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While Large Language Models (LLMs) have demonstrated strong math reasoning abilities through Reinforcement Learning with *Verifiable Rewards* (RLVR), many advanced mathematical problems are proof-based, with no guaranteed way to determine…

Computation and Language · Computer Science 2026-02-20 Haotong Yang , Zitong Wang , Shijia Kang , Siqi Yang , Wenkai Yu , Xu Niu , Yike Sun , Yi Hu , Zhouchen Lin , Muhan Zhang

A method for certifying exact input trackability for constrained discrete time linear systems is introduced in this paper. A signal is assumed to be drawn from a reference set and the system must track this signal with a linear combination…

Optimization and Control · Mathematics 2015-04-21 Tomasz T. Gorecki , Altuğ Bitlislioğlu , Giorgos Stathopoulos , Colin N. Jones

In this paper, new contributions to requirements-based testing with deterministic finite state machines are presented. Elementary requirements are specified as triples consisting of a state in the reference model, an input, and the expected…

Software Engineering · Computer Science 2021-05-26 Wen-ling Huang , Jan Peleska

Accurate evaluation of procedural communication compliance is essential in simulation-based training, particularly in safety-critical domains where adherence to compliance checklists reflects operational competence. This paper explores a…

Artificial Intelligence · Computer Science 2026-05-26 Vishakha Lall , Yisi Liu

We present a method for verifying the correctness of imperative programs which is based on the automated transformation of their specifications. Given a program prog, we consider a partial correctness specification of the form $\{\varphi\}$…

Logic in Computer Science · Computer Science 2020-02-19 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

This paper describes our work on demonstrating verification technologies on a flight-critical system of realistic functionality, size, and complexity. Our work targeted a commercial aircraft control system named Transport Class Model (TCM),…

Software Engineering · Computer Science 2015-02-10 Guillaume Brat , David Bushnell , Misty Davies , Dimitra Giannakopoulou , Falk Howar , Temesghen Kahsai

With the progress in deductive program verification research, new tools and techniques have become available to support design-by-contract reasoning about non-trivial programs written in widely-used programming languages. However, deductive…

Programming Languages · Computer Science 2021-07-14 Marieke Huisman , Raúl E. Monti

We present a novel and well automatable approach to formal verification of C programs with underspecified semantics, i.e., a language semantics that leaves open the order of certain evaluations. First, we reduce this problem to…

Programming Languages · Computer Science 2022-08-10 Eduard Kamburjan , Nathan Wasser

Answer Set Programming (ASP) is an important logic programming paradigm within the field of Knowledge Representation and Reasoning. As a concise, human-readable, declarative language, ASP is an excellent tool for developing trustworthy…

Logic in Computer Science · Computer Science 2025-02-14 Zachary Hansen

This paper presents a framework that guides the requirements engineer in the implementation and execution of an effective requirements generation process. We achieve this goal by providing a well-defined requirements engineering model and a…

Software Engineering · Computer Science 2016-11-18 Lester Lobo , James D. Arthur

Most model checkers provide a useful simulation mode, that allows users to explore the set of possible behaviours by interactively picking at each state which event to execute next. Traditionally this simulation mode cannot take into…

Software Engineering · Computer Science 2019-12-24 Julien Brunel , David Chemouil , Alcino Cunha , Nuno Macedo

We propose a new approach for modelling the functional behaviour of an Earth observation satellite. We leverage this approach in order to develop a safety critical software, a "telecommand verifier", that is in charge of checking onboard…

Software Engineering · Computer Science 2020-02-11 Vincent Mussot , Silvano Dal Zilio , Loic Correnson , Serge Rainjonneau , Yves Bardout , Grégoire Scano

Any prediction from a model is made by a combination of learning history and test stimuli. This provides significant insights for improving model interpretability: {\it because of which part(s) of which training example(s), the model…

Computation and Language · Computer Science 2020-11-03 Yuxian Meng , Chun Fan , Zijun Sun , Eduard Hovy , Fei Wu , Jiwei Li

Traditionally, practitioners use formal methods pre-dominately for one half of the quality-assurance process: verification (do we build the software right?). The other half -- validation (do we build the right software?) -- has been given…

Software Engineering · Computer Science 2021-02-12 Atif Mashkoor , Michael Leuschel , Alexander Egyed

Scenario-Based Programming is a methodology for modeling and constructing complex reactive systems from simple, stand-alone building blocks, called scenarios. These scenarios are designed to model different traits of the system, and can be…

Software Engineering · Computer Science 2020-10-13 Guy Katz , Assaf Marron , Aviran Sadon , Gera Weiss

Motivated by the growing requirements on the operation of complex engineering systems, we present contracts as specifications for continuous-time linear dynamical systems with inputs and outputs. A contract is defined as a pair of…

Dynamical Systems · Mathematics 2021-09-17 B. M. Shali , A. J. van der Schaft , B. Besselink

Formal verification has been successfully developed in computer science for verifying combinatorial classes of models and specifications. In like manner, formal verification methods have been developed for dynamical systems. However, the…

Systems and Control · Computer Science 2013-08-27 Rafael Wisniewski

This paper suggests an approach to the development of software testing and debugging automation tools based on precise program behavior models. The program behavior model is defined as a set of events (event trace) with two basic binary…

Software Engineering · Computer Science 2007-05-23 Mikhail Auguston

Goal-models (GM) have been used in adaptive systems engineering for their ability to capture the different ways to fulfill the requirements. Contextual GM (CGM) extend these models with the notion of context and context-dependent…

Software Engineering · Computer Science 2015-03-25 Felipe Pontes Guimarães , Genaina Nunes Rodrigues , Raian Ali , Daniel Macêdo Batista

Virtually all verification techniques using formal methods rely on the availability of a formal specification, which describes the design requirements precisely. However, formulating specifications remains a manual task that is notoriously…

Formal Languages and Automata Theory · Computer Science 2025-01-28 Daniel Neider , Rajarshi Roy