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A loop invariant is a property of a loop that remains true before and after each execution of the loop. The identification of loop invariants is a critical step to support automated program safety assessment. Recent advancements in Large…

Software Engineering · Computer Science 2025-11-11 Mostafijur Rahman Akhond , Saikat Chakraborty , Gias Uddin

Detectability of failures of linear programming (LP) decoding and its potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the LP problem. In this paper, we make a…

Information Theory · Computer Science 2007-07-13 Mohammad H. Taghavi N. , Paul H. Siegel

In-context learning (ICL) enables large language models (LLMs) to adapt to new tasks without weight updates by learning from demonstration sequences. While ICL shows strong empirical performance, its internal representational mechanisms are…

Computation and Language · Computer Science 2025-10-07 Jiachen Jiang , Yuxin Dong , Jinxin Zhou , Zhihui Zhu

Program verification relies on loop invariants, yet automatically discovering strong invariants remains a long-standing challenge. We investigate whether large language models (LLMs) can accelerate program verification by generating useful…

Programming Languages · Computer Science 2026-04-03 Anjiang Wei , Tianran Sun , Tarun Suresh , Haoze Wu , Ke Wang , Alex Aiken

A well-established approach to reasoning about loops during program analysis is to capture the effect of a loop by extracting recurrences from the loop; these express relationships between the values of variables, or program properties such…

Logic in Computer Science · Computer Science 2021-09-13 Bishoksan Kafle , John P. Gallagher , Manuel V. Hermenegildo , Maximiliano Klemen , Pedro López-García , José F. Morales

This paper presents a scalable path- and context-sensitive data-dependence analysis. The key is to address the aliasing-path-explosion problem via a sparse, demand-driven, and fused approach that piggybacks the computation of pointer…

Programming Languages · Computer Science 2021-09-20 Peisen Yao , Jinguo Zhou , Xiao Xiao , Qingkai Shi , Rongxin Wu , Charles Zhang

Loop invariants are fundamental to reasoning about programs with loops. They establish properties about a given loop's behavior. When they additionally are inductive, they become useful for the task of formal verification that seeks to…

Verifying real-world programs often requires inferring loop invariants with nonlinear constraints. This is especially true in programs that perform many numerical operations, such as control systems for avionics or industrial plants.…

Software Engineering · Computer Science 2020-11-03 Jianan Yao , Gabriel Ryan , Justin Wong , Suman Jana , Ronghui Gu

Loop invariants play a very important role in proving correctness of programs. In this paper, we address the problem of generating invariants of polynomial loop programs. We present a new approach, for generating polynomial equation…

Symbolic Computation · Computer Science 2015-03-19 Bin Wu , Liyong Shen , Min Wu , Zhengfeng Yang , Zhenbing Zeng

Large vision-language models (LVLMs) employ multi-modal in-context learning (MM-ICL) to adapt to new tasks by leveraging demonstration examples. While increasing the number of demonstrations boosts performance, they incur significant…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Shin'ya Yamaguchi , Daiki Chijiwa , Tamao Sakao , Taku Hasegawa

Large language models (LLMs) excel at zero-shot inference but continue to struggle with complex, multi-step reasoning. Recent methods that augment LLMs with intermediate reasoning steps such as Chain of Thought (CoT) and Program of Thought…

Computation and Language · Computer Science 2025-10-28 Adam Stein , Neelay Velingker , Mayur Naik , Eric Wong

In-context learning (ICL) refers to the ability of a model to condition on a few in-context demonstrations (input-output examples of the underlying task) to generate the answer for a new query input, without updating parameters. Despite the…

Machine Learning · Computer Science 2023-12-01 Yongqiang Chen , Binghui Xie , Kaiwen Zhou , Bo Han , Yatao Bian , James Cheng

In program semantics and verification, reasoning about loops is complicated by the need to produce two separate mathematical arguments: an invariant, for functional properties (ignoring termination); and a variant, for termination (ignoring…

Programming Languages · Computer Science 2025-04-14 Bertrand Meyer

We introduce CoT-ICL Lab, a framework and methodology to generate synthetic tokenized datasets and systematically study chain-of-thought (CoT) in-context learning (ICL) in language models. CoT-ICL Lab allows fine grained control over the…

Computation and Language · Computer Science 2025-05-23 Vignesh Kothapalli , Hamed Firooz , Maziar Sanjabi

Component substitution has numerous practical applications and constitutes an active research topic. This paper proposes to enrich an existing component-based framework--a model with dynamic reconfigurations making the system evolve--with a…

Software Engineering · Computer Science 2014-08-10 Arnaud Lanoix , Olga Kouchnarenko

Detectability of failures of linear programming (LP) decoding and the potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the underlying LP problem. In this paper, we…

Information Theory · Computer Science 2007-07-13 Mohammad H. Taghavi , Paul H. Siegel

Error invariants are assertions that over-approximate the reachable program states at a given position in an error trace while only capturing states that will still lead to failure if execution of the trace is continued from that position.…

Software Engineering · Computer Science 2016-08-31 Andreas Holzer , Daniel Schwartz-Narbonne , Mitra Tabaei Befrouei , Georg Weissenbacher , Thomas Wies

Large language models (LLMs) have demonstrated impressive performance in various natural language processing tasks, yet their ability to perform multi-step logical reasoning remains an open challenge. Although Chain-of-Thought prompting has…

Context. Variability-intensive programs (program families) appear in many application areas and for many reasons today. Different family members, called variants, are derived by switching statically configurable options (features) on and…

Programming Languages · Computer Science 2017-02-01 Alexandru Florin Iosif-Lazar , Jean Melo , Aleksandar S. Dimovski , Claus Brabrand , Andrzej Wasowski

Software vulnerabilities are a serious and crucial concern. Typically, in a program or function consisting of hundreds or thousands of source code statements, there are only a few statements causing the corresponding vulnerabilities. Most…

Cryptography and Security · Computer Science 2024-06-13 Van Nguyen , Trung Le , Chakkrit Tantithamthavorn , Michael Fu , John Grundy , Hung Nguyen , Seyit Camtepe , Paul Quirk , Dinh Phung