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Backwards reachability is an efficient zone-based approach for model checking probabilistic timed automata w.r.t. PTCTL properties. Current implementations, however, are restricted to maximum probabilities of reachability properties. In…

Logic in Computer Science · Computer Science 2022-08-26 Arnd Hartmanns , Bram Kohlen

A bottleneck in modern active automata learning is to test whether a hypothesized Mealy machine correctly describes the system under learning. The search space for possible counterexamples is given by so-called test suites, consisting of…

Logic in Computer Science · Computer Science 2024-01-24 Loes Kruger , Sebastian Junges , Jurriaan Rot

We show that deciding whether an argument a is stronger than an argument b with respect to the discussion-based semantics of Amgoud and Ben-Naim is decidable in polynomial time. At its core, this problem is about deciding whether, for two…

Artificial Intelligence · Computer Science 2026-04-21 Lydia Blümel , Kai Sauerwald , Kenneth Skiba , Matthias Thimm

Probabilistic behavior is omnipresent in computer controlled systems, in particular, so-called safety-critical hybrid systems, because of various reasons, like uncertain environments, or fundamental properties of nature. In this paper, we…

Formal Languages and Automata Theory · Computer Science 2021-01-04 Fujun Wang , Zining Cao , Lixing Tan , Zhen Li

We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

Optimization and Control · Mathematics 2016-05-04 Ashkan Jasour , Constantino Lagoa

With the increasing popularity of continuous integration, algorithms for selecting the minimal test-suite to cover a given set of changes are in order. This paper reports on how polymorphism can handle false negatives in a previous…

Software Engineering · Computer Science 2014-12-15 Ali Parsai , Quinten David Soetens , Alessandro Murgia , Serge Demeyer

A probabilistic vector addition system with states (pVASS) is a finite state Markov process augmented with non-negative integer counters that can be incremented or decremented during each state transition, blocking any behaviour that would…

Formal Languages and Automata Theory · Computer Science 2019-07-26 Tomáš Brázdil , Krishnendu Chatterjee , Antonín Kučera , Petr Novotný , Dominik Velan

The utilization of model checking has been suggested as a formal verification technique for analyzing critical systems. However, the primary challenge in applying to complex systems is state space explosion problem. To address this issue,…

Logic in Computer Science · Computer Science 2023-08-08 Mohammadsadegh Mohaghegh , Khayyam Salehi

We study the satisfiability problem of symbolic finite automata and decompose it into the satisfiability problem of the theory of the input characters and the monadic second-order theory of the indices of accepted words. We use our…

Logic in Computer Science · Computer Science 2023-07-04 Rodrigo Raya

A featured transition system is a transition system in which the transitions are annotated with feature expressions: Boolean expressions on a finite number of given features. Depending on its feature expression, each individual transition…

Formal Languages and Automata Theory · Computer Science 2017-02-28 Uli Fahrenberg , Axel Legay

Given a finite collection of probability measures defined on subsets of a measurable space, how can we determine if they are compatible, in the sense that they can be realized as conditional distributions of a single probability measure on…

Probability · Mathematics 2025-12-11 Owen D. Biesel , Colin McSwiggen , Ted Theodosopoulos , Michael G. Titelbaum

Pathwise predictability of continuous time processes is studied in deterministic setting. We discuss uniform prediction in some weak sense with respect to certain classes of inputs. More precisely, we study possibility of approximation of…

Optimization and Control · Mathematics 2009-11-13 Nikolai Dokuchaev

This paper is about reachability analysis in a restricted subclass of multi-pushdown automata. We assume that the control states of an automaton are partially ordered, and all transitions of an automaton go downwards with respect to the…

Logic in Computer Science · Computer Science 2015-07-01 Wojciech Czerwiński , Piotr Hofman , SŁawomir Lasota

State convergence is essential in several scientific areas, e.g. multi-agent consensus/disagreement, distributed optimization, monotone game theory, multi-agent learning over time-varying networks. This paper is the first on state…

Optimization and Control · Mathematics 2019-10-02 Filippo Fabiani , Giuseppe Belgioioso , Franco Blanchini , Patrizio Colaneri , Sergio Grammatico

Robust Markov decision processes (RMDPs) extend standard Markov decision processes (MDPs) to account for uncertainty in the transition probabilities. RMDPs have an uncertainty set that defines a set of possible transition functions, each of…

Logic in Computer Science · Computer Science 2026-04-30 Marnix Suilen , Guillermo A. Pérez

We propose a new efficient algorithm for detecting if a cycle in a timed automaton can be iterated infinitely often. Existing methods for this problem have a complexity which is exponential in the number of clocks. Our method is polynomial:…

Logic in Computer Science · Computer Science 2014-10-17 Aakash Deshpande , Frédéric Herbreteau , B. Srivathsan , Thanh-Tung Tran , Igor Walukiewicz

This paper introduces a problem in which the state of a system needs to be determined through costly tests of its components by a limited number of testing units and before a given deadline. We also consider a closely related search problem…

Discrete Mathematics · Computer Science 2021-01-15 Alessandro Agnetis , Ben Hermans , Roel Leus , Salim Rostami

Sample complexity of bias estimation is a lower bound on the runtime of any bias detection method. Many regulatory frameworks require the bias to be tested for all subgroups, whose number grows exponentially with the number of protected…

Machine Learning · Computer Science 2025-02-06 German Martinez Matilla , Jakub Marecek

Automata with monitor counters, where the transitions do not depend on counter values, and nested weighted automata are two expressive automata-theoretic frameworks for quantitative properties. For a well-studied and wide class of…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Krishnendu Chatterjee , Thomas A. Henzinger , Jan Otop

Techniques for the evaluation of complex polynomials with one and two variables are introduced. Polynomials arise in may areas such as control systems, image and signal processing, coding theory, electrical networks, etc., and their…

Systems and Control · Computer Science 2014-08-13 Khier Benmahammed , Saeed Badran , Bassam Kourdi