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Continuous Relations and Richardson’s Theorem

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Relational and Algebraic Methods in Computer Science (RAMICS 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7560))

Abstract

The paper intends to seek a definition of continuous relations with relational methods and gives another proof of Richardson’s theorem on nondeterministic cellular automata.

This work was supported in part by Grants-in-Aid for Scientific Research (C) 22500016 from Japan Society for the Promotion of Science (JSPS).

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References

  1. Brattka, V., Hertling, P.: Continuity and computability of relations. Informatik Berichte, vol. 164. FernUniversität in Hagen (1994)

    Google Scholar 

  2. Ceccherini-Silberstein, T., Coornaert, M.: Cellular automata and groups. Springer (2010)

    Google Scholar 

  3. Choquet, G.: Convergence. Annales de l’université de Grenoble 23, 57–112 (1947-1948)

    MathSciNet  Google Scholar 

  4. Desharnais, J.: Monomorphic characterization of n-ary direct products. Information Sciences 119(3-4), 275–288 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  5. Freyd, P., Scedrov, A.: Categories, allegories. North-Holland, Amsterdam (1990)

    MATH  Google Scholar 

  6. Richardson, D.: Tessellations with local transformations. J. Computer and System Sciences 6, 373–388 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  7. Schmidt, G., Ströhlein, T.: Relations and graphs, Discrete Mathematics for Computer Scientists. EATCS-Monographs on Theoret. Comput. Sci. Springer, Berlin (1993)

    MATH  Google Scholar 

  8. Wolfram, S.: A new kind of science. Wolfram Media (2002)

    Google Scholar 

  9. Ziegler, M.: Relative computability and uniform continuity of relations. Logic seminar 2011, Technische Universität Darmstadt (2011)

    Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Furusawa, H., Ishida, T., Kawahara, Y. (2012). Continuous Relations and Richardson’s Theorem. In: Kahl, W., Griffin, T.G. (eds) Relational and Algebraic Methods in Computer Science. RAMICS 2012. Lecture Notes in Computer Science, vol 7560. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33314-9_21

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  • DOI: https://doi.org/10.1007/978-3-642-33314-9_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33313-2

  • Online ISBN: 978-3-642-33314-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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