Parameterized Complexity Results for a Model of Theory of Mind Based on Dynamic Epistemic Logic
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| Publication date | 24-06-2016 |
| Journal | Electronic Proceedings in Theoretical Computer Science |
| Event | 15th Conference on Theoretical Aspects of Rationality and Knowledge (TARK) |
| Volume | Issue number | 215 |
| Pages (from-to) | 246-263 |
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| Abstract |
In this paper we introduce a computational-level model of theory of mind (ToM) based on dynamic epistemic logic (DEL), and we analyze its computational complexity. The model is a special case of DEL model checking. We provide a parameterized complexity analysis, considering several aspects of DEL (e.g., number of agents, size of preconditions, etc.) as parameters. We show that model checking for DEL is PSPACE-hard, also when restricted to single-pointed models and S5 relations, thereby solving an open problem in the literature. Our approach is aimed at formalizing current intractability claims in the cognitive science literature regarding computational models of ToM.
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| Document type | Article |
| Note | In: Proceedings Fifteenth Conference on Theoretical Aspects of Rationality and Knowledge : Carnegie Mellon University, Pittsburgh, USA, June 4-6, 2015. Edited by R. Ramanujam. |
| Language | English |
| Related publication | Parameterized complexity of theory of mind reasoning in dynamic epistemic logic |
| Published at | https://doi.org/10.4204/EPTCS.215.18 |
| Other links | http://eptcs.web.cse.unsw.edu.au/content.cgi?TARK2015 |
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