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  Efficient Hierarchical Reasoning about Functions over Numerical Domains

Sofronie-Stokkermans, V.(2008). Efficient Hierarchical Reasoning about Functions over Numerical Domains (ATR45). SFB/TR 14 AVACS.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0027-A46C-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-002C-454F-1
Genre: Report

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http://www.avacs.org/fileadmin/Publikationen/Open/avacs_technical_report_045.pdf (Any fulltext)
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 Creators:
Sofronie-Stokkermans, Viorica1, Author           
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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 (monotonicity, boundedness, inverse, Lipschitz properties, possibly combined with continuity or derivability) are expressible by formulae in a class for which sound and complete hierarchical proof methods for testing satisfiability of sets of ground clauses exist. The results are useful for automated reasoning in mathematical analysis and for the verification of hybrid systems.

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Language(s): eng - English
 Dates: 20082008
 Publication Status: Issued
 Pages: 17 p.
 Publishing info: SFB/TR 14 AVACS
 Table of Contents: -
 Rev. Type: -
 Identifiers: Report Nr.: ATR45
BibTex Citekey: Sofronie-Stokkermans-atr45-2008
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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: 45 Sequence Number: - Start / End Page: - Identifier: ISSN: 1860-9821