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Reinforcement Learning with Symbolic Reward Machines

arXiv 2603.03068 ↗First posted 3 Mar 2026cs.LG cs.AIcited by 0

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Abstract (arXiv)

Reward Machines (RMs) are an established mechanism in Reinforcement Learning (RL) to represent and learn sparse, temporally extended tasks with non-Markovian rewards. RMs rely on high-level information in the form of labels that are emitted by the environment alongside the observation. However, this concept requires manual user input for each environment and task. The user has to create a suitable labeling function that computes the labels. These limitations lead to poor applicability in widely adopted RL frameworks. We propose Symbolic Reward Machines (SRMs) together with the learning algorithms QSRM and LSRM to overcome the limitations of RMs. SRMs consume only the standard output of the environment and process the observation directly through guards that are represented by symbolic formulas. In our evaluation, our SRM methods outperform the baseline RL approaches and generate the same results as the existing RM methods. At the same time, our methods adhere to the widely used environment definition and provide interpretable representations of the task to the user.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 9 of its 24 references that are in the map. First posted on arXiv 3 Mar 2026.

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9 of 24 references.

References · 9

  1. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
  2. 2020Reward Machines: Exploiting Reward Function Structure in Reinforcement Learningcited by 183
  3. 2019Joint Inference of Reward Machines and Policies for Reinforcement Learningcited by 56
  4. 2022A Hierarchical Bayesian Approach to Inverse Reinforcement Learning with Symbolic Reward Machinescited by 9
  5. 2025Reinforcement Learning with Stochastic Reward Machinescited by 7
  6. 2023Counting Reward Automata: Sample Efficient Reinforcement Learning Through the Exploitation of Reward Function Structurecited by 6
  7. 2024FORM: Learning Expressive and Transferable First-Order Logic Reward Machinescited by 4
  8. 2025Pushdown Reward Machines for Reinforcement Learningcited by 4
  9. 2016A Survey of Satisfiability Modulo Theorycited by 3

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