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  On Hierarchical Reasoning in Combinations of Theories

Ihlemann, C., & Sofronie-Stokkermans, V. (2010). On Hierarchical Reasoning in Combinations of Theories. In J. Giesl, & R. Hähnle (Eds.), Automated Reasoning (pp. 30-45). Berlin: Springer. doi:10.1007/978-3-642-14203-1_4.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-14B9-D Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0024-B4B5-5
Genre: Conference Paper

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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 also have 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: 2011-01-1920102010
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 536338
DOI: 10.1007/978-3-642-14203-1_4
URI: http://dx.doi.org/10.1007/978-3-642-14203-1_4
Other: Local-ID: C125716C0050FB51-0972BB8F272A7400C125773E00499A74-Ihlemann-Sofronie-Stokkermans-ijcar-2010
 Degree: -

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Title: 5th International Joint Conference on Automated Reasoning
Place of Event: Edinburgh, UK
Start-/End Date: 2010-07-16 - 2010-07-19

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Title: Automated Reasoning
  Abbreviation : IJCAR 2010
Source Genre: Proceedings
 Creator(s):
Giesl, Jürgen1, Editor
Hähnle, Reiner1, Editor
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: Berlin : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 30 - 45 Identifier: ISBN: 978-3-642-14202-4

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Title: Lecture Notes in Artificial Intelligence
  Abbreviation : LNAI
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: 6173 Sequence Number: - Start / End Page: - Identifier: ISSN: 0302-9743