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Incremental learning from non-stationary data poses special challenges to the field of machine learning. Although new algorithms have been developed for this, assessment of results and comparison of behaviors are still open problems, mainly…

Machine Learning · Computer Science 2018-06-19 Alejandro Cervantes , Christian Gagné , Pedro Isasi , Marc Parizeau

Noisy data, non-convex objectives, model misspecification, and numerical instability can all cause undesired behaviors in machine learning systems. As a result, detecting actual implementation errors can be extremely difficult. We…

Software Engineering · Computer Science 2017-06-28 Daniel Selsam , Percy Liang , David L. Dill

ESBMC implements many state-of-the-art techniques for model checking. We report on new and improved features that allow us to obtain verification results for previously unsupported programs and properties. ESBMC employs a new static…

We introduce a new theorem prover for classical higher-order logic named auto2. The prover is designed to make use of human-specified heuristics when searching for proofs. The core algorithm is a best-first search through the space of…

Logic in Computer Science · Computer Science 2016-08-30 Bohua Zhan

Ethereum smart contracts are distributed programs running on top of the Ethereum blockchain. Since program flaws can cause significant monetary losses and can hardly be fixed due to the immutable nature of the blockchain, there is a strong…

Cryptography and Security · Computer Science 2021-01-15 Clara Schneidewind , Markus Scherer , Matteo Maffei

In this paper, we present a novel marriage of static and dynamic analysis. Given a large code base with many functions and a mature test suite, we propose using static analysis to find functions 1) with assertions or other evident…

Software Engineering · Computer Science 2016-09-22 Mohammad Amin Alipour , Alex Groce , Chaoqiang Zhang , Anahita Sanadaji , Gokul Caushik

While slow-thinking large language models (LLMs) exhibit reflection-like reasoning, commonly referred to as the "aha moment:, their ability to generate informative critiques and refine prior solutions remains limited. In this paper, we…

Computation and Language · Computer Science 2025-10-03 Xin Xu , Tianhao Chen , Fan Zhang , Wanlong Liu , Pengxiang Li , Ajay Kumar Jaiswal , Yuchen Yan , Jishan Hu , Yang Wang , Hao Chen , Shiwei Liu , Shizhe Diao , Can Yang , Lu Yin

Test or prove? These two approaches to software verification have long been presented as opposites. One is dynamic, the other static: a test executes the program, a proof only analyzes the program text. A different perspective is emerging,…

Software Engineering · Computer Science 2026-02-10 Li Huang , Bertrand Meyer , Manuel Oriol

This dissertation introduces executable refinement types, which refine structural types by semi-decidable predicates, and establishes their metatheory and accompanying implementation techniques. These results are useful for undecidable type…

Programming Languages · Computer Science 2014-03-14 Kenneth Knowles

Agentic theorem provers often introduce intermediate lemmas, proof sketches, or subgoal decompositions before returning to tactic-level search. This can look like an expensive detour: if proving lemmas is itself hard, why should a learned…

Machine Learning · Computer Science 2026-05-11 Sho Sonoda , Shunta Akiyama , Yuya Uezato

The geometry automated theorem proving area distinguishes itself by a large number of specific methods and implementations, different approaches (synthetic, algebraic, semi-synthetic) and different goals and applications (from research in…

Artificial Intelligence · Computer Science 2020-03-02 Nuno Baeta , Pedro Quaresma , Zoltán Kovács

Auto-active verifiers provide a level of automation intermediate between fully automatic and interactive: users supply code with annotations as input while benefiting from a high level of automation in the back-end. This paper presents…

Logic in Computer Science · Computer Science 2015-09-01 Julian Tschannen , Carlo A. Furia , Martin Nordio , Nadia Polikarpova

Combining a standard proof search method, such as resolution or tableaux, and rewriting is a powerful way to cut off search space in automated theorem proving, but proving the completeness of such combined methods may be challenging. It may…

Logic in Computer Science · Computer Science 2023-06-02 Gilles Dowek

Static verification provides strong correctness guarantees for code; however, fully specifying programs for static verification is a complex, burdensome process for users. Gradual verification was introduced to make this process easier by…

Programming Languages · Computer Science 2025-07-21 Priyam Gupta

To be usable in practice, interactive theorem provers need to provide convenient and efficient means of writing expressions, definitions, and proofs. This involves inferring information that is often left implicit in an ordinary…

Logic in Computer Science · Computer Science 2015-12-18 Leonardo de Moura , Jeremy Avigad , Soonho Kong , Cody Roux

The problem of mechanically formalizing and proving metatheoretic properties of programming language calculi, type systems, operational semantics, and related formal systems has received considerable attention recently. However, the dual…

Programming Languages · Computer Science 2017-05-29 James Cheney , Alberto Momigliano

The demand for synthetic data in mathematical reasoning has increased due to its potential to enhance the mathematical capabilities of large language models (LLMs). However, ensuring the validity of intermediate reasoning steps remains a…

Artificial Intelligence · Computer Science 2026-01-19 Joshua Ong Jun Leang , Giwon Hong , Wenda Li , Shay B. Cohen

When optimizing a thread in a concurrent program (either done manually or by the compiler), it must be guaranteed that the resulting thread is a refinement of the original thread. Most theories of valid optimizations are formulated in terms…

Programming Languages · Computer Science 2015-10-27 Daniel Poetzl , Daniel Kroening

Grammar checking is the task of detection and correction of grammatical errors in the text. English is the dominating language in the field of science and technology. Therefore, the non-native English speakers must be able to use correct…

Computation and Language · Computer Science 2018-04-03 Madhvi Soni , Jitendra Singh Thakur

Traditional automated theorem provers have relied on manually tuned heuristics to guide how they perform proof search. Recently, however, there has been a surge of interest in the design of learning mechanisms that can be integrated into…

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