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Homomorphisms between stochastic sequential machines and related problems

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Abstract

The problem of finding a stochastic sequential machine with minimal number of states and homomorphic to a given machine is studied in various aspects. The methods used for investigating the above problem are based upon the properties of a certain convex polyhedron associated with the given machine.

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References

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Authors and Affiliations

  1. Electronics Research Laboratory, USA

    A. Paz

  2. Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, USA

    A. Paz

Authors
  1. A. Paz
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Additional information

The research reported herein was supported by the Air Force Office of Scientific Research, Office of Aerospace Research, United States Air Force under AFOSR Grant AFAFOSR-639-67.

On leave from Technion, Israel Institute of Technology, Haifa, Israel.

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Paz, A. Homomorphisms between stochastic sequential machines and related problems. Math. Systems Theory 2, 223–245 (1968). https://doi.org/10.1007/BF01694007

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  • DOI: https://doi.org/10.1007/BF01694007

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