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We propose a novel system, MathMistake Checker, designed to automate step-by-step mistake finding in mathematical problems with lengthy answers through a two-stage process. The system aims to simplify grading, increase efficiency, and…

Artificial Intelligence · Computer Science 2025-06-04 Tianyang Zhang , Zhuoxuan Jiang , Haotian Zhang , Lin Lin , Shaohua Zhang

For an easy use of model order reduction techniques in applications, software solutions are needed. In this paper, we describe the MORLAB, Model Order Reduction LABoratory, toolbox as an efficient implementation of model reduction…

Mathematical Software · Computer Science 2021-09-07 Peter Benner , Steffen W. R. Werner

We present VMT-LIB, a language for the representation of verification problems of linear-time temporal properties on infinite-state symbolic transition systems. VMT-LIB is an extension of the standard SMT-LIB language for SMT solvers,…

Logic in Computer Science · Computer Science 2021-09-28 Alessandro Cimatti , Alberto Griggio , Stefano Tonetta

In this work we present our work in developing a software verification tool for llvm-code - Lodin - that incorporates both explicit-state model checking, statistical model checking and symbolic state model checking algorithms.

Programming Languages · Computer Science 2020-06-05 Axel Legay , Dirk Nowotka , Danny Bøgsted Poulsen

A Metric Interval Temporal Logic (MITL) verification algorithm is presented. It verifies continuous-time signals without relying on high frequency sampling. Instead, it is assumed that collections of over- and under-approximating intervals…

Logic in Computer Science · Computer Science 2022-08-30 Daniel Selvaratnam , Michael Cantoni , J. M. Davoren , Iman Shames

Quantum systems, in general, output data that cannot be simulated efficiently by a classical computer, and hence is useful for solving certain mathematical problems and simulating quantum many-body systems. This also implies, unfortunately,…

Quantum Physics · Physics 2017-10-04 Keisuke Fujii , Masahito Hayashi

We develop new data structures and algorithms for checking verification queries in NetKAT, a domain-specific language for specifying the behavior of network data planes. Our results extend the techniques obtained in prior work on symbolic…

In order to work with mathematical content in computer systems, it is necessary to represent it in formal languages. Ideally, these are supported by tools that verify the correctness of the content, allow computing with it, and produce…

Logic in Computer Science · Computer Science 2020-05-27 Cezary Kaliszyk , Florian Rabe

In this thesis a comprehensive verification framework is proposed to contend with some important issues in composability verification and a verification process is suggested to verify composability of different kinds of systems models, such…

Software Engineering · Computer Science 2023-01-10 Imran Mahmood

This report describes the state of the art in verifiable computation. The problem being solved is the following: The Verifiable Computation Problem (Verifiable Computing Problem) Suppose we have two computing agents. The first agent is the…

Software testing and verification are critical for ensuring the reliability and security of modern software systems. Traditionally, formal verification techniques, such as model checking and theorem proving, have provided rigorous…

Software Engineering · Computer Science 2025-03-17 Norbert Tihanyi , Tamas Bisztray , Mohamed Amine Ferrag , Bilel Cherif , Richard A. Dubniczky , Ridhi Jain , Lucas C. Cordeiro

Distributed agreement-based (DAB) systems use common distributed agreement protocols such as leader election and consensus as building blocks for their target functionality. While automated verification for DAB systems is undecidable in…

Programming Languages · Computer Science 2023-01-18 Nouraldin Jaber , Christopher Wagner , Swen Jacobs , Milind Kulkarni , Roopsha Samanta

During the design phase of products and before going into production, it is necessary to verify the presence of mechanical plays, tolerances, and encumbrances on production mockups. This work introduces a multi-modal system that allows…

Robotics · Computer Science 2019-09-30 Paolo Tripicchio , Carlo Alberto Avizzano , Massimo Bergamasco

{log} (read 'setlog') was born as a Constraint Logic Programming (CLP) language where sets and binary relations are first-class citizens, thus fostering set programming. Internally, {log} is a constraint satisfiability solver implementing…

Logic in Computer Science · Computer Science 2026-03-13 Maximiliano Cristiá , Alfredo Capozucca , Gianfranco Rossi

We build a SAT solver implementing the DPLL algorithm in the verification-enabled programming language Dafny. The resulting solver is fully verified (soundness, completeness and termination are computer checked). We benchmark our Dafny…

Logic in Computer Science · Computer Science 2020-07-22 Cezar-Constantin Andrici , Ştefan Ciobâcă

Symbolic data structures for model checking timed systems have been subject to a significant research, with Difference Bound Matrices (DBMs) still being the preferred data structure in several mature verification tools. In comparison,…

Data Structures and Algorithms · Computer Science 2012-11-28 Kenneth Y. Jørgensen , Kim G. Larsen , Jiří Srba

In this paper we study possibilities of using hierarchical reasoning, symbol elimination and model generation for the verification of parametric systems, where the parameters can be constants or functions. Our goal is to automatically…

Logic in Computer Science · Computer Science 2019-10-14 Viorica Sofronie-Stokkermans

Matlab/Simulink is a development and simulation language that is widely used by the Cyber-Physical System (CPS) industry to model dynamical systems. There are two mainstream approaches to verify CPS Simulink models: model testing that…

Software Engineering · Computer Science 2019-05-10 Shiva Nejati , Khouloud Gaaloul , Claudio Menghi , Lionel C. Briand , Stephen Foster , David Wolfe

Braidlab is a Matlab package for analyzing data using braids. It was designed to be fast, so it can be used on relatively large problems. It uses the object-oriented features of Matlab to provide a class for braids on punctured disks and a…

Geometric Topology · Mathematics 2019-11-18 Jean-Luc Thiffeault , Marko Budisic

TLA+ is a formal specification language used for designing, modeling, documenting, and verifying systems through model checking. Despite significant interest from the research community, knowledge about usage of the TLA+ ecosystem in…

Software Engineering · Computer Science 2024-11-22 Roman Bögli , Leandro Lerena , Christos Tsigkanos , Timo Kehrer