On the capacity of capacitated automata

Orna Kupferman, Sarai Sheinvald

نتاج البحث: فصل من :كتاب / تقرير / مؤتمرمنشور من مؤتمرمراجعة النظراء

ملخص

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.

اللغة الأصليةإنجليزيّة أمريكيّة
عنوان منشور المضيفLanguage and Automata Theory and Applications - 10th International Conference, LATA 2016, Proceedings
المحررونBianca Truthe, Jan Janoušek, Adrian-Horia Dediu, Carlos Martín-Vide
ناشرSpringer Verlag
الصفحات307-319
عدد الصفحات13
رقم المعيار الدولي للكتب (المطبوع)9783319299990
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 2016
الحدث10th International Conference on Language and Automata Theory and Applications, LATA 2016 - Prague, التشيك
المدة: ١٤ مارس ٢٠١٦١٨ مارس ٢٠١٦

سلسلة المنشورات

الاسمLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
مستوى الصوت9618

!!Conference

!!Conference10th International Conference on Language and Automata Theory and Applications, LATA 2016
الدولة/الإقليمالتشيك
المدينةPrague
المدة١٤/٠٣/١٦١٨/٠٣/١٦

All Science Journal Classification (ASJC) codes

  • !!Theoretical Computer Science
  • !!General Computer Science

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