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In the wake of the recent resurgence of the Datalog language of databases, together with its extensions for ontological reasoning settings, this work aims to bridge the gap between the theoretical studies of DatalogMTL (Datalog extended…

Databases · Computer Science 2025-06-11 Luigi Bellomarini , Livia Blasi , Markus Nissl , Emanuel Sallinger

The Planning Domain Definition Language (PDDL) is the state-of-the-art language for specifying planning problems in artificial intelligence research. Writing and maintaining these planning problems, however, can be time-consuming and error…

Human-Computer Interaction · Computer Science 2020-08-26 Volker Strobel , Alexandra Kirsch

Many planning applications involve complex relationships defined on high-dimensional, continuous variables. For example, robotic manipulation requires planning with kinematic, collision, visibility, and motion constraints involving robot…

Artificial Intelligence · Computer Science 2020-03-24 Caelan Reed Garrett , Tomás Lozano-Pérez , Leslie Pack Kaelbling

We present some techniques for planning in domains specified with the recent standard language PDDL2.1, supporting 'durative actions' and numerical quantities. These techniques are implemented in LPG, a domain-independent planner that took…

Artificial Intelligence · Computer Science 2011-06-28 A. Gerevini , A. Saetti , I. Serina

Pre-trained large language models (LLMs) show promise for robotic task planning but often struggle to guarantee correctness in long-horizon problems. Task and motion planning (TAMP) addresses this by grounding symbolic plans in low-level…

Robotics · Computer Science 2026-02-13 Jinbang Huang , Yixin Xiao , Zhanguang Zhang , Mark Coates , Jianye Hao , Yingxue Zhang

I comment on the PDDL 2.1 language and its use in the planning competition, focusing on the choices made for accommodating time and concurrency. I also discuss some methodological issues that have to do with the move toward more expressive…

Artificial Intelligence · Computer Science 2011-10-13 H. A. Geffner

We study the problem of generating plans for given natural language planning task requests. On one hand, LLMs excel at natural language processing but do not perform well on planning. On the other hand, classical planning tools excel at…

Computation and Language · Computer Science 2024-07-02 Sudhir Agarwal , Anu Sreepathy

The temporal logics LTLf+ and PPLTL+ have recently been proposed to express objectives over infinite traces. These logics are appealing because they match the expressive power of LTL on infinite traces while enabling efficient DFA-based…

Formal Languages and Automata Theory · Computer Science 2025-05-26 Giuseppe De Giacomo , Yong Li , Sven Schewe , Christoph Weinhuber , Pian Yu

In this paper, we propose Probabilistic discrete-time Projection Temporal Logic (PrPTL), which extends Projection Temporal Logic (PTL) with probability. To this end, some useful formulas are derived and some logic laws are given. Further,…

Logic in Computer Science · Computer Science 2015-03-17 Xiaoxiao Yang

As network traffic monitoring software for cybersecurity, malware detection, and other critical tasks becomes increasingly automated, the rate of alerts and supporting data gathered, as well as the complexity of the underlying model,…

Artificial Intelligence · Computer Science 2013-05-14 Kartik Talamadupula , Octavian Udrea , Anton Riabov , Anand Ranganathan

We introduce and analyze the problem of the compilation of decision models from a decision-theoretic perspective. The techniques described allow us to evaluate various configurations of compiled knowledge given the nature of evidential…

Artificial Intelligence · Computer Science 2013-04-08 David Heckerman , John S. Breese , Eric J. Horvitz

Planning in textual environments have been shown to be a long-standing challenge even for current models. A recent, promising line of work uses LLMs to generate a formal representation of the environment that can be solved by a symbolic…

Computation and Language · Computer Science 2024-08-12 Li Zhang , Peter Jansen , Tianyi Zhang , Peter Clark , Chris Callison-Burch , Niket Tandon

We continue the investigation of parameterized extensions of Linear Temporal Logic (LTL) that retain the attractive algorithmic properties of LTL: a polynomial space model checking algorithm and a doubly-exponential time algorithm for…

Logic in Computer Science · Computer Science 2016-01-15 Martin Zimmermann

We design temporal description logics suitable for reasoning about temporal conceptual data models and investigate their computational complexity. Our formalisms are based on DL-Lite logics with three types of concept inclusions (ranging…

Logic in Computer Science · Computer Science 2014-05-05 Alessandro Artale , Roman Kontchakov , Vladislav Ryzhikov , Michael Zakharyaschev

Several techniques were proposed to model the Piecewise linear (PWL) functions, including convex combination, incremental and multiple choice methods. Although the incremental method was proved to be very efficient, the attention of the…

Optimization and Control · Mathematics 2018-02-13 Mutaz Tuffaha , Jan Tommy Gravdahl

Many planning formalisms allow for mixing numeric with Boolean effects. However, most of these formalisms are undecidable. In this paper, we will analyze possible causes for this undecidability by studying the number of different…

Artificial Intelligence · Computer Science 2023-07-28 Hayyan Helal , Gerhard Lakemeyer

In this paper, we present an optimization based method for path planning of a mobile robot subject to time bounded temporal constraints, in a dynamic environment. Temporal logic (TL) can address very complex task specification such as…

Systems and Control · Computer Science 2016-04-29 Yuchen Zhou , Dipankar Maity , John S. Baras

Large Language Models have been found to create plans that are neither executable nor verifiable in grounded environments. An emerging line of work demonstrates success in using the LLM as a formalizer to generate a formal representation of…

Computation and Language · Computer Science 2025-06-03 Cassie Huang , Li Zhang

Recent works have explored using language models for planning problems. One approach examines translating natural language descriptions of planning tasks into structured planning languages, such as the planning domain definition language…

Computation and Language · Computer Science 2025-11-12 Max Zuo , Francisco Piedrahita Velez , Xiaochen Li , Michael L. Littman , Stephen H. Bach

The problem of specifying high-level knowledge bases for planning becomes a hard task in realistic environments. This knowledge is usually handcrafted and is hard to keep updated, even for system experts. Recent approaches have shown the…

Artificial Intelligence · Computer Science 2021-03-08 Alejandro Suárez-Hernández , Javier Segovia-Aguas , Carme Torras , Guillem Alenyà