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We present a proof by induction algorithm, which combines k-induction with invariants to model check embedded C software with bounded and unbounded loops. The k-induction algorithm consists of three cases: in the base case, we aim to find a…

Logic in Computer Science · Computer Science 2015-09-09 Herbert Rocha , Hussama Ismail , Lucas Cordeiro , Raimundo Barreto

Abstract interpreters are complex pieces of software: even if the abstract interpretation theory and companion algorithms are well understood, their implementations are subject to bugs, that might question the soundness of their…

Programming Languages · Computer Science 2021-10-19 Lucas Franceschino , David Pichardie , Jean-Pierre Talpin

We prove several decidability and undecidability results for the satisfiability and validity problems for languages that can express solutions to word equations with length constraints. The atomic formulas over this language are equality…

Logic in Computer Science · Computer Science 2013-06-26 Vijay Ganesh , Mia Minnes , Armando Solar-Lezama , Martin Rinard

Modeling and analysis of timing constraints is crucial in cyber-physical systems (CPS). EAST-ADL is an architectural language dedicated to safety-critical embedded system design. SIMULINK/STATEFLOW (S/S) is a widely used industrial tool for…

Software Engineering · Computer Science 2019-04-16 Li Huang , Eun-Young Kang

Symbolic execution is a powerful technique for bug finding and program testing. It is successful in finding bugs in real-world code. The core reasoning techniques use constraint solving, path exploration, and search, which are also the same…

Software Engineering · Computer Science 2020-07-20 Sahil Verma , Roland H. C. Yap

Owing to the continued use of C (and C++), spatial safety violations (e.g., buffer overflows) still constitute one of today's most dangerous and prevalent security vulnerabilities. To combat these violations, Checked C extends C with…

Programming Languages · Computer Science 2022-03-28 Aravind Machiry , John Kastner , Matt McCutchen , Aaron Eline , Kyle Headley , Michael Hicks

Ensuring software quality in embedded firmware is critical, especially in safety-critical domains where compliance with functional safety standards (ISO 26262) requires strong guarantees of software reliability. While machine learning-based…

Software Engineering · Computer Science 2026-02-09 Marco De Luca , Domenico Amalfitano , Anna Rita Fasolino , Porfirio Tramontana

With the growing interest in quantum programs, ensuring their correctness is a fundamental challenge. Although constraint-solving techniques can overcome some limitations of traditional testing and verification, they have not yet been…

Quantum Physics · Physics 2026-02-25 Shangzhou Xia , Haitao Fu , Jianjun Zhao

Testing is an essential tool to assure software, especially so in safety-critical applications. To quantify how thoroughly a software item has been tested, a test coverage metric is required. Maybe the strictest such metric known in the…

Software Engineering · Computer Science 2025-11-25 Wanja Zaeske , Pietro Albini , Florian Gilcher , Umut Durak

Large language models (LLMs) have shown remarkable progress in coding and math problem-solving, but evaluation on advanced research-level problems in hard sciences remains scarce. To fill this gap, we present CMT-Benchmark, a dataset of 50…

The Support Vector Machine (SVM) method has been widely used in numerous classification tasks. The main idea of this algorithm is based on the principle of the margin maximization to find an hyperplane which separates the data into two…

Computation and Language · Computer Science 2015-07-23 Rimah Amami , Dorra Ben Ayed , Nouerddine Ellouze

SMT solvers use sophisticated techniques for polynomial (linear or non-linear) integer arithmetic. In contrast, non-polynomial integer arithmetic has mostly been neglected so far. However, in the context of program verification, polynomials…

Logic in Computer Science · Computer Science 2025-08-29 Florian Frohn , Jürgen Giesl

As the ubiquity and complexity of system-on-chip (SoC) designs increase across electronic devices, the task of incorporating security into an SoC design flow poses significant challenges. Existing security solutions are inadequate to…

Cryptography and Security · Computer Science 2025-05-30 Dipayan Saha , Shams Tarek , Katayoon Yahyaei , Sujan Kumar Saha , Jingbo Zhou , Mark Tehranipoor , Farimah Farahmandi

Recent recommender systems increasingly leverage embeddings from large pre-trained language models (PLMs). However, such embeddings exhibit two key limitations: (1) PLMs are not explicitly optimized to produce structured and discriminative…

Computation and Language · Computer Science 2026-01-19 Guy Hadad , Neomi Rabaev , Bracha Shapira

Several techniques and tools have been developed for verification of properties expressed as Horn clauses with constraints over a background theory (CHC). Current CHC verification tools implement intricate algorithms and are often limited…

Programming Languages · Computer Science 2014-05-16 John P. Gallagher , Bishoksan Kafle

While model checking PCTL for Markov chains is decidable in polynomial-time, the decidability of PCTL satisfiability, as well as its finite model property, are long standing open problems. While general satisfiability is an intriguing…

Logic in Computer Science · Computer Science 2015-03-20 Nathalie Bertrand , John Fearnley , Sven Schewe

We introduce the first program synthesis engine implemented inside an SMT solver. We present an approach that extracts solution functions from unsatisfiability proofs of the negated form of synthesis conjectures. We also discuss novel…

Logic in Computer Science · Computer Science 2015-06-24 Andrew Reynolds , Morgan Deters , Viktor Kuncak , Cesare Tinelli , Clark Barrett

Support vector machines (SVM) can classify data sets along highly non-linear decision boundaries because of the kernel-trick. This expressiveness comes at a price: During test-time, the SVM classifier needs to compute the kernel…

Machine Learning · Computer Science 2015-02-03 Zhixiang Xu , Jacob R. Gardner , Stephen Tyree , Kilian Q. Weinberger

Summary: More sophisticated models are needed to address problems in bioscience, synthetic biology, and precision medicine. To help facilitate the collaboration needed for such models, the community developed the Simulation Experiment…

We present \synver{}, a novel synthesis and verification framework for C programs, that deploys a Large Language Model (LLM) to search for a candidate program that satisfies the given specification. Our key idea is to impose syntactic and…

Programming Languages · Computer Science 2025-10-21 Prasita Mukherjee , Benjamin Delaware