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LLMs can perform multi-step reasoning through Chain-of-Thought (CoT), but they cannot reliably verify their own logic. Even when they reach correct answers, the underlying reasoning may be flawed, undermining trust in high-stakes scenarios.…

Artificial Intelligence · Computer Science 2025-11-07 Yu Feng , Nathaniel Weir , Kaj Bostrom , Sam Bayless , Darion Cassel , Sapana Chaudhary , Benjamin Kiesl-Reiter , Huzefa Rangwala

Existing approaches to synthesize reactive systems from declarative specifications mostly rely on Binary Decision Diagrams (BDDs), inheriting their scalability issues. We present novel algorithms for safety specifications that use decision…

Logic in Computer Science · Computer Science 2016-04-22 Roderick Bloem , Uwe Egly , Patrick Klampfl , Robert Könighofer , Florian Lonsing , Martina Seidl

Proof autoformalization, the task of translating natural language theorems and proofs into machine-verifiable code, is a critical step for integrating large language models into rigorous mathematical workflows. Current approaches focus on…

Artificial Intelligence · Computer Science 2025-10-21 Rafael Cabral , Tuan Manh Do , Xuejun Yu , Wai Ming Tai , Zijin Feng , Xin Shen

Autoformalization is the process of automatically translating from natural language mathematics to formal specifications and proofs. A successful autoformalization system could advance the fields of formal verification, program synthesis,…

Machine Learning · Computer Science 2022-05-26 Yuhuai Wu , Albert Q. Jiang , Wenda Li , Markus N. Rabe , Charles Staats , Mateja Jamnik , Christian Szegedy

Many aspects of human reasoning, including language, require learning rules from very little data. Humans can do this, often learning systematic rules from very few examples, and combining these rules to form compositional rule-based…

Artificial Intelligence · Computer Science 2020-10-26 Maxwell I. Nye , Armando Solar-Lezama , Joshua B. Tenenbaum , Brenden M. Lake

Search typically relies on keyword queries, but these are often semantically ambiguous. We propose to overcome this by offering users natural language questions, based on their keyword queries, to disambiguate their intent. This…

Information Retrieval · Computer Science 2018-07-18 Heng Ding , Krisztian Balog

Large language models possess impressive capabilities in generating programs (e.g., Python) from natural language descriptions to execute robotic tasks. However, these generated programs often contain errors that violate externally given…

Artificial Intelligence · Computer Science 2025-11-10 Yunhao Yang , Neel P. Bhatt , William Ward , Zichao Hu , Joydeep Biswas , Ufuk Topcu

Pre-trained Large Language Models (LLMs) are beginning to dominate the discourse around automatic code generation with natural language specifications. In contrast, the best-performing synthesizers in the domain of formal synthesis with…

Artificial Intelligence · Computer Science 2024-05-28 Yixuan Li , Julian Parsert , Elizabeth Polgreen

Designing tests to evaluate if a given autonomous system satisfies complex specifications is challenging due to the complexity of these systems. This work proposes a flow-based approach for reactive test synthesis from temporal logic…

Formal Languages and Automata Theory · Computer Science 2024-04-16 Josefine B. Graebener , Apurva S. Badithela , Denizalp Goktas , Wyatt Ubellacker , Eric V. Mazumdar , Aaron D. Ames , Richard M. Murray

Formal mathematical reasoning remains a critical challenge for artificial intelligence, hindered by limitations of existing benchmarks in scope and scale. To address this, we present FormalMATH, a large-scale Lean4 benchmark comprising…

The advancement in large language models (LLMs) and large vision models has fueled the rapid progress in multi-modal vision-language reasoning capabilities. However, existing vision-language models (VLMs) remain challenged by compositional…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Yichang Xu , Gaowen Liu , Ramana Rao Kompella , Sihao Hu , Fatih Ilhan , Selim Furkan Tekin , Zachary Yahn , Ling Liu

Synthesis is the automatic construction of a system from its specification. In classical synthesis algorithms it is always assumed that the system is "constructed from scratch" rather than composed from reusable components. This, of course,…

Logic in Computer Science · Computer Science 2011-11-10 Yoad Lustig , Moshe Vardi

A critical question about Large Language Models (LLMs) is whether their apparent deficiency in mathematical reasoning is inherent, or merely a result of insufficient exposure to high-quality mathematical data. To explore this, we developed…

Artificial Intelligence · Computer Science 2024-12-09 Zenan Li , Zhi Zhou , Yuan Yao , Yu-Feng Li , Chun Cao , Fan Yang , Xian Zhang , Xiaoxing Ma

This paper presents a method for synthesizing a reactive program which coordinates the actions of a group of other reactive programs, so that the combined system satisfies a temporal specification of its desired long-term behavior.…

Programming Languages · Computer Science 2019-11-12 Suguman Bansal , Kedar S. Namjoshi , Yaniv Sa'ar

Software testing is an important issue in software development process to ensure higher quality on the products. Formal methods has been promising on testing reactive systems, specially critical systems, where accuracy is mandatory since…

Software Engineering · Computer Science 2019-08-13 Camila Sonada Gomes , Adilson Luiz Bonifacio

Despite the syntactic fluency of Large Language Models (LLMs), ensuring their logical correctness in high-stakes domains remains a fundamental challenge. We present a neurosymbolic framework that combines LLMs with SMT solvers to produce…

Computation and Language · Computer Science 2026-05-05 Vikash Singh , Darion Cassel , Nathaniel Weir , Nick Feng , Sam Bayless

Formal verification has emerged as a powerful approach to ensure the safety and reliability of deep neural networks. However, current verification tools are limited to only a handful of properties that can be expressed as first-order…

Artificial Intelligence · Computer Science 2022-03-03 Xuan Xie , Kristian Kersting , Daniel Neider

Large language models (LLMs) have demonstrated impressive capabilities in generating software code for high-level programming languages such as Python and C++. However, their application to hardware description languages, such as Verilog,…

Programming Languages · Computer Science 2026-03-13 Yan Tan , Xiangchen Meng , Zijun Jiang , Yangdi Lyu

Large language models excel on static benchmarks, but their ability as self-learning agents in dynamic environments remains unclear. We evaluate three prompting strategies: self-reflection, heuristic mutation, and planning across dynamic…

Artificial Intelligence · Computer Science 2025-08-12 Annie Wong , Thomas Bäck , Aske Plaat , Niki van Stein , Anna V. Kononova

Large Language Models (LLMs) have been applied to various hardware design tasks, including Verilog code generation, EDA tool scripting, and RTL bug fixing. Despite this extensive exploration, LLMs are yet to be used for the task of…

Hardware Architecture · Computer Science 2025-01-28 Manar Abdelatty , Jingxiao Ma , Sherief Reda
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