Download Developments in Language Theory: 12th International by Zoltán Ésik (auth.), Masami Ito, Masafumi Toyama (eds.) PDF

By Zoltán Ésik (auth.), Masami Ito, Masafumi Toyama (eds.)

This ebook constitutes the refereed complaints of the twelfth overseas convention on advancements in Language conception, DLT 2008, held in Kyoto, Japan, September 2008.

The 36 revised complete papers provided including 6 invited papers have been rigorously reviewed and chosen from 102 submissions. All very important matters in language idea are addressed together with grammars, acceptors and transducers for phrases, bushes and graphs; algebraic theories of automata; algorithmic, combinatorial and algebraic houses of phrases and languages; variable size codes; symbolic dynamics; mobile automata; polyominoes and multidimensional styles; decidability questions; photograph manipulation and compression; effective textual content algorithms; relationships to cryptography, concurrency, complexity thought and good judgment; bio-inspired computing; quantum computing.

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Extra info for Developments in Language Theory: 12th International Conference, DLT 2008, Kyoto, Japan, September 16-19, 2008. Proceedings

Sample text

The method of proving this begins with embedding the Post Correspondence Problem [27] into integer matrices (a method introduced by Paterson [25]), and continues by a procedure introduced by P. Turakainen [30] to convert any set of matrices into doubly stochastic ones, still preserving some essential properties of the original matrix set. It is possible to show that the emptiness problem for cut point and strict cut point languages is in fact undecidable for 25-state probabilistic automata over a binary alphabet.

Then this accepting computation accepts all words of L corresponding to words on the intersections of the rows α1 , α2 , . . , αi , . . and the columns β1 , β2 , . . , βi , . .. In Fig. 3 one immediately sees that this intersection of rows and columns determines unambiguously a 1-monochromatic submatrix of ML . To solve the combinatorial problem of covering all 1’s of a matrix by the minimal number of potentially overlapping 1-monochromatic submatrices is not easy. One possibility to use this fact is to restrict ML to a finite submatrix ML and then to estimate the largest 1-monochromatic submatrix S of ML .

And Rj = (rj1 , rj2 , . ) be different rows of ML . , rik = rjk . If C1 sends the same message m to C2 for its inputs αi and αj corresponding to the rows Ri and Rj , then C2 either has to accept both αi βk and αj βk or to reject both words αi βk and αj βk (The arguments of C2 are the message m and the word βk and these arguments are the same for inputs αi βk and αj βk ). Since the rows Ri and Rj differ in column k, the number of messages used is at least the number of different rows of ML . Now, one can easily observe that the number of different rows of ML is nothing else than the number of the equivalence classes of the Nerode relation for L and we are done (for a detailed argumentation see [10]).

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