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We study the verification of distributed systems where processes are finite automata with access to a shared pool of locks. We consider objectives that are boolean combinations of local regular constraints. We show that the problem,…

Formal Languages and Automata Theory · Computer Science 2022-10-17 Corto Mascle

Parametric timed automata (PTA) are an extension of timed automata in which clocks can be compared against parameters. The reachability problem asks for the existence of an assignment of the parameters to the non-negative integers such that…

Formal Languages and Automata Theory · Computer Science 2020-11-17 Stefan Göller , Mathieu Hilaire

Cooperative systems are systems in which the forces among agents are non-repulsive. The free evolution of such systems can tend to the formation of patterns, such as consensus or clustering, depending on the properties and intensity of the…

Optimization and Control · Mathematics 2019-02-26 Benoît Bonnet , Francesco Rossi

Multi-stack pushdown systems are a well-studied model of concurrent computation using threads with first-order procedure calls. While, in general, reachability is undecidable, there are numerous restrictions on stack behaviour that lead to…

Formal Languages and Automata Theory · Computer Science 2013-10-11 Matthew Hague

In public transport networks disruptions may occur and lead to travel delays. It is thus interesting to determine whether a traveler can be resilient to delays that occur unexpectedly, ensuring that they can reach their destination in time…

Computational Complexity · Computer Science 2023-08-24 Thomas Depian , Christoph Kern , Sebastian Röder , Soeren Terziadis , Markus Wallinger

A wide range of problems can be modelled as constraint satisfaction problems (CSPs), that is, a set of constraints that must be satisfied simultaneously. Constraints can either be represented extensionally, by explicitly listing allowed…

Artificial Intelligence · Computer Science 2013-07-09 Evgenij Thorstensen

Branching VASS (BVASS) generalise vector addition systems with states by allowing for special branching transitions that can non-deterministically distribute a counter value between two control states. A run of a BVASS consequently becomes…

Formal Languages and Automata Theory · Computer Science 2016-05-09 Stefan Göller , Christoph Haase , Ranko Lazić , Patrick Totzke

We study the reachability problem of a quantum system modelled by a quantum automaton. The reachable sets are chosen to be boolean combinations of (closed) subspaces of the state space of the quantum system. Four different reachability…

Logic in Computer Science · Computer Science 2014-01-27 Yangjia Li , Mingsheng Ying

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 consider the verification of distributed systems composed of an arbitrary number of asynchronous processes. Processes are identical finite-state machines that communicate by reading from and writing to a shared memory. Beyond the…

Formal Languages and Automata Theory · Computer Science 2023-08-01 Nicolas Waldburger

Vector addition system with states is an ubiquitous model of computation with extensive applications in computer science. The reachability problem for vector addition systems is central since many other problems reduce to that question. The…

Logic in Computer Science · Computer Science 2020-07-20 Jérôme Leroux , Grégoire Sutre

We consider the model of parametrized asynchronous shared-memory pushdown systems, as introduced in [Hague'11]. In a series of recent papers it has been shown that reachability in this model is PSPACE-complete [Esparza, Ganty, Majumdar'13]…

Formal Languages and Automata Theory · Computer Science 2016-07-19 Marie Fortin , Anca Muscholl , Igor Walukiewicz

Motivated by the increasing appeal of robots in information-gathering missions, we study multi-agent path planning problems in which the agents must remain interconnected. We model an area by a topological graph specifying the movement and…

Artificial Intelligence · Computer Science 2019-03-12 Tristan Charrier , Arthur Queffelec , Ocan Sankur , François Schwarzentruber

Addressable self-assembly is the formation of a target structure from a set of unique molecular or colloidal building-blocks, each of which occupies a defined location in the target. The requirement that each type of building-block appears…

Soft Condensed Matter · Physics 2019-12-03 Jim Madge , David Bourne , Mark A. Miller

Even after the proposal of various solution algorithms, the precise computational complexity of checking whether a Conditional Temporal Network is Dynamically Controllable had still remained widely open. This issue gets settled in this…

Data Structures and Algorithms · Computer Science 2016-08-31 Massimo Cairo , Romeo Rizzi

We study pushdown systems where control states, stack alphabet, and transition relation, instead of being finite, are first-order definable in a fixed countably-infinite structure. We show that the reachability analysis can be addressed…

Formal Languages and Automata Theory · Computer Science 2015-07-20 Lorenzo Clemente , Sławomir Lasota

The integration (interoperability) of highly disparate systems is an open topic of research in many domains. A common approach for getting two highly disparate systems to be interoperable, is through an agreed-upon protocol (e.g., via…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-27 Kim Nevelsteen , Martin Wehlou

It is known that the satisfiability problems of the product logics K4xS5 and S4xS5 are NEXPTIME-hard and that the satisfiability problem of the logic SSL of subset spaces is PSPACE-hard. We improve these lower bounds for the complexity of…

Logic in Computer Science · Computer Science 2019-08-12 Peter Hertling , Gisela Krommes

The constraint satisfaction problem (CSP) is a general problem central to computer science and artificial intelligence. Although the CSP is NP-hard in general, considerable effort has been spent on identifying tractable subclasses. The main…

Artificial Intelligence · Computer Science 2014-07-09 David A. Cohen , Martin C. Cooper , Páidí Creed , András Z. Salamon

In this paper, we study the program-point reachability problem of concurrent pushdown systems that communicate via unbounded and unordered message buffers. Our goal is to relax the common restriction that messages can only be retrieved by a…

Logic in Computer Science · Computer Science 2014-01-27 Jonathan Kochems , C-H Luke Ong