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Trust Logics and Their Horn Fragments: Formalizing Socio-Cognitive Aspects of Trust
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
2015 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesis
Abstract [en]

This thesis investigates logical formalizations of Castelfranchi and Falcone's (C&F) theory of trust [9, 10, 11, 12]. The C&F theory of trust defines trust as an essentially mental notion, making the theory particularly well suited for formalizations in multi-modal logics of beliefs, goals, intentions, actions, and time.

Three different multi-modal logical formalisms intended for multi-agent systems are compared and evaluated along two lines of inquiry. First, I propose formal definitions of key concepts of the C&F theory of trust and prove some important properties of these definitions. The proven properties are then compared to the informal characterisation of the C&F theory. Second, the logics are used to formalize a case study involving an Internet forum, and their performances in the case study constitute grounds for a comparison. The comparison indicates that an accurate modelling of time, and the interaction of time and goals in particular, is integral for formal reasoning about trust.

Finally, I propose a Horn fragment of the logic of Herzig, Lorini, Hubner, and Vercouter [25]. The Horn fragment is shown to be too restrictive to accurately express the considered case study.

Place, publisher, year, edition, pages
2015. , 93 p.
Keyword [en]
Trust, modal logic, multi-agent systems, Horn fragment
National Category
URN: urn:nbn:se:liu:diva-115251ISRN: LiTH-MAT-EX--2015/01--SEOAI: diva2:794321
Available from: 2015-03-11 Created: 2015-03-11 Last updated: 2015-03-13Bibliographically approved

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Nygren, Karl
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Mathematics and Applied MathematicsThe Institute of Technology

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