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DatalogMTL is a powerful rule-based language for temporal reasoning. Due to its high expressive power and flexible modeling capabilities, it is suitable for a wide range of applications, including tasks from industrial and financial…

Artificial Intelligence · Computer Science 2025-12-16 Shaoyu Wang , Kaiyue Zhao , Dongliang Wei , Przemysław Andrzej Wałęga , Dingmin Wang , Hongming Cai , Pan Hu

Program logics are a powerful formal method in the context of program verification. Can we develop a counterpart of program logics in the context of language verification? This paper proposes language logics, which allow for statements of…

Programming Languages · Computer Science 2024-08-06 Matteo Cimini

Mission-time Linear Temporal Logic (MLTL), a widely used subset of popular specification logics like STL and MTL, is often used to model and verify real world systems in safety-critical contexts. As the results of formal verification are…

Logic in Computer Science · Computer Science 2025-01-30 Zili Wang , Katherine Kosaian , Kristin Yvonne Rozier

A task of interest in machine learning (ML) is that of ascribing explanations to the predictions made by ML models. Furthermore, in domains deemed high risk, the rigor of explanations is paramount. Indeed, incorrect explanations can and…

Artificial Intelligence · Computer Science 2025-07-11 Mohamed Siala , Jordi Planes , Joao Marques-Silva

Ensuring compliance with international data protection standards for privacy and data security is a crucial but complex task, often requiring substantial legal expertise. This paper introduces LegiLM, a novel legal language model…

Computation and Language · Computer Science 2024-09-24 Linkai Zhu , Lu Yang , Chaofan Li , Shanwen Hu , Lu Liu , Bin Yin

We study a synthetic corpus based approach for language models (LMs) to acquire logical deductive reasoning ability. The previous studies generated deduction examples using specific sets of deduction rules. However, these rules were limited…

Artificial Intelligence · Computer Science 2023-11-15 Terufumi Morishita , Gaku Morio , Atsuki Yamaguchi , Yasuhiro Sogawa

Normative texts are documents based on the deontic notions of obligation, permission, and prohibition. Our goal is to model such texts using the C-O Diagram formalism, making them amenable to formal analysis, in particular verifying that a…

Computation and Language · Computer Science 2016-07-07 John J. Camilleri , Normunds Gruzitis , Gerardo Schneider

Nonmonotonic logics are usually characterized by the presence of some notion of 'conditional' that fails monotonicity. Research on nonmonotonic logics is therefore largely concerned with the defeasibility of argument forms and the…

Logic in Computer Science · Computer Science 2013-10-29 Katarina Britz , Ivan Varzinczak

Autoformalization plays a crucial role in formal mathematical reasoning by enabling the automatic translation of natural language statements into formal languages. While recent advances using large language models (LLMs) have shown…

Computation and Language · Computer Science 2025-06-13 Lan Zhang , Marco Valentino , Andre Freitas

Autoformalization has emerged as a term referring to the automation of formalization - specifically, the formalization of mathematics using interactive theorem provers (proof assistants). Its rapid development has been driven by progress in…

Artificial Intelligence · Computer Science 2025-12-16 Agnieszka Mensfelt , David Tena Cucala , Santiago Franco , Angeliki Koutsoukou-Argyraki , Vince Trencsenyi , Kostas Stathis

In various provers and deductive verification tools, logical transformations are used extensively in order to reduce a proof task into a number of simpler tasks. Logical transformations are often part of the trusted base of such tools. In…

Logic in Computer Science · Computer Science 2021-07-07 Quentin Garchery

Logical reasoning with large language models (LLMs) has received growing attention. One mainstream approach translates natural language into formal logic and then applies symbolic solvers for deduction. While effective in many tasks, these…

Computation and Language · Computer Science 2026-02-02 Qingchuan Li , Jiatong Li , Zirui Liu , Mingyue Cheng , Yuting Zeng , Qi Liu , Tongxuan Liu

We are currently unable to specify human goals and societal values in a way that reliably directs AI behavior. Law-making and legal interpretation form a computational engine that converts opaque human values into legible directives. "Law…

Computers and Society · Computer Science 2023-05-17 John J. Nay

In order to work with mathematical content in computer systems, it is necessary to represent it in formal languages. Ideally, these are supported by tools that verify the correctness of the content, allow computing with it, and produce…

Logic in Computer Science · Computer Science 2020-05-27 Cezary Kaliszyk , Florian Rabe

Autoformalization, the task of automatically translating natural language descriptions into a formal language, poses a significant challenge across various domains, especially in mathematics. Recent advancements in large language models…

Computation and Language · Computer Science 2024-12-09 Zenan Li , Yifan Wu , Zhaoyu Li , Xinming Wei , Xian Zhang , Fan Yang , Xiaoxing Ma

Law at large underpins modern society, codifying and governing many aspects of citizens' daily lives. Oftentimes, law is subject to interpretation, debate and challenges throughout various courts and jurisdictions. But in some other areas,…

Programming Languages · Computer Science 2021-07-06 Denis Merigoux , Nicolas Chataing , Jonathan Protzenko

Recent advancements on Large Language Models (LLMs) enable AI Agents to automatically generate and execute multi-step plans to solve complex tasks. However, since LLM's content generation process is hardly controllable, current LLM-based…

Machine Learning · Computer Science 2024-08-13 Zelong Li , Wenyue Hua , Hao Wang , He Zhu , Yongfeng Zhang

It is a long-standing desire of industry and research to automate the software development and testing process as much as possible. In this process, requirements engineering (RE) plays a fundamental role for all other steps that build on…

Software Engineering · Computer Science 2023-09-26 Viju Sudhi , Libin Kutty , Robin Gröpler

Interpretability provides a means for humans to verify aspects of machine learning (ML) models and empower human+ML teaming in situations where the task cannot be fully automated. Different contexts require explanations with different…

Machine Learning · Computer Science 2024-07-15 Zixi Chen , Varshini Subhash , Marton Havasi , Weiwei Pan , Finale Doshi-Velez

This paper proposes a knowledge-based legal document assembly method that uses a machine-readable representation of knowledge of legal professionals. This knowledgebase has two components - the formal knowledge of legal norms represented as…

Software Engineering · Computer Science 2020-09-15 Marko Marković , Stevan Gostojić