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AAAI 2026

January 23, 2026

Singapore, Singapore

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Automated planning involves finding a sequence of actions that changes the world from an initial state to a final state with goals satisfied. The general problem is PSPACE-hard. Nevertheless, many restricted variants are NP-complete or even in P. Existing complexity work focuses mostly on plan existence, or plan with minimal plan length. Little is known about optimization variants that aim to satisfy as many goal conditions as possible. In this paper, we aim to fill this gap by providing a first inapproximability study of goal-maximization using the classical STRIPS formalism. For MAXPLANSAT and its length-bounded counterpart MAXPLANSAT(K), we prove tight constant-factor lower bounds. More specifically, through performing $L$-reductions from MAXE3SAT and MAX3DM, we show several of these problems are inapproximable by a constant factor, unless P=NP.

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Methods for Optimization Problems with Markovian Stochasticity and Non-Euclidean Geometry
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Methods for Optimization Problems with Markovian Stochasticity and Non-Euclidean Geometry

AAAI 2026

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Aleksandr Beznosikov and 3 other authors

23 January 2026

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