Compatibility of Shelah and Stupp's and Muchnik's iteration with fragments of monadic second order logic

Kuske, Dietrich

doi:10.4230/LIPIcs.STACS.2008.1366

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Compatibility of Shelah and Stupp's and Muchnik's iteration with fragments of monadic second order logic

Author Dietrich Kuske

Part of: Volume: 25th International Symposium on Theoretical Aspects of Computer Science (STACS 2008)
Part of: Series: Leibniz International Proceedings in Informatics (LIPIcs)
Part of: Conference: Symposium on Theoretical Aspects of Computer Science (STACS)
License: Creative Commons Attribution-NoDerivs 3.0 Unported license
Publication Date: 2008-02-06

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Document Identifiers

DOI: 10.4230/LIPIcs.STACS.2008.1366
URN: urn:nbn:de:0030-drops-13668

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Logic in computer science
Rabin's tree theorem

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Abstract

We investigate the relation between the theory of the iterations in
   the sense of Shelah-Stupp and of Muchnik, resp., and the theory of
   the base structure for several logics.  These logics are obtained
   from the restriction of set quantification in monadic second order
   logic to certain subsets like, e.g., finite sets, chains, and
   finite unions of chains.  We show that these theories of the
   Shelah-Stupp iteration can be reduced to corresponding theories of
   the base structure.  This fails for Muchnik's iteration.

Cite As Get BibTex

Dietrich Kuske. Compatibility of Shelah and Stupp's and Muchnik's iteration with fragments of monadic second order logic. In 25th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 1, pp. 467-478, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008) https://doi.org/10.4230/LIPIcs.STACS.2008.1366

Author Details

Dietrich Kuske

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