On the capacity of capacitated automata

Orna Kupferman, Sarai Sheinvald

פרסום מחקרי: פרק בספר / בדוח / בכנספרסום בספר כנסביקורת עמיתים

תקציר

Capacitated automata (CAs) have been recently introduced in [8] as a variant of finite-state automata in which each transition is associated with a (possibly infinite) capacity. The capacity bounds the number of times the transition may be traversed in a single run. The study in [8] includes preliminary results about the expressive power of CAs, their succinctness, and the complexity of basic decision problems for them. We continue the investigation of the theoretical properties of CAs and solve problems that have been left open in [8]. In particular, we show that union and intersection of CAs involve an exponential blow-up and that their determinization involves a doubly-exponential blow up. This blow-up is carried over to complementation and to the complexity of the universality and containment problems, which we show to be EXPSPACE-complete. On the positive side, capacities do not increase the complexity when used in the deterministic setting. Also, the containment problem for nondeterministic CAs is PSPACE-complete when capacities are used only in the left-hand side automaton. Our results suggest that while the succinctness of CAs leads to a corresponding increase in the complexity of some of their decision problems, there are also settings in which succinctness comes at no price.

שפה מקוריתאנגלית אמריקאית
כותר פרסום המארחLanguage and Automata Theory and Applications - 10th International Conference, LATA 2016, Proceedings
עורכיםBianca Truthe, Jan Janoušek, Adrian-Horia Dediu, Carlos Martín-Vide
מוציא לאורSpringer Verlag
עמודים307-319
מספר עמודים13
מסת"ב (מודפס)9783319299990
מזהי עצם דיגיטלי (DOIs)
סטטוס פרסוםפורסם - 2016
אירוע10th International Conference on Language and Automata Theory and Applications, LATA 2016 - Prague, צ'כיה
משך הזמן: 14 מרץ 201618 מרץ 2016

סדרות פרסומים

שםLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
כרך9618

כנס

כנס10th International Conference on Language and Automata Theory and Applications, LATA 2016
מדינה/אזורצ'כיה
עירPrague
תקופה14/03/1618/03/16

ASJC Scopus subject areas

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  • ???subjectarea.asjc.1700.1700???

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