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  Symbolic Representation of Upward-Closed Sets

Delzanno, G., & Raskin, J.-F. (2000). Symbolic Representation of Upward-Closed Sets. In S. Graf, & M. I. Schwartzbach (Eds.), Proceedings of the 6th Conference on Tools and Algorithms for Construction and Analysis of Systems (TACAS-00); Held as Part of the European Joint Conferences on the Theory and Practice of Software (ETAPS-00) (pp. 426-440). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3471-3 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3473-0
Genre: Conference Paper

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 Creators:
Delzanno, Giorgio1, Author           
Raskin, Jean-François, Author
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: Abstract. The control state reachability problem is decidable for well-structured infinite-state systems like unbounded Petri Nets, Vector Addition Systems, Lossy Petri Nets, and Broadcast Protocols. An abstract algorithm that solves the problem is given in [ACJT96,FS99]. The algorithm computes the closure of the predecessor operator w.r.t. a given upward-closed set of target states. When applied to this class of verification problems, traditional (infinite-state) symbolic model checkers suffer from the state explosion problem even for very small examples. We provide BDD-like data structures to represent in a compact way collections of upwards closed sets over numerical domains. This way, we turn the abstract algorithm of [ACJT96,FS99] into a practical method. Preliminary experimental results indicate the potential usefulness of our method.

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Language(s): eng - English
 Dates: 2010-03-122000
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 519836
Other: Local-ID: C1256104005ECAFC-6D7DCD150C50D03DC1256AB6002E4E0C-DelzannoRaskinTACAS2000
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Title: Untitled Event
Place of Event: Berlin, Germany
Start-/End Date: 2000

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Title: Proceedings of the 6th Conference on Tools and Algorithms for Construction and Analysis of Systems (TACAS-00); Held as Part of the European Joint Conferences on the Theory and Practice of Software (ETAPS-00)
Source Genre: Proceedings
 Creator(s):
Graf, Susann, Editor
Schwartzbach, Michael I., Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 426 - 440 Identifier: ISBN: 3-540-67282-6

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: 1785 Sequence Number: - Start / End Page: - Identifier: -