A modal type theory for formalizing trusted communications

Journal of Applied Logic 10 (1):92-114 (2012)
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Abstract

This paper introduces a multi-modal polymorphic type theory to model epistemic processes characterized by trust, defined as a second-order relation affecting the communication process between sources and a receiver. In this language, a set of senders is expressed by a modal prioritized context, whereas the receiver is formulated in terms of a contextually derived modal judgement. Introduction and elimination rules for modalities are based on the polymorphism of terms in the language. This leads to a multi-modal non-homogeneous version of a type theory, in which we show the embedding of the modal operators into standard group knowledge operators.

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Author Profiles

Giuseppe Primiero
Università degli Studi di Milano

References found in this work

The role of trust in knowledge.John Hardwig - 1991 - Journal of Philosophy 88 (12):693-708.
The Place of Testimony in the Fabric of Knowledge and Justification.Robert Audi - 1997 - American Philosophical Quarterly 34 (4):405 - 422.
Explicit provability and constructive semantics.Sergei N. Artemov - 2001 - Bulletin of Symbolic Logic 7 (1):1-36.

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