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LTLf and LDLf Synthesis under Partial Observability

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Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence. Pages 1044-1049.

Abstract

In this paper, we study synthesis under partial observability for logical specifications over finite traces expressed in LTLf/LDLf. This form of synthesis can be seen as a generalization of planning under partial observability in nondeterministic domains, which is known to be 2EXPTIME-complete. We start by showing that the usual belief-state construction used in planning under partial observability works also for general LTLf/LDLf synthesis, though with a jump in computational complexity from 2EXPTIME to 3EXPTIME. Then we show that the belief-state construction can be avoided in favor of a direct automata construction which exploits projection to hide unobservable propositions. This allow us to prove that the problem remains 2EXPTIME-complete. The new synthesis technique proposed is effective and readily implementable.

Giuseppe De Giacomo, and Moshe Y. Vardi. 2016. LTLf and LDLf Synthesis under Partial Observability. In Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence, IJCAI-16. IJCAI, 1044–1049. https://ijcai.org/proceedings/2016/152
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