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This paper presents a technique, named STLCG, to compute the quantitative semantics of Signal Temporal Logic (STL) formulas using computation graphs. STLCG provides a platform which enables the incorporation of logical specifications into…

Systems and Control · Electrical Eng. & Systems 2021-12-28 Karen Leung , Nikos Aréchiga , Marco Pavone

Traditional time series analysis has long relied on pattern recognition, trained on static and well-established benchmarks. However, in real-world settings -- where policies shift, human behavior adapts, and unexpected events unfold --…

Artificial Intelligence · Computer Science 2025-10-16 Xinlei Wang , Mingtian Tan , Jing Qiu , Junhua Zhao , Jinjin Gu

Logic-based machine learning aims to learn general, interpretable knowledge in a data-efficient manner. However, labelled data must be specified in a structured logical form. To address this limitation, we propose a neural-symbolic learning…

Machine Learning · Computer Science 2023-01-06 Daniel Cunnington , Mark Law , Alessandra Russo , Jorge Lobo

Signal Temporal Logic (STL) is a convenient formalism to express bounded horizon properties of autonomous critical systems. STL extends LTL to real-valued signals and associates a non-singleton bound interval to each temporal operators. In…

Logic in Computer Science · Computer Science 2023-11-17 Céline Bellanger , Pierre-Loïc Garoche , Matthieu Martel , Célia Picard

Effectively translating between natural language (NL) and formal logics like Linear Temporal Logic (LTL) requires expertise that limits formal verification's reach in safety-critical development. Template-based approaches sacrifice…

Artificial Intelligence · Computer Science 2026-05-25 Paapa Kwesi Quansah , Ernest Bonnah

Time series forecasting plays a significant role in finance, energy, meteorology, and IoT applications. Recent studies have leveraged the generalization capabilities of large language models (LLMs) to adapt to time series forecasting,…

Machine Learning · Computer Science 2026-05-12 Hao Liu , Xiaoxing Zhang , Chun Yang , Xiaobin Zhu

This paper presents Non-Axiomatic Term Logic (NATL) as a theoretical computational framework of humanlike symbolic reasoning in artificial intelligence. NATL unites a discrete syntactic system inspired from Aristotle's term logic and a…

Artificial Intelligence · Computer Science 2022-11-23 Kotaro Funakoshi

Signal temporal logic (STL) is an expressive language to specify time-bound real-world robotic tasks and safety specifications. Recently, there has been an interest in learning optimal policies to satisfy STL specifications via…

Machine Learning · Computer Science 2020-02-19 Harish Venkataraman , Derya Aksaray , Peter Seiler

Deep learning methods are powerful tools in classifying multivariate time series data. Despite their high performance, these methods are hard to interpret, which diminishes their applications in high-risk domains such as healthcare. In this…

Machine Learning · Computer Science 2026-05-11 Bhavesh Kalisetti , Vincent Wang , Gaurav R. Ghosal , Maryam Bijanzadeh , Reza Abbasi-Asl

Neurosymbolic approaches can add robustness to opaque neural systems by incorporating explainable symbolic representations. However, previous approaches have not used formal logic to contextualize queries to and validate outputs of large…

Computation and Language · Computer Science 2024-09-19 Priyesh Vakharia , Abigail Kufeldt , Max Meyers , Ian Lane , Leilani Gilpin

Uncovering hidden symbolic laws from time series data, as an aspiration dating back to Kepler's discovery of planetary motion, remains a core challenge in scientific discovery and artificial intelligence. While Large Language Models show…

Artificial Intelligence · Computer Science 2026-04-27 Zewen Liu , Juntong Ni , Xianfeng Tang , Max S. Y. Lau , Qi He , Wenpeng Yin , Wei Jin

Signal Temporal Logic (STL) is a widely adopted specification language in cyber-physical systems for expressing critical temporal requirements, such as safety conditions and response time. However, STL's expressivity is not sufficient to…

Logic in Computer Science · Computer Science 2025-04-15 Hongkai Chen , Zeyu Zhang , Shouvik Roy , Ezio Bartocci , Scott A. Smolka , Scott D. Stoller , Shan Lin

We address the problem of learning human-interpretable descriptions of a complex system from a finite set of positive and negative examples of its behavior. In contrast to most of the recent work in this area, which focuses on descriptions…

Machine Learning · Computer Science 2020-02-11 Rajarshi Roy , Dana Fisman , Daniel Neider

Our goal is to $\textit{efficiently}$ discover a compact set of temporal logic rules to explain irregular events of interest. We introduce a neural-symbolic rule induction framework within the temporal point process model. The negative…

Machine Learning · Computer Science 2024-06-07 Yang Yang , Chao Yang , Boyang Li , Yinghao Fu , Shuang Li

Recently deep reinforcement learning has achieved tremendous success in wide ranges of applications. However, it notoriously lacks data-efficiency and interpretability. Data-efficiency is important as interacting with the environment is…

Machine Learning · Computer Science 2021-06-23 Duo Xu , Faramarz Fekri

Time series anomaly detection is critical for supply chain management to take proactive operations, but faces challenges: classical unsupervised anomaly detection based on exploiting data patterns often yields results misaligned with…

Machine Learning · Computer Science 2026-01-28 Haoting Zhang , Shekhar Jain

The reasoning capabilities of large language models (LLMs) have significantly advanced their performance by enabling in-depth understanding of diverse tasks. With growing interest in applying LLMs to the time series domain, this has proven…

Artificial Intelligence · Computer Science 2025-06-03 Jiahui Zhou , Dan Li , Lin Li , Zhuomin Chen , Shunyu Wu , Haozheng Ye , Jian Lou , Costas J. Spanos

Large Language Models (LLMs) have demonstrated impressive progress in complex reasoning tasks, largely driven by the Chain-of-Thought (CoT) paradigm, which decomposes difficult problems into intermediate steps. However, CoT reasoning…

Symbolic Computation · Computer Science 2026-05-26 Rui Wang , Zeming Wei , Yihao Zhang , Xiaokun Luan

We present team semantics for two of the most important linear and branching time specification languages, Linear Temporal Logic (LTL) and Computation Tree Logic (CTL). With team semantics, LTL is able to express hyperproperties, which have…

Logic in Computer Science · Computer Science 2025-10-14 Andreas Krebs , Arne Meier , Jonni Virtema , Martin Zimmermann

We propose a Reinforcement Learning (RL) based control design framework for handling complex tasks. The approach extends the concept of Reward Machines (RM) with Signal Temporal Logic (STL) formulas that can be used for event generation.…

Artificial Intelligence · Computer Science 2026-04-17 Ana María Gómez Ruiz , Thao Dang , Alexandre Donzé