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  Local Theory Extensions, Hierarchical Reasoning and Applications to Verification

Sofronie-Stokkermans, V., Ihlemann, C., & Jacobs, S. (2007). Local Theory Extensions, Hierarchical Reasoning and Applications to Verification. In F. Baader, B. Cook, J. Giesl, & R. Nieuwenhuis (Eds.), Deduction and Decision Procedures (pp. 1-22). Dagstuhl, Germany: IBFI.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1FBB-4 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1FBC-2
Genre: Conference Paper

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 Creators:
Sofronie-Stokkermans, Viorica1, 2, Author           
Ihlemann, Carsten1, 2, Author           
Jacobs, Swen1, 2, Author           
Affiliations:
1Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              
2Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: Many problems occurring in verification can be reduced to proving the satisfiability of conjunctions of literals in a background theory. This can be a concrete theory (e.g. the theory of real or rational numbers), the extension of a theory with additional functions (free, monotone, or recursively defined) or a combination of theories. It is therefore very important to have efficient procedures for checking the satisfiability of conjunctions of ground literals in such theories. We present some new results on hierarchical and modular reasoning in complex theories, as well as several examples of application domains in which efficient reasoning is possible. We show, in particular, that various phenomena analyzed in the verification literature can be explained in a unified way using the notion of local theory extension.

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Language(s): eng - English
 Dates: 2008-03-252007
 Publication Status: Issued
 Pages: -
 Publishing info: Dagstuhl, Germany : IBFI
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 356452
Other: Local-ID: C12573CC004A8E26-FC0E822DFCD06090C12573AA003DD64A-Sofronie-Ihlemann-Jacobs-dagstuhl07
 Degree: -

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Title: Untitled Event
Place of Event: Dagstuhl, Germany
Start-/End Date: 2007-09-30 - 2007-10-05

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Title: Deduction and Decision Procedures
Source Genre: Proceedings
 Creator(s):
Baader, Franz1, Editor           
Cook, Byron, Editor
Giesl, Jürgen, Editor
Nieuwenhuis, Robert1, Editor           
Affiliations:
1 Programming Logics, MPI for Informatics, Max Planck Society, ou_40045            
Publ. Info: Dagstuhl, Germany : IBFI
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 1 - 22 Identifier: -

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Title: Dagstuhl Seminar Proceedings
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: ISSN: 1862-4405