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Recently, an efficient constraint solving-based approach has been developed to detect logical faults in systems specified with classical finite state machines (FSMs). The approach is unsuitable to detect violations of time constraints. In…

Software Engineering · Computer Science 2019-07-19 Omer Nguena Timo , Dimitri Prestat , Florent Avellaneda

Testing from Input/Output Transition Systems has been intensely investigated. The conformance between the implementation and the specification is often determined by the so-called ioco-relation. However, generating tests for ioco is usually…

Software Engineering · Computer Science 2014-03-31 Adenilso Simao , Alexandre Petrenko

Precise test oracles for reactive systems such as critical control systems and communication protocols can be modelled with deterministic finite state machines (FSMs). Among other roles, they serve in evaluating the correctness of systems…

Software Engineering · Computer Science 2022-04-05 Omer Nguena Timo

Verification of large and complicated concurrent programs is an important issue in the software world. Stateless model checking is an appropriate method for systematically and automatically testing of large programs, which has proved its…

Programming Languages · Computer Science 2016-03-14 Elaheh Ghassabani , Mohammad Abdollahi Azgomi

This paper deals with input/output-to-state stability (IOSS) of switched nonlinear systems in the discrete-time setting. We present an algorithm to construct periodic switching signals that obey pre-specified restrictions on admissible…

Optimization and Control · Mathematics 2021-06-01 Atreyee Kundu

Evaluating large language models (LLMs) has become increasingly challenging as model capabilities advance rapidly. While recent models often achieve higher scores on standard benchmarks, these improvements do not consistently reflect…

Computation and Language · Computer Science 2025-08-21 Haiquan Hu , Jiazhi Jiang , Shiyou Xu , Ruhan Zeng , Tian Wang

Finite-State Machines (FSMs) are critical for modeling the operational logic of network protocols, enabling verification, analysis, and vulnerability discovery. However, existing FSM extraction techniques face limitations such as…

Computation and Language · Computer Science 2025-07-16 Fares Wael , Youssef Maklad , Ali Hamdi , Wael Elsersy

Discrimination between quantum states is a fundamental task in quantum information theory. Given two arbitrary tensor-product quantum states (TPQS) $\rho_{\pm} = \rho_{\pm}^{(1)} \otimes \cdots \otimes \rho_{\pm}^{(N)}$, determining the…

Quantum Physics · Physics 2019-12-12 Sarah Brandsen , Mengke Lian , Kevin D. Stubbs , Narayanan Rengaswamy , Henry D. Pfister

In this paper, we propose a new methodology for state constrained stochastic optimal control (SOC) problems. The solution is based on past work in solving SOC problems using forward-backward stochastic differential equations (FBSDE). Our…

Systems and Control · Electrical Eng. & Systems 2021-04-07 Bolun Dai , Prashanth Krishnamurthy , Andrew Papanicolaou , Farshad Khorrami

In this article, we study some parallel processing algorithms for multiplication and modulo operations. We demonstrate that the state transitions that are formed under these algorithms satisfy lattice-linearity, where these algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-16 Arya Tanmay Gupta , Sandeep S Kulkarni

The finite time stability (FnTSta) theory of delayed systems has not been set up until now. In this paper, we propose a two-phases-method (2PM), to achieve this object. In the first phase, we prove that the time for norm of system error…

Systems and Control · Electrical Eng. & Systems 2020-02-06 Xiwei Liu

Labeled transition systems can be a great way to visualize the complex behavior of parallel and communicating systems. However, if, during a particular timeframe, no synchronization or communication between processes occurs, then multiple…

Formal Languages and Automata Theory · Computer Science 2025-05-01 P. H. M. van Spaendonck , K. H. J. Jilissen

Modern state-space models (SSMs) often utilize transition matrices which enable efficient computation but pose restrictions on the model's expressivity, as measured in terms of the ability to emulate finite-state automata (FSA). While…

Artificial Intelligence · Computer Science 2025-12-17 Aleksandar Terzić , Nicolas Menet , Michael Hersche , Thomas Hofmann , Abbas Rahimi

Large Language Models (LLMs) with chain-of-thought (COT) prompting have demonstrated impressive abilities on simple nature language inference tasks. However, they tend to perform poorly on Multi-hop Question Answering (MHQA) tasks due to…

Computation and Language · Computer Science 2024-07-04 Xiaochen Wang , Junqing He , Zhe yang , Yiru Wang , Xiangdi Meng , Kunhao Pan , Zhifang Sui

Finite state machines (FSMs) are a theoretically and practically important model of computation. We propose a general, thermodynamically consistent model of FSMs and characterise the resource requirements of these machines. We model FSMs as…

Statistical Mechanics · Physics 2018-08-27 Dominique Chu , Richard Spinney

The aim of this work is to investigate the use of Incrementally Input-to-State Stable ($\delta$ISS) deep Long Short Term Memory networks (LSTMs) for the identification of nonlinear dynamical systems. We show that suitable sufficient…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Fabio Bonassi , Alessio La Bella , Giulio Panzani , Marcello Farina , Riccardo Scattolini

There has been a growing interest in defining models of automata enriched with time, such as finite automata extended with clocks (timed automata). In this paper, we study deterministic timed finite state machines (TFSMs), i.e., finite…

Formal Languages and Automata Theory · Computer Science 2021-03-09 Davide Bresolin , Khaled El-Fakih , Tiziano Villa , Nina Yevtushenko

This paper deals with the analysis of input/output-to-state stability (IOSS) and construction of state-norm estimators for continuous-time switched nonlinear systems under restricted switching. Our contributions are twofold. First, given a…

Optimization and Control · Mathematics 2024-04-25 Atreyee Kundu

Among notions of detectability for a discrete-event system (DES), strong detectability implies that after a finite number of observations to every output/label sequence generated by the DES, the current state can be uniquely determined.…

Optimization and Control · Mathematics 2019-10-31 Kuize Zhang , Alessandro Giua

This paper presents a system identification framework -- inspired by multi-task learning -- to estimate the dynamics of a given number of linear time-invariant (LTI) systems jointly by leveraging structural similarities across the systems.…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Yiting Chen , Ana M. Ospina , Fabio Pasqualetti , Emiliano Dall'Anese