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One more property of array languages

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Mathematical Methods of Specification and Synthesis of Software Systems '85 (MMSSS 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 215))

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Abstract

We exhibit an array language which is accepted by a non-deterministic finite automaton A /without pebbles/ and which is logspace complete for the class of array languages accepted by Turing machines in logarithmic space. It follows, that if there exists any deterministic automaton with a finite number of pebbles which accepts the same language as O-pebble automaton A then NL = L.

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References

  1. Blum, M. and C. Hewitt: Automata on 2-dimensional tape. — In: Proc. 8 th IEEE Symp. Switching Theory, 1967, 155–160.

    Google Scholar 

  2. Cook, C. R. and P. S. P. Wang: A Chomsky hierarchy of isotonic array grammars and languages. — In: Comp. Graphics Image Processing 8, 1978, 144–152.

    Google Scholar 

  3. Ejsmont, M.: Problems in labyrinth decidable by pebble automata. Elektron. Informationsverarb. u. Kybernetik 12 (1984), 623–632.

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  4. Ejsmont, M.: Array languages acceptable in logarithmic space. submitted to Information and Control, 1984.

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  5. Jones, N. D.: Space bounded reducibility among combinatorial problems. J. Comput. System Sci. 11 (1975), 62–85.

    Google Scholar 

  6. Miligram, D. L. and A. Rosenfeld: Array automata and array grammars. — In: Proc. IFIP Congres 71, Ljubljana, Yugosl., Aug. 23–28, 1971. — Amsterdam: North-Holland Pub. Comp., 1972, 166–173.

    Google Scholar 

  7. Rosenfeld, A.: Some notes on finite-state picture languages. Inform. Control 29 (1976), 177–184.

    Google Scholar 

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Wolfgang Bibel Klaus P. Jantke

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© 1986 Springer-Verlag Berlin Heidelberg

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Ejsmont, M. (1986). One more property of array languages. In: Bibel, W., Jantke, K.P. (eds) Mathematical Methods of Specification and Synthesis of Software Systems '85. MMSSS 1985. Lecture Notes in Computer Science, vol 215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16444-8_12

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  • DOI: https://doi.org/10.1007/3-540-16444-8_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16444-9

  • Online ISBN: 978-3-540-39784-7

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