Optimal Planning Modulo Theories
Optimal Planning Modulo Theories
Francesco Leofante, Enrico Giunchiglia, Erika Ábráham, Armando Tacchella
Proceedings of the Twenty-Ninth International Joint Conference on Artificial Intelligence
Main track. Pages 4128-4134.
https://doi.org/10.24963/ijcai.2020/571
We consider the problem of planning with arithmetic
theories, and focus on generating optimal
plans for numeric domains with constant and state-dependent action costs.
Solving these problems efficiently requires a seamless integration between
propositional and numeric reasoning. We propose a novel approach that leverages Optimization
Modulo Theories (OMT) solvers to implement a domain-independent optimal
theory-planner. We present a new encoding
for optimal planning in this setting and
we evaluate our approach using well-known, as well as new, numeric benchmarks.
Keywords:
Planning and Scheduling: Planning Algorithms
Constraints and SAT: Satisfiability Modulo Theories