---
_id: '631'
abstract:
- lang: eng
text: Template polyhedra generalize intervals and octagons to polyhedra whose facets
are orthogonal to a given set of arbitrary directions. They have been employed
in the abstract interpretation of programs and, with particular success, in the
reachability analysis of hybrid automata. While previously, the choice of directions
has been left to the user or a heuristic, we present a method for the automatic
discovery of directions that generalize and eliminate spurious counterexamples.
We show that for the class of convex hybrid automata, i.e., hybrid automata with
(possibly nonlinear) convex constraints on derivatives, such directions always
exist and can be found using convex optimization. We embed our method inside a
CEGAR loop, thus enabling the time-unbounded reachability analysis of an important
and richer class of hybrid automata than was previously possible. We evaluate
our method on several benchmarks, demonstrating also its superior efficiency for
the special case of linear hybrid automata.
acknowledgement: This research was supported in part by the Austrian Science Fund
(FWF) under grants S11402-N23 (RiSE/SHiNE) and Z211-N23 (Wittgenstein Award), by
the European Commission under grant 643921 (UnCoVerCPS), and by the ARC project
DP140104219 (Robust AI Planning for Hybrid Systems).
alternative_title:
- LNCS
author:
- first_name: Sergiy
full_name: Bogomolov, Sergiy
id: 369D9A44-F248-11E8-B48F-1D18A9856A87
last_name: Bogomolov
orcid: 0000-0002-0686-0365
- first_name: Goran
full_name: Frehse, Goran
last_name: Frehse
- first_name: Mirco
full_name: Giacobbe, Mirco
id: 3444EA5E-F248-11E8-B48F-1D18A9856A87
last_name: Giacobbe
orcid: 0000-0001-8180-0904
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
citation:
ama: 'Bogomolov S, Frehse G, Giacobbe M, Henzinger TA. Counterexample guided refinement
of template polyhedra. In: Vol 10205. Springer; 2017:589-606. doi:10.1007/978-3-662-54577-5_34'
apa: 'Bogomolov, S., Frehse, G., Giacobbe, M., & Henzinger, T. A. (2017). Counterexample
guided refinement of template polyhedra (Vol. 10205, pp. 589–606). Presented at
the TACAS: Tools and Algorithms for the Construction and Analysis of Systems,
Uppsala, Sweden: Springer. https://doi.org/10.1007/978-3-662-54577-5_34'
chicago: Bogomolov, Sergiy, Goran Frehse, Mirco Giacobbe, and Thomas A Henzinger.
“Counterexample Guided Refinement of Template Polyhedra,” 10205:589–606. Springer,
2017. https://doi.org/10.1007/978-3-662-54577-5_34.
ieee: 'S. Bogomolov, G. Frehse, M. Giacobbe, and T. A. Henzinger, “Counterexample
guided refinement of template polyhedra,” presented at the TACAS: Tools and Algorithms
for the Construction and Analysis of Systems, Uppsala, Sweden, 2017, vol. 10205,
pp. 589–606.'
ista: 'Bogomolov S, Frehse G, Giacobbe M, Henzinger TA. 2017. Counterexample guided
refinement of template polyhedra. TACAS: Tools and Algorithms for the Construction
and Analysis of Systems, LNCS, vol. 10205, 589–606.'
mla: Bogomolov, Sergiy, et al. Counterexample Guided Refinement of Template Polyhedra.
Vol. 10205, Springer, 2017, pp. 589–606, doi:10.1007/978-3-662-54577-5_34.
short: S. Bogomolov, G. Frehse, M. Giacobbe, T.A. Henzinger, in:, Springer, 2017,
pp. 589–606.
conference:
end_date: 2017-04-29
location: Uppsala, Sweden
name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
start_date: 2017-04-22
date_created: 2018-12-11T11:47:36Z
date_published: 2017-03-31T00:00:00Z
date_updated: 2023-09-07T12:53:00Z
day: '31'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-662-54577-5_34
file:
- access_level: open_access
checksum: f395d0d20102b89aeaad8b4ef4f18f4f
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:11:41Z
date_updated: 2020-07-14T12:47:27Z
file_id: '4897'
file_name: IST-2017-741-v1+1_main.pdf
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checksum: f416ee1ae4497b23ecdf28b1f18bb8df
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:11:42Z
date_updated: 2020-07-14T12:47:27Z
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file_name: IST-2018-741-v2+2_main.pdf
file_size: 563276
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file_date_updated: 2020-07-14T12:47:27Z
has_accepted_license: '1'
intvolume: ' 10205'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Submitted Version
page: 589 - 606
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication_identifier:
isbn:
- 978-366254576-8
publication_status: published
publisher: Springer
publist_id: '7162'
pubrep_id: '966'
quality_controlled: '1'
related_material:
record:
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relation: dissertation_contains
status: public
scopus_import: 1
status: public
title: Counterexample guided refinement of template polyhedra
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10205
year: '2017'
...