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We study the qualitative and quantitative zero-reachability problem in probabilistic multi-counter systems. We identify the undecidable variants of the problems, and then we concentrate on the remaining two cases. In the first case, when we…

Formal Languages and Automata Theory · Computer Science 2014-01-28 Tomáš Brázdil , Stefan Kiefer , Antonín Kučera , Petr Novotný , Joost-Pieter Katoen

Interrupt Timed Automata (ITA) form a subclass of stopwatch automata where reachability and some variants of timed model checking are decidable even in presence of parameters. They are well suited to model and analyze real-time operating…

Formal Languages and Automata Theory · Computer Science 2015-04-20 Béatrice Bérard , Serge Haddad , Claudine Picaronny , Mohab Safey El Din , Mathieu Sassolas

Time-Sensitive Distributed Systems (TSDS), such as applications using autonomous drones, achieve goals under possible environment interference (\eg, winds). Moreover, goals are often specified using explicit time constraints which must be…

Logic in Computer Science · Computer Science 2024-07-03 Max Kanovich , Tajana Ban Kirigin , Vivek Nigam , Andre Scedrov , Carolyn Talcott

We prove PSPACE-completeness of all but one problem in a large space of pulling-block problems where the goal is for the agent to reach a target destination. The problems are parameterized by whether pulling is optional, the number of…

Computational Complexity · Computer Science 2023-11-16 Hayashi Ani , Sualeh Asif , Erik D. Demaine , Jenny Diomidova , Dylan Hendrickson , Jayson Lynch , Sarah Scheffler , Adam Suhl

We present a few results and several open problems concerning complete deterministic finite automata in which every non-empty subset of the state set occurs as the image of the whole state set under the action of a suitable input word.

Formal Languages and Automata Theory · Computer Science 2016-07-05 Evgenija Bondar , Mikhail Volkov

This study introduces Skewed Fully Asynchronous Cellular Automata (SACA), a novel update scheme in cellular automata that updates the states of only two consecutive and adjacent cells, such as ci and ci+1, simultaneously at each time step.…

Formal Languages and Automata Theory · Computer Science 2025-01-07 Virendra Kumar Gautam

Checking two probabilistic automata for equivalence has been shown to be a key problem for efficiently establishing various behavioural and anonymity properties of probabilistic systems. In recent experiments a randomised equivalence test…

Formal Languages and Automata Theory · Computer Science 2012-01-09 Stefan Kiefer , Andrzej S. Murawski , Joël Ouaknine , Björn Wachter , James Worrell

We study several decision problems for counter systems with guards defined by convex polyhedra and updates defined by affine transformations. In general, the reachability problem is undecidable for such systems. Decidability can be achieved…

Computational Complexity · Computer Science 2016-05-20 Radu Iosif , Arnaud Sangnier

The question if a deterministic finite automaton admits a software reset in the form of a so-called synchronizing word can be answered in polynomial time. In this paper, we extend this algorithmic question to deterministic automata beyond…

Formal Languages and Automata Theory · Computer Science 2020-12-23 Henning Fernau , Petra Wolf , Tomoyuki Yamakami

The problem of searching a polygonal region for an unpredictably moving intruder by a set of stationary guards, each carrying an orientable laser, is known as the Searchlight Scheduling Problem. Determining the computational complexity of…

Computational Geometry · Computer Science 2015-03-20 Giovanni Viglietta

We investigate the connectedness of clash-free timetables with respect to the Kempe-exchange operation. This investigation is related to the connectedness of the search space of timetabling problem instances, which is a desirable property,…

Discrete Mathematics · Computer Science 2015-07-13 Moritz Mühlenthaler , Rolf Wanka

Blondin et al. showed at LICS 2015 that two-dimensional vector addition systems with states have reachability witnesses of length exponential in the number of states and polynomial in the norm of vectors. The resulting guess-and-verify…

Logic in Computer Science · Computer Science 2016-05-09 Matthias Englert , Ranko Lazić , Patrick Totzke

We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata…

Formal Languages and Automata Theory · Computer Science 2012-10-09 Vojtech Forejt , Petr Jancar , Stefan Kiefer , James Worrell

Opacity is a property of privacy and security applications asking whether, given a system model, a passive intruder that makes online observations of system's behaviour can ascertain some "secret" information of the system. Deciding opacity…

Formal Languages and Automata Theory · Computer Science 2023-04-21 Jiří Balun , Tomáš Masopust , Petr Osička

Timed automata (TA) are a well-established formalism for specifying discrete-state/continuous-time behavior of time-critical reactive systems. Concerning the fundamental analysis problem of comparing a candidate implementation against a…

Formal Languages and Automata Theory · Computer Science 2020-09-17 Lars Luthmann , Hendrik Göttmann , Isabelle Bacher , Malte Lochau

We present a strongly exponential lower bound that applies both to the subset synchronization threshold for binary deterministic automata and to the careful synchronization threshold for binary partial automata. In the later form, the…

Formal Languages and Automata Theory · Computer Science 2016-02-16 Vojtěch Vorel

Given a graph $G$ and two vertices $s$ and $t$ in it, {\em graph reachability} is the problem of checking whether there exists a path from $s$ to $t$ in $G$. We show that reachability in directed layered planar graphs can be decided in…

Data Structures and Algorithms · Computer Science 2015-01-26 Diptarka Chakraborty , Raghunath Tewari

Visibly pushdown automata are input-driven pushdown automata that recognize some non-regular context-free languages while preserving the nice closure and decidability properties of finite automata. Visibly pushdown automata with multiple…

Logic in Computer Science · Computer Science 2015-07-01 Benedikt Bollig

This paper addresses the quantitative verification of finite-time constrained occupation time for stochastic continuous-time systems governed by stochastic differential equations (SDEs). Unlike classical reachability analysis, which focuses…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Bai Xue , C. -H. Luke Ong

We demonstrate that Col is PSPACE-complete on triangular grid graphs via a reduction from Bounded Two-Player Constraint Logic. This is the most structured graph family that Col is known to be computationally hard for.

Computational Complexity · Computer Science 2025-01-28 Kyle Burke , Craig Tennenhouse