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On Guarding Nested Fixpoints (1999)  (Make Corrections)  (1 citation)
Helmut Seidl, Andreas Neumann
CSL



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Abstract: . For every hierarchical system of equations S over some complete and distributive lattice we construct an equivalent system with the same set of variables which additionally is guarded. The price to be paid is that the resulting right-hand sides may grow exponentially. We therefore present methods how the exponential blow-up can be avoided. Especially, the loop structure of the variable dependence graph is taken into account. Also we prove that size O(m \Delta jSj) suffices whenever S... (Update)

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BibTeX entry:   (Update)

Helmut Seidl and Andreas Neumann. On Guarding Nested Fixpoints. In Ann. Conf. of the European Association of Logic in Computer Science (CSL), pages 484--498. LNCS 1683, 1999. http://citeseer.ist.psu.edu/seidl99guarding.html   More

@inproceedings{ seidl99guarding,
    author = "Helmut Seidl and Andreas Neumann",
    title = "On Guarding Nested Fixpoints",
    booktitle = "{CSL}",
    pages = "484-498",
    year = "1999",
    url = "citeseer.ist.psu.edu/seidl99guarding.html" }
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225   Flow Analysis of Computer Programs (context) - Hecht - 1977
190   Results on the Propositional -Calculus (context) - Kozen - 1983
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12   Definable Operations in General Algebras (context) - Bekic - 1967
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8   Theoretical Computer Science (context) - Niwinski, Walukiewicz et al. - 1996
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6   Metric Interpretations of Infinite Trees and Semantics of No.. (context) - Arnold, Nivat - 1980
5   Notes on the Propositional -Calculus: Completeness and Relat.. (context) - Walukiewicz - 1995
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2   Fixpoints for Rabin Tree Automata Make Complementation Easy (context) - Kaivola - 1996
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1   Short version in 18th Int (context) - Neumann, Seidl et al. - 1998
1   of Computer and System Sciences (context) - Fong, Ullman et al. - 1977

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