DeepLTL: Learning to Efficiently Satisfy Complex LTL Specifications for Multi-Task RL

Fuente: arXiv
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Main Authors: Jackermeier, Mathias, Abate, Alessandro
Format: Preprint
Published: 2024
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author Jackermeier, Mathias
Abate, Alessandro
author_facet Jackermeier, Mathias
Abate, Alessandro
contents Linear temporal logic (LTL) has recently been adopted as a powerful formalism for specifying complex, temporally extended tasks in multi-task reinforcement learning (RL). However, learning policies that efficiently satisfy arbitrary specifications not observed during training remains a challenging problem. Existing approaches suffer from several shortcomings: they are often only applicable to finite-horizon fragments of LTL, are restricted to suboptimal solutions, and do not adequately handle safety constraints. In this work, we propose a novel learning approach to address these concerns. Our method leverages the structure of Büchi automata, which explicitly represent the semantics of LTL specifications, to learn policies conditioned on sequences of truth assignments that lead to satisfying the desired formulae. Experiments in a variety of discrete and continuous domains demonstrate that our approach is able to zero-shot satisfy a wide range of finite- and infinite-horizon specifications, and outperforms existing methods in terms of both satisfaction probability and efficiency. Code available at: https://deep-ltl.github.io/
format Preprint
id arxiv_https___arxiv_org_abs_2410_04631
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle DeepLTL: Learning to Efficiently Satisfy Complex LTL Specifications for Multi-Task RL
Jackermeier, Mathias
Abate, Alessandro
Artificial Intelligence
Machine Learning
Linear temporal logic (LTL) has recently been adopted as a powerful formalism for specifying complex, temporally extended tasks in multi-task reinforcement learning (RL). However, learning policies that efficiently satisfy arbitrary specifications not observed during training remains a challenging problem. Existing approaches suffer from several shortcomings: they are often only applicable to finite-horizon fragments of LTL, are restricted to suboptimal solutions, and do not adequately handle safety constraints. In this work, we propose a novel learning approach to address these concerns. Our method leverages the structure of Büchi automata, which explicitly represent the semantics of LTL specifications, to learn policies conditioned on sequences of truth assignments that lead to satisfying the desired formulae. Experiments in a variety of discrete and continuous domains demonstrate that our approach is able to zero-shot satisfy a wide range of finite- and infinite-horizon specifications, and outperforms existing methods in terms of both satisfaction probability and efficiency. Code available at: https://deep-ltl.github.io/
title DeepLTL: Learning to Efficiently Satisfy Complex LTL Specifications for Multi-Task RL
topic Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2410.04631