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This paper shows equivalence of several versions of applicative similarity and contextual approximation, and hence also of applicative bisimilarity and contextual equivalence, in LR, the deterministic call-by-need lambda calculus with…

Logic in Computer Science · Computer Science 2019-03-14 Manfred Schmidt-Schauß , David Sabel , Elena Machkasova

The large language models (LLMs) might produce a persuasive argument within mathematical and logical fields, although such argument often includes some minor missteps, including the entire omission of side conditions, invalid inference…

Artificial Intelligence · Computer Science 2026-04-09 Kranthi Kommuru , Kunal Khanvilkar , Gaurav Parekh

Emergent Language (EL) focuses on the emergence of communication among artificial agents. Although symbolic communication channels more closely mirror the discrete nature of human language, learning such protocols remains fundamentally…

Computation and Language · Computer Science 2026-02-24 Mohammad Mahdi Samiei Paqaleh , Mehdi Jamalkhah , Mahdieh Soleymani Baghshah

Large Language Models (LLMs) are increasingly integrated into the software engineering ecosystem. Their test-time compute (TTC) reasoning capabilities show significant potential for understanding program logic and semantics beyond mere…

Computation and Language · Computer Science 2025-10-22 Yifeng He , Luning Yang , Christopher Castro Gaw Gonzalo , Hao Chen

Large Language Models (LLMs) have demonstrated remarkable performance in various NLP tasks, including semantic parsing, which translates natural language into formal code representations. However, the reverse process, translating code into…

Computation and Language · Computer Science 2025-02-11 Ali Al-Lawati , Jason Lucas , Prasenjit Mitra

Formal theorem proving, a field at the intersection of mathematics and computer science, has seen renewed interest with advancements in large language models (LLMs). This paper introduces SubgoalXL, a novel approach that synergizes…

Machine Learning · Computer Science 2024-08-22 Xueliang Zhao , Lin Zheng , Haige Bo , Changran Hu , Urmish Thakker , Lingpeng Kong

We introduce a novel framework for evaluating the alignment between natural language plans and their expected behavior by converting them into Kripke structures and Linear Temporal Logic (LTL) using Large Language Models (LLMs) and…

Artificial Intelligence · Computer Science 2025-11-25 Keshav Ramani , Vali Tawosi , Salwa Alamir , Daniel Borrajo

Reinforcement learning (RL) has emerged as an effective paradigm for improving the reasoning capability of vision-language models (VLMs). However, RL-based optimization typically depends on costly high-quality annotations that are difficult…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Lin Qiu , Hanqing Zeng , Yao Liu , Bingjun Sun , Guangdeng Liao , Ji Liu

Modern large language models (LLMs) show promising progress in formalizing informal mathematics into machine-verifiable theorems. However, these methods still face bottlenecks due to the limited quantity and quality of multilingual parallel…

Computation and Language · Computer Science 2025-07-14 Jiyao Zhang , Chengli Zhong , Hui Xu , Qige Li , Yi Zhou

A recent framework of relativized hyperequivalence of programs offers a unifying generalization of strong and uniform equivalence. It seems to be especially well suited for applications in program optimization and modular programming due to…

Artificial Intelligence · Computer Science 2009-07-24 Miroslaw Truszczyński , Stefan Woltran

Existing Large Language Model (LLM) approaches to SystemVerilog Assertion (SVA) generation primarily focus on syntactic validity and formal verification outcomes, while semantic alignment between generated assertions and natural language…

Artificial Intelligence · Computer Science 2026-05-26 Jaime Rafael Imperial , Hao Zheng

Recent advances in Large Language Models (LLMs) have demonstrated remarkable general reasoning capabilities. However, systematically evaluating and enhancing these reasoning capabilities is challenging due to the lack of controllable and…

Artificial Intelligence · Computer Science 2025-09-04 Yanxiao Zhao , Yaqian Li , Zihao Bo , Rinyoichi Takezoe , Haojia Hui , Mo Guang , Lei Ren , Xiaolin Qin , Kaiwen Long

We introduce LLM CHESS, an evaluation framework designed to probe the generalization of reasoning and instruction-following abilities in large language models (LLMs) through extended agentic interaction in the domain of chess. We rank over…

Artificial Intelligence · Computer Science 2025-12-02 Sai Kolasani , Maxim Saplin , Nicholas Crispino , Kyle Montgomery , Jared Quincy Davis , Matei Zaharia , Chi Wang , Chenguang Wang

A number of introductory textbooks for Haskell use calculations right from the start to give the reader insight into the evaluation of expressions and the behavior of functional programs. Many programming concepts that are important in the…

Computers and Society · Computer Science 2014-12-17 Tim Olmer , Bastiaan Heeren , Johan Jeuring

Evaluating competing systems in a comparable way, i.e., benchmarking them, is an undeniable pillar of the scientific method. However, system performance is often summarized via a small number of metrics. The analysis of the evaluation…

Machine Learning · Computer Science 2025-10-24 Quannian Zhang , Michael Röder , Nikit Srivastava , N'Dah Jean Kouagou , Axel-Cyrille Ngonga Ngomo

Improving the code generation capabilities of large language models (LLMs) typically relies on supervised fine-tuning or preference optimization, both of which require costly external resources such as powerful teacher models or reliable…

Software Engineering · Computer Science 2026-04-01 Huan Zhang , Wei Cheng , Wei Hu

Formal verification guarantees proof validity but not formalization faithfulness. For natural-language logical reasoning, where models construct axiom systems from scratch without library constraints, this gap between valid proofs and…

Artificial Intelligence · Computer Science 2026-04-22 Kyuhee Kim , Auguste Poiroux , Antoine Bosselut

While LLM-based agents are able to tackle a wide variety of code reasoning questions, the answers are not always correct. This prevents the agent from being useful in situations where high precision is desired: (1) helping a software…

Software Engineering · Computer Science 2025-11-17 Meghana Sistla , Gogul Balakrishnan , Pat Rondon , José Cambronero , Michele Tufano , Satish Chandra

Informal mathematics has been central to modern large language model (LLM) reasoning, offering flexibility and enabling efficient construction of arguments. However, purely informal reasoning is prone to logical gaps and subtle errors that…

Artificial Intelligence · Computer Science 2025-11-25 Azim Ospanov , Zijin Feng , Jiacheng Sun , Haoli Bai , Xin Shen , Farzan Farnia

Liquid Haskell is an extension to the Haskell programming language that adds support for refinement types: data types augmented with SMT-decidable logical predicates that refine the set of values that can inhabit a type. Furthermore, Liquid…

Programming Languages · Computer Science 2021-10-12 Patrick Redmond , Gan Shen , Lindsey Kuper
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