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Computational Complementarity for Probabilistic Automata

In: Where Mathematics, Computer Science, Linguistics and Biology Meet

Author

Listed:
  • Cristian S. Calude

    (Technical University of Wien, Institute of Theoretical Physics
    The University of Auckland, Computer Science Department)

  • Elena Calude

    (Massey University at Albany, Institute of Information Sciences)

  • Karl Svozil

    (Technical University of Wien, Institute of Theoretical Physics)

Abstract

Motivated by Mermin’s analysis of Einstein-Podolsky-Rosen correlations [24] and [7], we study two computational complementarity principles introduced in [8] for a class of probabilistic automata. We prove the existence of probabilistic automata featuring both types of computational complementarity and we present a method to reduce, under certain conditions, the study of computational complementality of probabilistic automata to the study of computational complementarity of deterministic automata.

Suggested Citation

  • Cristian S. Calude & Elena Calude & Karl Svozil, 2001. "Computational Complementarity for Probabilistic Automata," Springer Books, in: Carlos Martín-Vide & Victor Mitrana (ed.), Where Mathematics, Computer Science, Linguistics and Biology Meet, chapter 0, pages 99-113, Springer.
    • Handle: RePEc:spr:sprchp:978-94-015-9634-3_9
    DOI: 10.1007/978-94-015-9634-3_9
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