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MDPs with Energy-Parity Objectives

MDPs with Energy-Parity Objectives

Authors :
Mayr, Richard
Schewe, Sven
Totzke, Patrick
Wojtczak, Dominik
Publication Year :
2017

Abstract

Energy-parity objectives combine $\omega$-regular with quantitative objectives of reward MDPs. The controller needs to avoid to run out of energy while satisfying a parity objective. We refute the common belief that, if an energy-parity objective holds almost-surely, then this can be realised by some finite memory strategy. We provide a surprisingly simple counterexample that only uses coB\"uchi conditions. We introduce the new class of bounded (energy) storage objectives that, when combined with parity objectives, preserve the finite memory property. Based on these, we show that almost-sure and limit-sure energy-parity objectives, as well as almost-sure and limit-sure storage parity objectives, are in $\mathit{NP}\cap \mathit{coNP}$ and can be solved in pseudo-polynomial time for energy-parity MDPs.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1701.02546
Document Type :
Working Paper