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Partition logics of automata

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Il Nuovo Cimento B (1971-1996)

Summary

We introduce a new type of orthomodular poset which is obtained by considering the pasting of partitions of a set. These partition logics appear in the experimental investigation of finite automata and can be related to certain quantum-mechanical systems.

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References

  1. G. Birkhoff:Lattice Theory, 2nd edition (American Mathematical Society, Providence, R.I., 1948).

    MATH  Google Scholar 

  2. G. Birkhoff andJ. von Neumann:Ann. Math.,37, 823 (1936).

    Article  Google Scholar 

  3. E. F. Moore:Gedanken-experiments on sequential machines, inAutomata Studies, edited byC. E. Shannon andJ. McCarthy (Princeton University Press, Princeton, N.J., 1956).

    Google Scholar 

  4. J. H. Conway:Regular Algebra and Finite Machines (Chapman and Hall Ltd., London, 1971).

    MATH  Google Scholar 

  5. D. Finkelstein andS. R. Finkelstein:Int. J. Theor. Phys.,22, 753 (1983).

    Article  MathSciNet  MATH  Google Scholar 

  6. A. A. Grib andR. R. Zapatrin:Int. J. Theor. Phys.,29, 113 (1990);31, 1669 (1992).

    Article  MathSciNet  MATH  Google Scholar 

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

    Book  Google Scholar 

  8. P. Pták andS. Pulmannová:Orthomodular Structures as Quantum Logics (Kluwer Academic Publishers, Amsterdam, 1991).

    Google Scholar 

  9. G. Kalmbach:Orthomodular Lattices (Academic Press, New York, N.Y., 1983).

    MATH  Google Scholar 

  10. M. Navara andV. Rogalewicz:Math. Nachr.,154, 157 (1991).

    Article  MathSciNet  MATH  Google Scholar 

  11. S. Gudder:Stochastic Methods in Quantum Mechanics (North-Holland, Amsterdam, 1979).

    MATH  Google Scholar 

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Schaller, M., Svozil, K. Partition logics of automata. Nuov Cim B 109, 167–176 (1994). https://doi.org/10.1007/BF02727427

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  • DOI: https://doi.org/10.1007/BF02727427

PACS 03.65.Fd

PACS 03.65.Bz

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