winners. In every one contribution, the early advancements of automata concept are reminisced approximately and destiny instructions are instructed. even if a number of the contributions move into fairly interesting technical info, lots of the ebook is obtainable to a large viewers attracted to the development of the age of pcs.

The e-book is a needs to for pros in theoretical desktop technological know-how and comparable components of arithmetic. for college kids in those parts it presents a very deep view before everything of the recent millennium.

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8. Salton, Gerald [1979]. "The SMART Retrieval System - Experiments in Automatic Document Processing", Prentice Hall Inc. 9. Shepherson, J. C , [1959]. "The reduction of two-way automata to oneway automata", IBM Journal of Research and Development, Vol. 3, No. 2, 198-200. at 1 Introduction "Power from power series" (Salomaa [32]) for the theory of formal languages and automata theory was first recognized by M. P. Schiitzenberger at the end of the fifties. A systematic study of formal power series in noncommuting variables was initiated by Schiitzenberger [34].

In particular, we consider context-free grammars and languages, because of their simplicity to illustrate these results. The following result about impossibility of naming all languages in n 2 -hard sets will yield many powerful undecidability and incompleteness results. Let Ai, A21 • • • be a standard enumeration of names for a family of automata. We say that a set of automata accepting languages with property P, A = {Ai\P [L(Ai)} = True}, has an r. e. e. list A^, that names all and only languages in A, {L(Atj) Ai2,...

Soc. 117,285-306. 3. Hopcroft, J. , R. Motwani, and J. Ullman [2001]. , Addison-Wesley. 4. Kleinberg, J. [1998]. "Authoritative sources in a hyperlinked environment", Proc. 9th ACM SIAM Symposium, 668-677. 5. , and H. Yamada [I960]. "Regular expressions and state graphs for automata", IRE Trans, on Electronic Computers 9:1, 39-47. Reprinted in Moore [1964], 157-174. 6. Moore, E. ) [1964]. Sequential Machines: Selected Papers, Addison-Wesley, Reading, Mass. 7. Rabin, M. , and D. Scott [1959]. "Finite automata and their decision problems", IBM J.

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