Abstract
This paper introduces a multi-dimensional modal logic of Quantified Coalition Logic of Beliefs, Desires and Intentions (QCLBDI) to reason about how agents’ mental attitudes evolve by cooperation in game-like multi-agent systems. We present a complete axiomatic system of QCLBDI with the formal proof and show that the satisfiability for QCLBDI is PSPACE-complete, computationally no harder than that of CL.
This work is supported by National Basic Research 973 Program of China grant 2010CB328103; National Natural Science Foundation of China grant No.61272415, No.61003056, and No.61472369; and ARC Future Fellowship No.FT0991785 in Australia.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Rao, A.S., Georgeff, M.P.: BDI agents: From theory to practice. In: Proceedings of the First International Conference on Multiagent Systems, San Francisco, California, USA, June 12-14, pp. 312–319 (1995)
Ågotnes, T., van der Hoek, W., Wooldridge, M.: Quantified coalition logic. Synthese 165(2), 269–294 (2008)
Pauly, M.: A modal logic for coalitional power in games. Journal of Logic and Computation 12(1), 149–166 (2002)
Halpern, J.Y., Fagin, R., Moses, Y., Vardi, M.Y.: Reasoning About Knowledge. MIT Press (1995)
Halpern, J.Y., Moses, Y.: A guide to completeness and complexity for modal logics of knowledge and belief. Artificial Intelligence 54(2), 319–379 (1992)
Ågotnes, T., Alechina, N.: A logic for reasoning about knowledge of unawareness. Journal of Logic, Language and Information 23(2), 197–217 (2014)
Bulling, N., Jamroga, W.: Comparing variants of strategic ability: how uncertainty and memory influence general properties of games. Autonomous Agents and Multi-Agent Systems 28(3), 474–518 (2014)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Chen, Q., Li, Q., Su, K., Luo, X. (2014). Quantified Coalition Logic for BDI-Agents: Completeness and Complexity. In: Pham, DN., Park, SB. (eds) PRICAI 2014: Trends in Artificial Intelligence. PRICAI 2014. Lecture Notes in Computer Science(), vol 8862. Springer, Cham. https://doi.org/10.1007/978-3-319-13560-1_72
Download citation
DOI: https://doi.org/10.1007/978-3-319-13560-1_72
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13559-5
Online ISBN: 978-3-319-13560-1
eBook Packages: Computer ScienceComputer Science (R0)