Progression Heuristics for Planning with Probabilistic LTL Constraints


  • Ian Mallett The Australian National University
  • Sylvie Thiebaux The Australian National University
  • Felipe Trevizan The Australian National University



Model-Based Reasoning, Planning with Markov Models (MDPs, POMDPs), Planning under Uncertainty, Heuristic Search


Probabilistic planning subject to multi-objective probabilistic temporal logic (PLTL) constraints models the problem of computing safe and robust behaviours for agents in stochastic environments. We present novel admissible heuristics to guide the search for cost-optimal policies for these problems. These heuristics project and decompose LTL formulae obtained by progression to estimate the probability that an extension of a partial policy satisfies the constraints. Their computation with linear programming is integrated with the recent PLTL-dual heuristic search algorithm, enabling more aggressive pruning of regions violating the constraints. Our experiments show that they further widen the scalability gap between heuristic search and verification approaches to these planning problems.




How to Cite

Mallett, I., Thiebaux, S., & Trevizan, F. (2021). Progression Heuristics for Planning with Probabilistic LTL Constraints. Proceedings of the AAAI Conference on Artificial Intelligence, 35(13), 11870-11879.



AAAI Technical Track on Planning, Routing, and Scheduling