26/10/2020

Certified Unsolvability for SAT Planning with Property Directed Reachability

Salomé Eriksson, Malte Helmert

Keywords: classical planning, unsolvability, satisfiability, SAT, certifying algorithms, certificate

Abstract: While classical planning systems can usually detect if a task is unsolvable, only recent research introduced a way to verify such a claim. These methods have already been applied to a variety of explicit and symbolic search algorithms, but so far no planning technique based on SAT has been covered with them. We fill this gap by showing how \emph{property directed reachability} can produce proofs while only minimally altering the framework by allowing to utilize certificates for unsolvable SAT queries within the proof. We additionally show that a variant of the algorithm that does not use SAT calls can produce proofs that fit into the existing framework without requiring any changes.

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