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81Logic of secrets in collaboration networksAnnals of Pure and Applied Logic 162 (12): 959-969. 2011.The article proposes Logic of Secrets in Collaboration Networks, a formal logical system for reasoning about a set of secrets established over a fixed configuration of communication channels. The system’s key feature, a multi-channel relation called independence, is a generalization of a two-channel relation known in the literature as nondeducibility. The main result is the completeness of the proposed system with respect to a semantics of secrets
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8Axiomatic theory of betweennessArchive for Mathematical Logic 60 (1): 227-239. 2020.Betweenness as a relation between three individual points has been widely studied in geometry and axiomatized by several authors in different contexts. The article proposes a more general notion of betweenness as a relation between three sets of points. The main technical result is a sound and complete logical system describing universal properties of this relation between sets of vertices of a graph.
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University of SouthamptonRegular Faculty
Areas of Specialization
Doxastic and Epistemic Logic |