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We consider the decision problem for quantifier-free formulas whose atoms are linear inequalities interpreted over the reals or rationals. This problem may be decided using satisfiability modulo theory (SMT), using a mixture of a SAT solver…

Logic in Computer Science · Computer Science 2009-04-23 David Monniaux

Artificial Intelligence problems, ranging form planning/scheduling up to game control, include an essential crucial step: describing a model which accurately defines the problem's required data, requirements, allowed transitions and…

Artificial Intelligence · Computer Science 2019-03-25 Andrei Arusoaie , Ionut Pistol

Satisfiability-based verification techniques, leveraging modern Boolean satisfiability (SAT) and Satisfiability Modulo Theories (SMT) solvers, have demonstrated efficacy in addressing practical problem instances within program analysis.…

Logic in Computer Science · Computer Science 2025-09-23 Markus Krahl , Matthias Güdemann , Stefan Wallentowitz

We present a Bounded Model Checking technique for higher-order programs. The vehicle of our study is a higher-order calculus with general references. Our technique is a symbolic state syntactical translation based on SMT solvers, adapted to…

Programming Languages · Computer Science 2018-04-06 Yu-Yang Lin , Nikos Tzevelekos

QNNVerifier is the first open-source tool for verifying implementations of neural networks that takes into account the finite word-length (i.e. quantization) of their operands. The novel support for quantization is achieved by employing…

Artificial Intelligence · Computer Science 2021-11-29 Xidan Song , Edoardo Manino , Luiz Sena , Erickson Alves , Eddie de Lima Filho , Iury Bessa , Mikel Lujan , Lucas Cordeiro

Checking for Non-Termination (NT) of a given program P, i.e., determining if P has at least one non-terminating run, is an undecidable problem that continues to garner significant research attention. While unintended NT is common in…

Software Engineering · Computer Science 2024-09-23 Ravindra Metta , Hrishikesh Karmarkar , Kumar Madhukar , R Venkatesh , Supratik Chakraborty , Samarjit Chakraborty

Higher-order modal fixpoint logic (HFL) is a higher-order extension of the modal mu-calculus, and strictly more expressive than the modal mu-calculus. It has recently been shown that various program verification problems can naturally be…

Logic in Computer Science · Computer Science 2019-08-29 Youkichi Hosoi , Naoki Kobayashi , Takeshi Tsukada

The paper considers the calibration of control-bounded analog-to-digital converters. It is demonstrated that variations of the analog frontend can be addressed by calibrating the digital estimation filter. In simulations (both behavioral…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Hampus Malmberg , Till Mettler , Thomas Burger , Fredrik Feyling , Hans-Andrea Loeliger

Bounded Model Checking (BMC) is a powerful technique for proving unsafety. However, finding deep counterexamples that require a large bound is challenging for BMC. On the other hand, acceleration techniques compute "shortcuts" that…

Logic in Computer Science · Computer Science 2024-08-12 Florian Frohn , Jürgen Giesl

Satisfiability Modulo Theories (SMT) solvers have been successfully applied to solve many problems in formal verification such as bounded model checking (BMC) for many classes of systems from integrated circuits to cyber-physical systems.…

Logic in Computer Science · Computer Science 2022-07-19 Luan V. Nguyen , Wesam Haddad , Taylor T. Johnson

We describe and evaluate LF-checker, a metaverifier tool based on machine learning. It extracts multiple features of the program under test and predicts the optimal configuration (flags) of a bounded model checker with a decision tree. Our…

Machine Learning · Computer Science 2023-01-24 Tong Wu , Edoardo Manino , Fatimah Aljaafari , Pavlos Petoumenos , Lucas C. Cordeiro

Model Predictive Control (MPC) can efficiently control constrained systems in real-time applications. MPC feedback law for a linear system with linear inequality constraints can be explicitly computed off-line, which results in an off-line…

Systems and Control · Computer Science 2016-06-13 Andrew Knyazev , Peizhen Zhu , Stefano Di Cairano

This paper considers the state estimation problem for nonlinear dynamic systems with unknown but bounded noises. Set membership filter (SMF) is a popular algorithm to solve this problem. In the set membership setting, we investigate the…

Optimization and Control · Mathematics 2022-11-10 Xiaowei Li , Xuqi Zhang , Zhiguo Wang , Xiaojing Shen

We address the problem of efficient verification of multi-threaded programs running over Total Store Order (TSO) memory model. It has been shown that even with finite data domain programs, the complexity of control state reachability under…

Logic in Computer Science · Computer Science 2016-06-20 Chinmay Narayan , Subodh Sharma , S. Arun-Kumar

Assimilation of continuously streamed monitored data is an essential component of a digital twin; the assimilated data are used to ensure the digital twin is a true representation of the monitored system. One way this is achieved is by…

Computational Engineering, Finance, and Science · Computer Science 2021-05-11 Rebecca Ward , Ruchi Choudhary , Alastair Gregory , Melanie Jans-Singh , Mark Girolami

Even the fastest SMT solvers have performance problems with regular expressions from real programs. Because these performance issues often arise from the problem representation (e.g. non-deterministic finite automata get determinized and…

Logic in Computer Science · Computer Science 2017-08-31 Arlen Cox , Jason Leasure

State and input constraints are ubiquitous in control system design. One recently developed tool to deal with these constraints is control barrier functions (CBF) which transform state constraints into conditions in the input space.…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Xiao Tan , Dimos V. Dimarogonas

Memory safety defects pose a major threat to software reliability, enabling cyberattacks, outages, and crashes. To mitigate these risks, organizations adopt Compositional Bounded Model Checking (BMC), using unit proofs to formally verify…

Software Engineering · Computer Science 2025-03-19 Paschal C. Amusuo , Owen Cochell , Taylor Le Lievre , Parth V. Patil , Aravind Machiry , James C. Davis

Integer overflow accounts for one of the major source of bugs in software. Verification systems typically assume a well defined underlying semantics for various integer operations and do not explicitly check for integer overflow in…

Programming Languages · Computer Science 2019-09-23 Asankhaya Sharma

Bounded model checking (BMC) is a well-known and successful technique for finding bugs in software. k-induction is an approach to extend BMC-based approaches from falsification to verification. Automatically generated auxiliary invariants…

Software Engineering · Computer Science 2015-02-03 Dirk Beyer , Matthias Dangl , Philipp Wendler