---
_id: '2957'
abstract:
- lang: eng
text: 'We consider probabilistic automata on infinite words with acceptance defined
by parity conditions. We consider three qualitative decision problems: (i) the
positive decision problem asks whether there is a word that is accepted with positive
probability; (ii) the almost decision problem asks whether there is a word that
is accepted with probability 1; and (iii) the limit decision problem asks whether
words are accepted with probability arbitrarily close to 1. We unify and generalize
several decidability results for probabilistic automata over infinite words, and
identify a robust (closed under union and intersection) subclass of probabilistic
automata for which all the qualitative decision problems are decidable for parity
conditions. We also show that if the input words are restricted to lasso shape
(regular) words, then the positive and almost problems are decidable for all probabilistic
automata with parity conditions. For most decidable problems we show an optimal
PSPACE-complete complexity bound.'
article_number: '6280437'
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Mathieu
full_name: Tracol, Mathieu
id: 3F54FA38-F248-11E8-B48F-1D18A9856A87
last_name: Tracol
citation:
ama: 'Chatterjee K, Tracol M. Decidable problems for probabilistic automata on infinite
words. In: Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic
in Computer Science. IEEE; 2012. doi:10.1109/LICS.2012.29'
apa: 'Chatterjee, K., & Tracol, M. (2012). Decidable problems for probabilistic
automata on infinite words. In Proceedings of the 2012 27th Annual ACM/IEEE
Symposium on Logic in Computer Science. Dubrovnik, Croatia : IEEE. https://doi.org/10.1109/LICS.2012.29'
chicago: Chatterjee, Krishnendu, and Mathieu Tracol. “Decidable Problems for Probabilistic
Automata on Infinite Words.” In Proceedings of the 2012 27th Annual ACM/IEEE
Symposium on Logic in Computer Science. IEEE, 2012. https://doi.org/10.1109/LICS.2012.29.
ieee: K. Chatterjee and M. Tracol, “Decidable problems for probabilistic automata
on infinite words,” in Proceedings of the 2012 27th Annual ACM/IEEE Symposium
on Logic in Computer Science, Dubrovnik, Croatia , 2012.
ista: 'Chatterjee K, Tracol M. 2012. Decidable problems for probabilistic automata
on infinite words. Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic
in Computer Science. LICS: Logic in Computer Science, 6280437.'
mla: Chatterjee, Krishnendu, and Mathieu Tracol. “Decidable Problems for Probabilistic
Automata on Infinite Words.” Proceedings of the 2012 27th Annual ACM/IEEE Symposium
on Logic in Computer Science, 6280437, IEEE, 2012, doi:10.1109/LICS.2012.29.
short: K. Chatterjee, M. Tracol, in:, Proceedings of the 2012 27th Annual ACM/IEEE
Symposium on Logic in Computer Science, IEEE, 2012.
conference:
end_date: 2012-06-28
location: 'Dubrovnik, Croatia '
name: 'LICS: Logic in Computer Science'
start_date: 2012-06-25
date_created: 2018-12-11T12:00:33Z
date_published: 2012-08-23T00:00:00Z
date_updated: 2023-02-23T12:23:51Z
day: '23'
department:
- _id: KrCh
doi: 10.1109/LICS.2012.29
ec_funded: 1
external_id:
arxiv:
- '1107.2091'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1107.2091
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: Proceedings of the 2012 27th Annual ACM/IEEE Symposium on Logic in Computer
Science
publication_status: published
publisher: IEEE
publist_id: '3769'
quality_controlled: '1'
related_material:
record:
- id: '5384'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Decidable problems for probabilistic automata on infinite words
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2012'
...