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A first-order coalition logic for BDI-agents

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Abstract

Coalition logic (CL) enables us to model the strategic abilities and specify what a group of agents can achieve whatever the other agents do. However, some rational mental attitudes of the agents are beyond the scope of CL such as the prestigious beliefs, desires and intentions (BDI) which is an interesting and useful epistemic notion and has spawned substantial amount of studies in multi-agent systems. In this paper, we introduce a first-order coalition BDI (FCBDI) logic for multi-agent systems, which provides a semantic glue that allows the formal embedding and interaction of BDI, coalition and temporal operators in a first-order language. We further introduce a semantic model based on the interpreted system model and present an axiomatic system that is proved sound and complete with respect to the semantics. Finally, it is shown that the computational complexity of its model checking in finite structures is PSPACE-complete.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Jinan University, Guangzhou, 510632, China

    Qingliang Chen & Kaile Su

  2. Institute for Integrated and Intelligent Systems, Griffith University, Brisbane, 4111, Australia

    Kaile Su & Abdul Sattar

  3. College of Computer Science and Technology, Huaqiao University, Xiamen, 361021, China

    Xiangyu Luo

  4. School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou, 510320, China

    Aixiang Chen

Authors
  1. Qingliang Chen
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  2. Kaile Su
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  3. Abdul Sattar
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  4. Xiangyu Luo
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  5. Aixiang Chen
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Corresponding author

Correspondence to Xiangyu Luo.

Additional information

Qingliang Chen received his PhD in computer science from Sun Yat-Sen University, China in 2007. He is currently an associate professor in Department of Computer Science, Jinan university, China. His research interests are modal logics and multi-agent systems.

Kaile Su received his PhD in mathematics from Nanjing University, China in 1995. He is currently an associate professor in the Institute for Integrated and Intelligent Systems, Griffith University, Australia. His research interests are modal logics and multi-agent systems.

Abdul Sattar received his PhD in computer science from University of Alberta, Canada in 1992. He is the director of the Institute for Integrated and Intelligent Systems, and a professor of Computer Science at Griffith University, Australia. His research interests are knowledge representation and reasoning and multi-agent systems.

Xiangyu Luo received his PhD in computer science from Sun Yat-Sen University, China in 2006. He is currently an associate professor at the College of Computer Science and Technology, Huaqiao University, China. His research interests include model checking multi-agent systems and epistemic logics.

Aixiang Chen received his PhD in computer science from Sun Yat-Sen University, China in 2007. He is currently an associate professor at the School of Mathematics and Statistics, Guangdong University of Finance and Economics, China. His research interest is multi-agent systems.

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Chen, Q., Su, K., Sattar, A. et al. A first-order coalition logic for BDI-agents. Front. Comput. Sci. 10, 233–245 (2016). https://doi.org/10.1007/s11704-015-4591-2

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