---
res:
bibo_abstract:
- '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
for every ε > 0 there is a word that is accepted with probability at least 1 −
ε. 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 words, then the positive and almost problems are decidable
for all probabilistic automata with parity conditions.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Krishnendu
foaf_name: Chatterjee, Krishnendu
foaf_surname: Chatterjee
foaf_workInfoHomepage: http://www.librecat.org/personId=2E5DCA20-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-4561-241X
- foaf_Person:
foaf_givenName: Mathieu
foaf_name: Tracol, Mathieu
foaf_surname: Tracol
foaf_workInfoHomepage: http://www.librecat.org/personId=3F54FA38-F248-11E8-B48F-1D18A9856A87
bibo_doi: 10.15479/AT:IST-2011-0004
dct_date: 2011^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/2664-1690
dct_language: eng
dct_publisher: IST Austria@
dct_title: Decidable problems for probabilistic automata on infinite words@
...