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We propose a new abstract formalism for probabilistic timed systems, Parametric Interval Probabilistic Timed Automata, based on an extension of Parametric Timed Automata and Interval Markov Chains. In this context, we consider the…

Formal Languages and Automata Theory · Computer Science 2019-06-13 Étienne André , Benoît Delahaye , Paulin Fournier

This paper studies the set of terminal state covariances that are reachable over a finite time horizon from a given initial state covariance for a linear stochastic system with additive noise. For discrete-time systems, a complete…

Systems and Control · Electrical Eng. & Systems 2025-09-22 Fengjiao Liu , Panagiotis Tsiotras

We study the synthesis problem for systems with a parameterized number of processes. As in the classical case due to Church, the system selects actions depending on the program run so far, with the aim of fulfilling a given specification.…

Logic in Computer Science · Computer Science 2019-11-01 Béatrice Bérard , Benedikt Bollig , Mathieu Lehaut , Nathalie Sznajder

Extensions to finite-state automata on strings, such as multi-head automata or multi-counter automata, have been successfully used to encode many infinite-state non-regular verification problems. In this paper, we consider a generalization…

Formal Languages and Automata Theory · Computer Science 2015-09-25 Rayna Dimitrova , Rupak Majumdar

In a dynamic parametric process every subprocess may spawn arbitrarily many, identical child processes, that may communicate either over global variables, or over local variables that are shared with their parent. We show that reachability…

Logic in Computer Science · Computer Science 2016-09-20 Anca Muscholl , Helmut Seidl , Igor Walukiewicz

Reconfigurable broadcast networks (RBN) are a model of distributed computation in which agents can broadcast messages to other agents using some underlying communication topology which can change arbitrarily over the course of executions.…

Logic in Computer Science · Computer Science 2022-07-12 A. R. Balasubramanian , Lucie Guillou , Chana Weil-Kennedy

We characterize the complexity of the safety verification problem for parameterized systems consisting of a leader process and arbitrarily many anonymous and identical contributors. Processes communicate through a shared, bounded-value…

Logic in Computer Science · Computer Science 2015-05-26 Javier Esparza , Pierre Ganty , Rupak Majumdar

The workflow satisfiability problem is concerned with determining whether it is possible to find an allocation of authorized users to the steps in a workflow in such a way that all constraints are satisfied. The problem is NP-hard in…

Cryptography and Security · Computer Science 2012-10-16 J. Crampton , R. Crowston , G. Gutin , M. Jones , M. S. Ramanujan

We introduce the notion of quantum Markov decision process (qMDP) as a semantic model of nondeterministic and concurrent quantum programs. It is shown by examples that qMDPs can be used in analysis of quantum algorithms and protocols. We…

Quantum Physics · Physics 2014-07-10 Shenggang Ying , Mingsheng Ying

In parametric lock-sharing systems processes can spawn new processes to run in parallel, and can create new locks. The behavior of every process is given by a pushdown automaton. We consider infinite behaviors of such systems under strong…

Logic in Computer Science · Computer Science 2023-07-12 Corto Mascle , Anca Muscholl , Igor Walukiewicz

A complete deterministic finite (semi)automaton (DFA) with a set of states $Q$ is \emph{completely reachable} if every nonempty subset of $Q$ is the image of the action of some word applied to $Q$. The concept of completely reachable…

Formal Languages and Automata Theory · Computer Science 2025-02-12 Robert Ferens , Marek Szykuła

Pushdown systems (PDSs) are a natural model for sequential programs, but they can fail to accurately represent the way an assembly stack actually operates. Indeed, one may want to access the part of the memory that is below the current…

Formal Languages and Automata Theory · Computer Science 2018-11-08 Adrien Pommellet , Marcio Diaz , Tayssir Touili

We investigate Petri nets with data, an extension of plain Petri nets where tokens carry values from an infinite data domain, and executability of transitions is conditioned by equalities between data values. We provide a decision procedure…

Computation and Language · Computer Science 2024-07-12 Łukasz Kamiński , Sławomir Lasota

The problem of computing the reachable set for a given system is a quintessential question in nonlinear control theory. While previous work has yielded a plethora of approximate and analytical methods for determining such a set, these…

Optimization and Control · Mathematics 2020-12-29 Melkior Ornik

This article presents the complexity of reachability decision problems for parametric Markov decision processes (pMDPs), an extension to Markov decision processes (MDPs) where transitions probabilities are described by polynomials over a…

Logic in Computer Science · Computer Science 2020-09-29 Sebastian Junges , Joost-Pieter Katoen , Guillermo A. Pérez , Tobias Winkler

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

In areas such as computer software and hardware, manufacturing systems, and transportation, engineers encounter networks with arbitrarily large numbers of isomorphic subprocesses. Parameterized systems provide a framework for modeling such…

Formal Languages and Automata Theory · Computer Science 2016-10-03 M. H. Zibaeenejad , J. G. Thistle

Communicating finite-state machines (CFMs) are a Turing powerful model of asynchronous message-passing distributed systems. In weakly synchronous systems, processes communicate through phases in which messages are first sent and then…

Computation and Language · Computer Science 2023-08-22 Cinzia Di Giusto , Davide Ferré , Etienne Lozes , Nicolas Nisse

We revisit a fundamental result in real-time verification, namely that the binary reachability relation between configurations of a given timed automaton is definable in linear arithmetic over the integers and reals. In this paper we give a…

Logic in Computer Science · Computer Science 2017-04-20 Karin Quaas , Mahsa Shirmohammadi , James Worrell

In PLDI'20, Lee et al. introduced the \emph{promising } semantics PS 2.0 of the C++ concurrency that captures most of the common program transformations while satisfying the DRF guarantee. The reachability problem for finite-state programs…

Programming Languages · Computer Science 2020-10-19 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Adwait Godbole , Shankaranarayanan Krishna , Viktor Vafeiadis