One-Counter Automata with Counter Observability - Archive ouverte HAL Access content directly
Conference Papers Year : 2016

One-Counter Automata with Counter Observability

Abstract

In a one-counter automaton (OCA), one can produce a letter from some finite alphabet, increment and decrement the counter by one, or compare it with constants up to some threshold. It is well-known that universality and language inclusion for OCAs are undecidable. In this paper, we consider OCAs with counter observability: Whenever the automaton produces a letter, it outputs the current counter value along with it. Hence, its language is now a set of words over an infinite alphabet. We show that universality and inclusion for that model are PSPACE-complete, thus no harder than the corresponding problems for finite automata. In fact, by establishing a link with visibly one-counter automata, we show that OCAs with counter observability are e ectively determinizable and closed under all boolean operations. Moreover, it turns out that they are expressively equivalent to strong automata, in which transitions are guarded by MSO formulas over the natural numbers with successor.
Fichier principal
Vignette du fichier
fsttcs-2016.pdf (1.06 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01407932 , version 1 (02-12-2016)

Identifiers

Cite

Benedikt Bollig. One-Counter Automata with Counter Observability. 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016), Dec 2016, Chennai, India. ⟨10.4230/LIPIcs.FSTTCS.2016⟩. ⟨hal-01407932⟩
204 View
243 Download

Altmetric

Share

Gmail Facebook X LinkedIn More