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Verification of software systems is a very hard problem due to the large size of program state-space. The traditional techniques (like model checking) do not scale; since they include the whole state-space by inlining the library function…

Logic in Computer Science · Computer Science 2010-05-03 Pritam Roy

A common technique for checking properties of complex state machines is to build a finite abstraction then check the property on the abstract system -- where a passing check on the abstract system is only transferred to the original system…

Logic in Computer Science · Computer Science 2020-09-30 Rob Sumners

An autonomous AI ecosystem (SUBSTRATE S3), generating product specifications without explicit instructions about formal methods, independently proposed the use of Z3 SMT solver across six distinct domains of AI safety: verification of…

Software Engineering · Computer Science 2026-03-27 Octavian Untila

This paper presents an abstraction-refinement method to synthesize control inputs for a discrete-time piecewise linear system. The controlled system behavior satisfies a finite-word linear-time temporal objective while incurring minimal…

Optimization and Control · Mathematics 2017-09-07 Yoke Peng Leong , Pavithra Prabhakar

Finite-state models are ubiquitous in the study of concurrent systems, especially controllers and servers that operate in a repetitive cycle. In this paper, we show how to extract finite state models from a run of a multi-threaded Java…

Software Engineering · Computer Science 2024-07-26 KP Jevitha , Bharat Jayaraman , M Sethumadhavan

The most prominent formal criterion for secure compilation is full abstraction, the preservation and reflection of contextual equivalence. Recent work introduced robust compilation, defined as the preservation of robust satisfaction of…

Programming Languages · Computer Science 2021-09-21 Carmine Abate , Matteo Busi , Stelios Tsampas

The article "Interpolation and SAT-Based Model Checking" (McMillan, 2003) describes a formal-verification algorithm, which was originally devised to verify safety properties of finite-state transition systems. It derives interpolants from…

Software Engineering · Computer Science 2024-03-14 Dirk Beyer , Nian-Ze Lee , Philipp Wendler

We present a new approach to example-guided program synthesis based on counterexample-guided abstraction refinement. Our method uses the abstract semantics of the underlying DSL to find a program $P$ whose abstract behavior satisfies the…

Programming Languages · Computer Science 2017-10-24 Xinyu Wang , Isil Dillig , Rishabh Singh

IC3 is a famous bit-level framework for safety verification. By incorporating datapath abstraction, a notable enhancement in the efficiency of hardware verification can be achieved. However, datapath abstraction entails a coarse level of…

Logic in Computer Science · Computer Science 2023-09-27 Hongyu Fan , Fei He

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

We present a tool for verification of deterministic programs with shared mutable references against specifications such as assertions, preconditions, postconditions, and read/write effects. We implement our tool by encoding programs with…

Logic in Computer Science · Computer Science 2021-03-16 Georg Schmid , Viktor Kunčak

A common technique to verify complex logic specifications for dynamical systems is the construction of symbolic abstractions: simpler, finite-state models whose behaviour mimics the one of the systems of interest. Typically, abstractions…

Systems and Control · Electrical Eng. & Systems 2023-03-30 Rudi Coppola , Andrea Peruffo , Manuel Mazo

(CROPPED TO FIT IN ARXIV'S SILLY LIMIT. SEE PDF FOR COMPLETE ABSTRACT.) We are the first to thoroughly explore a large space of formal secure compilation criteria based on robust property preservation, i.e., the preservation of properties…

Programming Languages · Computer Science 2020-11-18 Carmine Abate , Roberto Blanco , Deepak Garg , Catalin Hritcu , Marco Patrignani , Jérémy Thibault

Quite often, verification tasks for distributed systems are accomplished via counter abstractions. Such abstractions can sometimes be justified via simulations and bisimulations. In this work, we supply logical foundations to this practice,…

Logic in Computer Science · Computer Science 2017-12-06 Silvio Ghilardi , Elena Pagani

The intention of the present study is to establish the mathematical fundamentals for automated problem solving essentially targeted for robotics by approaching the task universal algebraically introducing knowledge as realizations of…

Logic in Computer Science · Computer Science 2014-08-07 Seppo Ilari Tirri

The Why3 IDE and verification system facilitates the use of a wide range of Satisfiability Modulo Theories (SMT) solvers through a driver-based architecture. We present Where4: a portfolio-based approach to discharge Why3 proof obligations.…

Software Engineering · Computer Science 2017-01-31 Andrew Healy , Rosemary Monahan , James F. Power

Loop under-approximation is a technique that enriches C programs with additional branches that represent the effect of a (limited) range of loop iterations. While this technique can speed up the detection of bugs significantly, it…

Formal Languages and Automata Theory · Computer Science 2014-10-22 Daniel Kroening , Matt Lewis , Georg Weissenbacher

Finite abstractions (a.k.a. symbolic models) offer an effective scheme for approximating the complex continuous-space systems with simpler models in the discrete-space domain. A crucial aspect, however, is to establish a formal relation…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Behrad Samari , Mahdieh Zaker , Abolfazl Lavaei

Providing safety guarantees for stochastic dynamical systems is a central problem in various fields, including control theory, machine learning, and robotics. Existing methods either employ Stochastic Barrier Functions (SBFs) or rely on…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Luca Laurenti , Morteza Lahijanian

Recent advances in computer vision have made training object detectors more efficient and effective; however, assessing their performance in real-world applications still relies on costly manual annotation. To address this limitation, we…

Computer Vision and Pattern Recognition · Computer Science 2025-10-03 Seungju Yoo , Hyuk Kwon , Joong-Won Hwang , Kibok Lee
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