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From dynamic algebras to test algebras

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Mathematical Foundations of Computer Science 1984 (MFCS 1984)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 176))

Abstract

We generalize some results, known for dynamic algebras, to test algebras. Main results: Every free algebra in the equational class generated by separable test algebras is isomorphic to a Kripke test structure. Consequently, equational classes generated by separable test algebras and by Kripke test structures coincide. In contrary to dynamic algebras, free separable test algebras over finitely many generators do not exist. Epimorphisms in the equational class generated by separable dynamic or test algebras are shown not to be necessarily surjective.

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Author information

Authors and Affiliations

  1. Faculty of Nuclear Science and Technical Engineering, Technical University of Prague, Prague, Czechoslovakia

    Jan Reiterman

  2. Faculty of Mathematics and Physics, Charles University, Prague, Prague, Czechoslovakia

    Věra Trnková

Authors
  1. Jan Reiterman
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  2. Věra Trnková
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Editor information

M. P. Chytil V. Koubek

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© 1984 Springer-Verlag Berlin Heidelberg

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Reiterman, J., Trnková, V. (1984). From dynamic algebras to test algebras. In: Chytil, M.P., Koubek, V. (eds) Mathematical Foundations of Computer Science 1984. MFCS 1984. Lecture Notes in Computer Science, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030332

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  • DOI: https://doi.org/10.1007/BFb0030332

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13372-8

  • Online ISBN: 978-3-540-38929-3

  • eBook Packages: Springer Book Archive

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