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We present a unified deductive verification framework for first-order temporal properties based on well-founded rankings, where verification conditions are discharged using SMT solvers. To that end, we introduce a novel reduction from…

Logic in Computer Science · Computer Science 2026-01-21 Raz Lotan , Neta Elad , Oded Padon , Sharon Shoham

The increasing use of model-based tools enables further use of formal verification techniques in the context of distributed real-time systems. To avoid state explosion, it is necessary to construct verification models that focus on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Chih-Hong Cheng , Christian Buckl , Javier Esparza , Alois Knoll

We provide a tutorial introduction to reachability computation, a class of computational techniques that exports verification technology toward continuous and hybrid systems. For open under-determined systems, this technique can sometimes…

Systems and Control · Computer Science 2014-03-06 Oded Maler

We consider linear dynamical systems under floating-point rounding. In these systems, a matrix is repeatedly applied to a vector, but the numbers are rounded into floating-point representation after each step (i.e., stored as a…

Logic in Computer Science · Computer Science 2023-01-30 Engel Lefaucheux , Joël Ouaknine , David Purser , Mohammadamin Sharifi

We systematically investigate the complexity of model checking the existential positive fragment of first-order logic. In particular, for a set of existential positive sentences, we consider model checking where the sentence is restricted…

Logic in Computer Science · Computer Science 2015-03-20 Hubie Chen

We introduce a new framework for verifying systems with a parametric number of concurrently running processes. The systems we consider are well-structured with respect to a specific well-quasi order. This allows us to decide a wide range of…

Formal Languages and Automata Theory · Computer Science 2026-03-24 Paul Eichler , Swen Jacobs , Chana Weil-Kennedy

Metric Temporal Logic (MTL) is a prominent specification formalism for real-time systems. In this paper, we show that the satisfiability problem for MTL over finite timed words is decidable, with non-primitive recursive complexity. We also…

Logic in Computer Science · Computer Science 2017-01-11 Joel Ouaknine , James Worrell

Model checking and automated theorem proving are two pillars of formal methods. This paper investigates model checking from an automated theorem proving perspective, aiming at combining the expressiveness of automated theorem proving and…

Logic in Computer Science · Computer Science 2017-10-03 Ying Jiang , Jian Liu , Gilles Dowek , Kailiang Ji

We present CLTLB(D), an extension of PLTLB (PLTL with both past and future operators) augmented with atomic formulae built over a constraint system D. Even for decidable constraint systems, satisfiability and Model Checking problem of such…

Logic in Computer Science · Computer Science 2010-04-21 Marcello M. Bersani , Achille Frigeri , Angelo Morzenti , Matteo Pradella , Matteo Rossi , Pierluigi San Pietro

Component substitution has numerous practical applications and constitutes an active research topic. This paper proposes to enrich an existing component-based framework--a model with dynamic reconfigurations making the system evolve--with a…

Software Engineering · Computer Science 2014-08-10 Arnaud Lanoix , Olga Kouchnarenko

We present an approach to approximate reachable sets for linear systems with bounded L-infinity controls in finite time. Our first approach investigates the boundaries of these sets and reveals an exact characterization for single-input,…

Optimization and Control · Mathematics 2026-03-18 Steven Nguyen , Jorge Cortés , Boris Kramer

Given a model of the expected behavior of a business process and an event log recording its observed behavior, the problem of business process conformance checking is that of identifying and describing the differences between the model and…

Software Engineering · Computer Science 2020-03-06 Daniel Reißner , Abel Armas-Cervantes , Raffaele Conforti , Marlon Dumas , Dirk Fahland , Marcello La Rosa

Artifact systems are a novel paradigm for specifying and implementing business processes described in terms of interacting modules called artifacts. Artifacts consist of data and lifecycles, accounting respectively for the relational…

Multiagent Systems · Computer Science 2013-01-23 Francesco Belardinelli , Alessio Lomuscio , Fabio Patrizi

Monitoring is an important part of the verification toolbox, in particular in situations where exhaustive verification using, e.g., model-checking is infeasible. The goal of online monitoring is to determine the satisfaction or violation of…

Formal Languages and Automata Theory · Computer Science 2025-10-02 Thomas M. Grosen , Sean Kauffman , Kim G. Larsen , Martin Zimmermann

Finite dynamical systems (FDSs) are commonly used to model systems with a finite number of states that evolve deterministically and at discrete time steps. Considered up to isomorphism, those correspond to functional graphs. As such, FDSs…

Discrete Mathematics · Computer Science 2022-12-15 Émile Naquin , Maximilien Gadouleau

Distinguishability takes a crucial rule in studying observability of hybrid system such as switched system. Recently, for two linear systems, Lou and Si gave a condition not only necessary but also sufficient to the distinguishability of…

Optimization and Control · Mathematics 2011-02-21 Hongwei Lou

The notion of a non-deterministic logical matrix (where connectives are interpreted as multi-functions) extends the traditional semantics for propositional logics based on logical matrices (where connectives are interpreted as functions).…

Logic · Mathematics 2024-12-19 Carlos Caleiro , Pedro Filipe , Sérgio Marcelino

A finite number of rational functions are compatible if they satisfy the compatibility conditions of a first-order linear functional system involving differential, shift and q-shift operators. We present a theorem that describes the…

Symbolic Computation · Computer Science 2013-01-24 Shaoshi Chen , Ruyong Feng , Guofeng Fu , Ziming Li

The conformance testing problem for dynamical systems asks, given two dynamical models (e.g., as Simulink diagrams), whether their behaviors are "close" to each other. In the semi-formal approach to conformance testing, the two systems are…

Systems and Control · Computer Science 2015-05-22 Jyotirmoy V. Deshmukh , Rupak Majumdar , Vinayak S. Prabhu

In this paper, we study infinite dimensional stochastic systems having both unbounded control and observation operators. First of all, using a semigroup approach, we give another take of the well-posedness of such systems treated in [SIAM…

Optimization and Control · Mathematics 2021-05-31 Fatima-Zahra Lahbiri , Said Hadd