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  Efficient hierarchical reasoning about functions over numerical domains

Sofronie-Stokkermans, V. (2008). Efficient hierarchical reasoning about functions over numerical domains. In A. R. Dengel, K. Berns, T. M. Breuel, F. Bomarius, & T. R. Roth-Berghofer (Eds.), KI 2008: Advances in Artificial Intelligence: 31st Annual German Conference on AI, KI 2008 (pp. 135-143). Berlin: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-1B79-3 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0024-BBC1-4
Genre: Conference Paper

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 Creators:
Sofronie-Stokkermans, Viorica1, Author           
Affiliations:
1Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              

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 Abstract: We show that many properties studied in mathematical analysis (e.g.\ monotonicity, boundedness, inverse or Lipschitz properties, possibly combined with continuity and/or derivability) are expressible as axioms in a class for which sound and complete hierarchical proof methods for testing satisfiability of ground formulae exist. The results are useful for automated reasoning in analysis, and in the verification of hybrid systems.

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Language(s): eng - English
 Dates: 2009-03-192008
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 428228
DOI: 10.1007/978-3-540-85845-4_17
URI: http://dx.doi.org/10.1007/978-3-540-85845-4_17
Other: Local-ID: C125756E0038A185-81A568586689C255C125745D004491D9-Sofronie-Stokkermans-ki2008
 Degree: -

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Title: Untitled Event
Place of Event: Kaiserslautern, Germany
Start-/End Date: 2008-09-23 - 2008-09-26

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Title: KI 2008: Advances in Artificial Intelligence : 31st Annual German Conference on AI, KI 2008
Source Genre: Proceedings
 Creator(s):
Dengel, Andreas R., Editor
Berns, Karsten, Editor
Breuel, Thomas M., Editor
Bomarius, Frank, Editor
Roth-Berghofer, Thomas R., Editor
Affiliations:
-
Publ. Info: Berlin : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 135 - 143 Identifier: ISBN: 978-3-540-85844-7

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Title: Lecture Notes in Artificial Intelligence
Source Genre: Series
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -