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Qualitative analysis of POMDPs with temporal logic specifications for robotics applications

K. Chatterjee, M. Chmelik, R. Gupta, A. Kanodia, Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications, IST Austria, 2014.

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Technical Report | Published | English
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IST Austria Technical Report
Abstract
We consider partially observable Markov decision processes (POMDPs), that are a standard framework for robotics applications to model uncertainties present in the real world, with temporal logic specifications. All temporal logic specifications in linear-time temporal logic (LTL) can be expressed as parity objectives. We study the qualitative analysis problem for POMDPs with parity objectives that asks whether there is a controller (policy) to ensure that the objective holds with probability 1 (almost-surely). While the qualitative analysis of POMDPs with parity objectives is undecidable, recent results show that when restricted to finite-memory policies the problem is EXPTIME-complete. While the problem is intractable in theory, we present a practical approach to solve the qualitative analysis problem. We designed several heuristics to deal with the exponential complexity, and have used our implementation on a number of well-known POMDP examples for robotics applications. Our results provide the first practical approach to solve the qualitative analysis of robot motion planning with LTL properties in the presence of uncertainty.
Publishing Year
Date Published
2014-09-09
Page
12
ISSN
IST-REx-ID

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Chatterjee K, Chmelik M, Gupta R, Kanodia A. Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications. IST Austria; 2014. doi:10.15479/AT:IST-2014-305-v1-1
Chatterjee, K., Chmelik, M., Gupta, R., & Kanodia, A. (2014). Qualitative analysis of POMDPs with temporal logic specifications for robotics applications. IST Austria. https://doi.org/10.15479/AT:IST-2014-305-v1-1
Chatterjee, Krishnendu, Martin Chmelik, Raghav Gupta, and Ayush Kanodia. Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-305-v1-1.
K. Chatterjee, M. Chmelik, R. Gupta, and A. Kanodia, Qualitative analysis of POMDPs with temporal logic specifications for robotics applications. IST Austria, 2014.
Chatterjee K, Chmelik M, Gupta R, Kanodia A. 2014. Qualitative analysis of POMDPs with temporal logic specifications for robotics applications, IST Austria, 12p.
Chatterjee, Krishnendu, et al. Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics Applications. IST Austria, 2014, doi:10.15479/AT:IST-2014-305-v1-1.
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