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Theoretical Computer Science pp 335–342Cite as

A hierarchy of sets of infinite trees

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 145))

Abstract

A hierarchy of sets of infinite (valued) trees is introduced which has no counterpart in the theory of sets of infinite strings ("ω-languages"). As a consequence we obtain that for sets of infinite trees an analogue of McNaughton's fundamental theorem on ω-languages does not hold.

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Authors and Affiliations

  1. Lehrstuhl für Informatik II, Büchel 29/31, D-5100, Aachen

    Wolfgang Thomas

Authors
  1. Wolfgang Thomas
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Editor information

Armin B. Cremers Hans-Peter Kriegel

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© 1982 Springer-Verlag Berlin Heidelberg

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Thomas, W. (1982). A hierarchy of sets of infinite trees. In: Cremers, A.B., Kriegel, HP. (eds) Theoretical Computer Science. Lecture Notes in Computer Science, vol 145. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036493

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  • DOI: https://doi.org/10.1007/BFb0036493

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11973-9

  • Online ISBN: 978-3-540-39421-1

  • eBook Packages: Springer Book Archive

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