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  Hierarchic Superposition with Weak Abstraction

Baumgartner, P., & Waldmann, U. (2013). Hierarchic Superposition with Weak Abstraction. In M. P. Bonacina (Ed.), Automated Deduction - CADE-24 (pp. 39-57). Berlin: Springer. doi:10.1007/978-3-642-38574-2_3.

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 Creators:
Baumgartner, Peter1, Author           
Waldmann, Uwe2, Author           
Affiliations:
1External Organizations, ou_persistent22              
2Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              

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 Abstract: In this paper we study possibilities of using methods for hierarchical reasoning in local theory extensions for the analysis and verification of parametric hybrid systems, where the parameters can be either constants or functions. Our goal is to automatically provide guarantees that such systems satisfy certain safety or invariance conditions. We first analyze the possibility of automatically generating such guarantees in the form of constraints on parameters, then show that we can also synthesise so-called criticality functions, typically used for proving stability and/or safety of hybrid systems. We illustrate our methods on several examples.

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Language(s): eng - English
 Dates: 20132013
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: BibTex Citekey: BaumgartnerWaldmann2013CADE
DOI: 10.1007/978-3-642-38574-2_3
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Title: 24th International Conference on Automated Deduction
Place of Event: Lake Placid, NY, USA
Start-/End Date: 2013-06-09 - 2013-06-14

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Title: Automated Deduction - CADE-24
  Abbreviation : CADE 2013
  Subtitle : 24th International Conference on Automated Deduction, Lake Placid, NY, USA, June 9-14, 2013. Proceedings
Source Genre: Proceedings
 Creator(s):
Bonacina, Maria Paola1, Editor
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: Berlin : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 39 - 57 Identifier: ISBN: 978-3-642-38573-5

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Title: Lecture Notes in Artificial Intelligence
  Abbreviation : LNAI
Source Genre: Series
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Pages: - Volume / Issue: 7898 Sequence Number: - Start / End Page: - Identifier: ISSN: 0302-9743