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The Dynamics of Incomplete and Inconsistent Information : Applications of logic, algebra and coalgebra. (La dynamique de l'information incomplète et incohérente : applications de la logique, de l'algèbre et de la coalgèbre)

In this Ph.D. dissertation we investigate reasoning about information change in the presence of incomplete or inconsistent information, and the characterisation of notions of bisimulation on models encoding such reasoning patterns. Modal logics for incomplete and inconsistent information are typically weaker than the standard modal logics, such as the modal logic of contingency. We use logical, algebraic and co-algebraic methods to achieve our aims. The dissertation consists of two main parts. The first part focusses on reasoning about information change, and the second part focusses on expressivity and bisimulation. In the following, we give an overview of the contents of this dissertation