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We present an automated compositional program verification technique for safety properties based on conditional inductive invariants. For a given program part (e.g., a single loop) and a postcondition $\varphi$, we show how to, using a…

Logic in Computer Science · Computer Science 2015-08-05 Marc Brockschmidt , Daniel Larraz , Albert Oliveras , Enric Rodriguez-Carbonell , Albert Rubio

We apply proof-theoretic techniques in answer Set Programming. The main results include: 1. A characterization of continuity properties of Gelfond-Lifschitz operator for logic program. 2. A propositional characterization of stable models of…

Artificial Intelligence · Computer Science 2010-01-11 V. W. Marek , J. B. Remmel

Data engineers increasingly use domain-specific languages (DSLs) to generate the code for data pipelines. Such DSLs are often embedded in Python. Unfortunately, there are challenges in debugging the generation of data pipelines: an error in…

Programming Languages · Computer Science 2025-08-21 Tianyu Chen , Darshal Shetty , Jeremy G. Siek , Chao-Hong Chen , Weixi Ma , Arnaud Venet , Rocky Liu

We present new techniques for synthesizing programs through sequences of mutations. Among these are (1) a method of local scoring assigning a score to each expression in a program, allowing us to more precisely identify buggy code, (2)…

Neural and Evolutionary Computing · Computer Science 2023-01-26 Max Vistrup

We propose a sound and complete proof rule ProbTA for quantitative analysis of violation probability of probabilistic programs. Our approach extends the technique of trace abstraction with probability in the control-flow randomness style,…

Programming Languages · Computer Science 2022-03-10 Guanyan Li , Zhilei Han , Fei He

Runtime efficiency and termination are crucial properties in the studies of program verification. Instead of dealing with these issues in an ad hoc manner, it would be useful to develop a robust framework in which such properties are…

Programming Languages · Computer Science 2026-04-06 Weijun Chen , Yuxi Fu , Huan Long

Traditional automated theorem provers for first-order logic depend on speed-optimized search and many handcrafted heuristics that are designed to work best over a wide range of domains. Machine learning approaches in literature either…

Artificial Intelligence · Computer Science 2021-12-21 Eser Aygün , Laurent Orseau , Ankit Anand , Xavier Glorot , Vlad Firoiu , Lei M. Zhang , Doina Precup , Shibl Mourad

High-quality open-source text-to-image models have lowered the threshold for obtaining photorealistic images significantly, but also face potential risks of misuse. Specifically, suspects may use synthetic data generated by these generative…

Computer Vision and Pattern Recognition · Computer Science 2025-03-13 Yuechen Xie , Jie Song , Huiqiong Wang , Mingli Song

We show that abstract interpretation-based static program analysis can be made efficient and precise enough to formally verify a class of properties for a family of large programs with few or no false alarms. This is achieved by refinement…

Programming Languages · Computer Science 2016-08-14 Bruno Blanchet , Patrick Cousot , Radhia Cousot , Jerôme Feret , Laurent Mauborgne , Antoine Miné , David Monniaux , Xavier Rival

Model selection on validation data is an essential step in machine learning. While the mixing of data between training and validation is considered taboo, practitioners often violate it to increase performance. Here, we offer a simple,…

Machine Learning · Statistics 2018-02-19 Guy Tennenholtz , Tom Zahavy , Shie Mannor

As autonomy becomes prevalent in many applications, ranging from recommendation systems to fully autonomous vehicles, there is an increased need to provide safety guarantees for such systems. The problem is difficult, as these are large,…

Artificial Intelligence · Computer Science 2018-10-22 Corina S. Pasareanu , Divya Gopinath , Huafeng Yu

We further develop the theoretical framework of proof mining, a program in mathematical logic that seeks to quantify and extract computational information from prima facie `non-computational' proofs from the mainstream mathematical…

Logic · Mathematics 2025-07-15 Nicholas Pischke

Interpolation-based techniques have been widely and successfully applied in the verification of hardware and software, e.g., in bounded-model check- ing, CEGAR, SMT, etc., whose hardest part is how to synthesize interpolants. Various work…

Logic in Computer Science · Computer Science 2013-03-05 Liyun Dai , Bican Xia , Naijun Zhan

Gradual verification soundly combines static checking and dynamic checking to provide an incremental approach for software verification. With gradual verification, programs can be partially specified first, and then the full specification…

Programming Languages · Computer Science 2025-12-01 Doruk Alp Mutlu

Recent advances in large language models (LLMs) have improved their performance on coding benchmarks. However, improvement is plateauing due to the exhaustion of readily available high-quality data. Prior work has shown the potential of…

Software Engineering · Computer Science 2026-03-04 Zi Lin , Sheng Shen , Ilia Kulikov , Jingbo Shang , Jason Weston , Yixin Nie

Identifying and selecting high-quality Metamorphic Relations (MRs) is a challenge in Metamorphic Testing (MT). While some techniques for automatically selecting MRs have been proposed, they are either domain-specific or rely on strict…

Software Engineering · Computer Science 2024-01-05 Alejandra Duque-Torres , Dietmar Pfahl , Claus Klammer , Stefan Fischer

We propose an automated verification technique for hypersafety properties, which express sets of valid interrelations between multiple finite runs of a program. The key observation is that constructing a proof for a small representative set…

Programming Languages · Computer Science 2019-05-23 Azadeh Farzan , Anthony Vandikas

This paper attempts to address the question of how best to assure the correctness of saturation-based automated theorem provers using our experience developing the theorem prover Vampire. We describe the techniques we currently employ to…

Logic in Computer Science · Computer Science 2017-04-12 Giles Reger , Martin Suda , Andrei Voronkov

Shallow embeddings that use monads to represent effects are popular in proof-oriented languages because they are convenient for formal verification. Once shallowly embedded programs are verified, they are often extracted to mainstream…

Programming Languages · Computer Science 2026-03-31 Cezar-Constantin Andrici , Abigail Pribisova , Danel Ahman , Catalin Hritcu , Exequiel Rivas , Théo Winterhalter

We present a new program synthesis approach that combines an encoder-decoder based synthesis architecture with a differentiable program fixer. Our approach is inspired from the fact that human developers seldom get their program correct on…

Machine Learning · Statistics 2020-06-22 Matej Balog , Rishabh Singh , Petros Maniatis , Charles Sutton