Learning Symbolic Persistent Macro-Actions for POMDP Solving Over Time
On the map: LLM reasoning → Test-time compute and efficient thinking
Abstract (arXiv)
This paper proposes an integration of temporal logical reasoning and Partially Observable Markov Decision Processes (POMDPs) to achieve interpretable decision-making under uncertainty with macro-actions. Our method leverages a fragment of Linear Temporal Logic (LTL) based on Event Calculus (EC) to generate persistent (i.e., constant) macro-actions, which guide Monte Carlo Tree Search (MCTS)-based POMDP solvers over a time horizon, significantly reducing inference time while ensuring robust performance. Such macro-actions are learnt via Inductive Logic Programming (ILP) from a few traces of execution (belief-action pairs), thus eliminating the need for manually designed heuristics and requiring only the specification of the POMDP transition model. In the Pocman and Rocksample benchmark scenarios, our learned macro-actions demonstrate increased expressiveness and generality when compared to time-independent heuristics, indeed offering substantial computational efficiency improvements.
Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 13 of its 32 references that are in the map. First posted on arXiv 6 May 2025.
Builds on
13 of 32 references.
References · 13
- 2016DESPOT: Online POMDP Planning with Regularizationcited by 106
- 2018Foundations for Restraining Bolts: Reinforcement Learning with LTLf/LDLf restraining specificationscited by 72
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- 2020MAGIC: Learning Macro-Actions for Online POMDP Planningcited by 17
- 2021Closing the Planning-Learning Loop with Application to Autonomous Drivingcited by 12
- 2020Conflict-driven Inductive Logic Programmingcited by 8
- 2020Manipulation of Articulated Objects using Dual-arm Robots via Answer Set Programmingcited by 7
- 2023Learning Logic Specifications for Soft Policy Guidance in POMCPcited by 7
- 2024Learning Logic Specifications for Policy Guidance in POMDPs: an Inductive Logic Programming Approachcited by 7
- 2022Deliberation in autonomous robotic surgery: a framework for handling anatomical uncertaintycited by 6
- 2025Online inductive learning from answer sets for efficient reinforcement learning explorationcited by 4
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Citing papers per year: 2026: 2.
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- 2018Hindsight is Only 50/50: Unsuitability of MDP based Approximate POMDP Solvers for Multi-resolution Information Gathering
- 2025Robust Finite-Memory Policy Gradients for Hidden-Model POMDPs
- 2025Sequential Monte Carlo for Policy Optimization in Continuous POMDPs
- 2026Probing Dec-POMDP Reasoning in Cooperative MARL
- 2026Safety-critical Control Under Partial Observability: Reach-Avoid POMDP meets Belief Space Control
- 2024Rethinking Transformers in Solving POMDPs
- 2026Belief-State Engine: Augmenting LLMs for Principled Planning Under Partial Observability
- 2025Integrated Control and Active Perception in POMDPs for Temporal Logic Tasks and Information Acquisition ↗