Actualités
  Période
semaine
ou mois
aucune période


  Thèmes:
Thèses
Colloques
Autres
Groupes
Tous les thèmes

   
  Liens:
Voir les thèses

Voir les colloques

Voir les autres événements

Voir la page des groupes

Accéder à l'intranet

Intitulé:   
When are Emptiness and Containment Decidable for Probabilistic Automata?
du groupe Séminaire Méthodes Formelles

Date 2018-12-11  11:00-12:00
TitreWhen are Emptiness and Containment Decidable for Probabilistic Automata? 
RésuméThe emptiness and containment problems for probabilistic automata are natural quantitative generalisations of the classical language emptiness and inclusion problems for Boolean automata. It is well known that both problems are undecidable. In this paper we provide a more refined view of these problems in terms of the degree of ambiguity of probabilistic automata. We show that a gap version of the emptiness problem (that is known be undecidable in general) becomes decidable for automata of polynomial ambiguity. We complement this positive result by showing that the emptiness problem remains undecidable even when restricted to automata of linear ambiguity. We then turn to finitely ambiguous automata. Here we show decidability of containment in case one of the automata is assumed to be unambiguous while the other one is allowed to be finitely ambiguous. Our proof of this last result relies on the decidability of the theory of real exponentiation, which has been shown, subject to Schanuel's Conjecture, by Macintyre and Wilkie. 
Lieu178 
OrateurFilip Mazowiecki 
Emailhttps://www.labri.fr/perso/fmazowiecki/ 
UrlLaBRI 



Aucun document lié à cet événement.

Retour
Retour à l'index