# Epistemic Model Theory revisited II.

## Sergei Artemov

### The CUNY Graduate Center

We provide a brief but rigorous review of the model theory for modal epistemic logic. In addition to the classical soundness and completeness results we will focus on features that are normally left hidden: necessitation in epistemic scenarios, internalization property of the model, knowledge of the model, etc. This should provide a solid base for further epistemic logic investigations.

In this talk, we take a fresh look at canonical models of the usual multi-modal systems, and discuss what they can and cannot do in the epistemic settings.

Professor Artemov holds a Distinguished Professor position at the Graduate Center of the City University of New York, in the Computer Science, Mathematics and Philosophy programs. He is also Professor of Mathematics at Moscow State University, the founder and the Head of the research laboratory Logical Problems in Computer Science. He conducts research in the areas of logic in computer science, mathematical logic and proof theory, knowledge representation and artificial intelligence, automated deduction and verification and optimal control and hybrid systems.