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  On Hierarchical Reasoning in Combinations of Theories

Ihlemann, C., & Sofronie-Stokkermans, V.(2010). On Hierarchical Reasoning in Combinations of Theories (ATR60). SFB/TR 14 AVACS.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-14B7-2 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-002C-4545-6
Genre: Report

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http://www.avacs.org/Publikationen/Open/avacs_technical_report_060.pdf (Any fulltext)
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 Creators:
Ihlemann, Carsten1, Author           
Sofronie-Stokkermans, Viorica1, Author           
Affiliations:
1Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              

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 Abstract: In this paper we study theory combinations over non-disjoint signatures in which hierarchical and modular reasoning is possible. We use a notion of locality of a theory extension parameterized by a closure operator on ground terms. We give criteria for recognizing these types of theory extensions. We then show that combinations of extensions of theories which are local in this extended sense have also a locality property and hence allow modular and hierarchical reasoning. We thus obtain parameterized decidability and complexity results for many (combinations of) theories important in verification.

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Language(s): eng - English
 Dates: 2011-02-072010
 Publication Status: Issued
 Pages: 26 p.
 Publishing info: SFB/TR 14 AVACS
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 536339
BibTex Citekey: Ihlemann-Sofronie-Stokkermans-atr60-2010
Other: Local-ID: C125716C0050FB51-8E77AFE123C76116C1257782003FEBDA-Ihlemann-Sofronie-Stokkermans-atr60-2010
Report Nr.: ATR60
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Title: AVACS Technical Report
  Abbreviation : ATR
  Other : Reports of SFB/TR 14 AVACS
Source Genre: Series
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Pages: - Volume / Issue: 60 Sequence Number: - Start / End Page: - Identifier: ISSN: 1860-9821