Date of Award

9-1-2019

Thesis Type

masters

Document Type

Thesis (Restricted Access)

Divisions

science

Department

Faculty of Science

Institution

University of Malaya

Abstract

Public announcement logic with common knowledge (PAC) is a logic that formalizes the notion of epistemic update. The main objective of this study is to propose a labelled natural deduction proof system for PAC and to show some applications of PAC in the cryptographic protocol. We begin by modifying the Kripke model that is capable of giving semantics to formulas having announcement indexing. Then, a labelled natural deduction for PAC (NPAC) is proposed and its soundness and completeness are proven. Then, we proved its normalization using a proof-theoretic semantical notion of validity of a derivation. Finally, an application of PAC in cryptographic protocol is presented.

Note

Dissertation (M.A.) – Faculty of Science, University of Malaya, 2019.

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