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Title: Parameterized complexity of theory of mind reasoning in dynamic epistemic logic
Author(s): Pol, I.P.A. van de ; Rooij, I.J.E.I. van ; Szymanik, J.
Publication year: 2018
Source: Journal of Logic, Language, and Information, vol. 27, iss. 3, (2018), pp. 255-294
Number of Pages: 40 p.
ISSN: 0925-8531
DOI: https://doi.org/10.1007/s10849-018-9268-4
Publication type: Article / Letter to editor

Please use this identifier to cite or link to this item : http://hdl.handle.net/2066/194025   http://hdl.handle.net/2066/194025

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Subject: Cognitive artificial intelligence
DI-BCB_DCC_Theme 0
Organization: SW OZ DCC KI
Journal title:
Journal of Logic, Language, and Information
Volume: vol. 27
Issue: iss. 3
Page start: p. 255
Page end: p. 294
Abstract:
Theory of mind refers to the human capacity for reasoning about others' mental states based on observations of their actions and unfolding events. This type of reasoning is notorious in the cognitive science literature for its presumed computational intractability. A possible reason could be that it may involve higher-order thinking (e.g., 'you believe that I believe that you believe'). To investigate this we formalize theory of mind reasoning as updating of beliefs about beliefs using dynamic epistemic logic, as this formalism allows to parameterize 'order of thinking'. We prove that theory of mind reasoning, so formalized, indeed is intractable (specifically, PSPACE-complete). Using parameterized complexity we prove, however, that the 'order parameter' is not a source of intractability. We furthermore consider a set of alternative parameters and investigate which of them are sources of intractability. We discuss the implications of these results for the understanding of theory of mind.
Languages used: English (eng)

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