Skip to main content
Log in

Abstract

The experimental logic of Moore and Mealy-type automata is investigated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Birkhoff, G. (1948).Lattice Theory, 2nd ed., American Mathematical Society, New York.

    Google Scholar 

  • Birkhoff, G., and von Neumann, J. (1936). The logic of quantum mechanics,Annals of Mathematics,37, 823–843.

    MathSciNet  Google Scholar 

  • Booth, T. L. (1967).Sequential Automata and Automata Theory, Wiley, New York.

    Google Scholar 

  • Brauer, W. (1984).Automatentheorie, Teubner, Stuttgart.

    Google Scholar 

  • Chaitin, G. J. (1965).IEEE Transactions on Electronic Computers,EC-14, 466.

    Google Scholar 

  • Conway, J. H. (1971).Regular Algebras and Finite Automata, Clowes, London.

    Google Scholar 

  • Crutchfield, J. P. (1993). Observing complexity and the complexity of observation, inInside versus Outside, H. Atmanspacher and G. J. Dalenoort, eds., Springer, Berlin, pp. 235–272.

    Google Scholar 

  • Finkelstein, D., and Finkelstein, S. R. (1983). Computational complementarity,International Journal of Theoretical Physics,22, 753–779.

    Article  ADS  MathSciNet  Google Scholar 

  • Giuntini, R. (1991).Quantum Logic and Hidden Variables, BI Wissenschaftsverlag, Mannheim.

    Google Scholar 

  • Grätzer, G. (1971).Lattice Theory, Freeman, San Francisco.

    Google Scholar 

  • Grib, A. A., and Zapatrin, R. R. (1990). Automata simulating quantum logics,International Journal of Theoretical Physics,29, 113–123.

    Article  MathSciNet  Google Scholar 

  • Grib, A. A., and Zapatrin, R. R. (1992). Macroscopic realizations of quantum logics,International Journal of Theoretical Physics,31, 1669–1687.

    MathSciNet  Google Scholar 

  • Grib, A. A., Svozil, K., and Zapatrin, R. R. (1995). Empirical logic of finite automata: Microstatements versus macrostatements, Preprint.

  • Hopcroft, J. E., and Ullman, J. D. (1979).Introduction to Automata Theory, Languages and Computation, Addison-Wesley, Reading, Massachusetts.

    Google Scholar 

  • Jammer, M. (1974).The Philosophy of Quantum Mechanics, Wiley, New York.

    Google Scholar 

  • Jauch, J. (1968).Foundations of Quantum Mechanics, Addison-Wesley, Reading, Massachusetts.

    Google Scholar 

  • Kalmbach, G. (1983).Orthomodular Lattices, Academic Press, New York.

    Google Scholar 

  • Kochen, S., and Specker, E. (1965a). Logical structures arising in quantum theory, inSymposium on the Theory of Models, Proceedings of the 1963 International Symposium at Berkeley, North-Holland, Amsterdam, pp. 177–189.

    Google Scholar 

  • Kochen, S., and Specker, E. (1965b). The calculus of partial propositional functions, inProceedings of the 1964 International Congress for Logic, Methodology and Philosophy of Science, Jerusalem, North-Holland, Amsterdam, pp. 45–57.

    Google Scholar 

  • Moore, E. F. (1956). Gedanken experiments on sequential automata, inAutomata Studies, C. E. Shannon and J. McCarthy, eds., Princeton University Press, Princeton, New Jersey, pp. 129–153.

    Google Scholar 

  • Navara, M., and Rogalewicz, V. (1991). The pasting construction for orthomodular posets,Mathematische Nachrichten,154, 157–168.

    MathSciNet  Google Scholar 

  • Piron, C. (1976).Foundations of Quantum Physics, Benjamin, Reading, Massachusetts.

    Google Scholar 

  • Piziak, R. (1991). Orthomodular lattices and quadratic spaces: A survey,Rocky Mountain Journal of Mathematics,21, 951–992.

    MATH  MathSciNet  Google Scholar 

  • Pták, P., and Pulmannová, S. (1991).Orthomodular Structures as Quantum Logics, Kluwer, Dordrecht.

    Google Scholar 

  • Schaller, M., and Svozil, K. (1994). Partition logics of automata,Nuovo Cimento,109B, 167–176.

    MathSciNet  Google Scholar 

  • Specker, E. (1960). Die Logik nicht gleichzeitig entscheidbarer Aussagen,Dialectica,14, 239–246.

    MathSciNet  Google Scholar 

  • Svozil, K. (1993).Randomness and Undecidability in Physics, World Scientific, Singapore.

    Google Scholar 

  • Szász, G. (1963).Introduction to Lattice Theory, Academic Press, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schaller, M., Svozil, K. Automaton logic. Int J Theor Phys 35, 911–940 (1996). https://doi.org/10.1007/BF02302381

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02302381

Keywords

Navigation