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O-minimal invariants for discrete-time dynamical systems

Abstract:

Termination analysis of linear loops plays a key rôle in several areas of computer science, including program verification and abstract interpretation. Already for the simplest variants of linear loops the question of termination relates to deep open problems in number theory, such as the decidability of the Skolem and Positivity Problems for linear recurrence sequences, or equivalently reachability questions for discrete-time linear dynamical systems. In this article, we introduce the class ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1145/3501299

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Oxford college:
Green Templeton College
Role:
Author
Publisher:
Association for Computing Machinery
Journal:
ACM Transactions on Computational Logic More from this journal
Volume:
23
Issue:
2
Article number:
9
Publication date:
2022-01-14
Acceptance date:
2021-11-01
DOI:
EISSN:
1557-945X
ISSN:
1529-3785
Language:
English
Keywords:
Pubs id:
1246426
Local pid:
pubs:1246426
Deposit date:
2022-04-06

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