Computational and Applied Math Proseminar

Department of Mathematics, Arizona State University

Thursday, September 10, 1998, 3:05 p.m. in PSA Room 104

Sachindev Shetty

Department of Mathematics

Problems in Computer Security

Abstract For the development of highly secure systems, it is crucial that all information flows through the system are understood.In particular, covert channels or unexpected information flows can be particularily damaging to a secure system which is attempting to maintain a high level of confidentiality. (For example, a top secret process should not under normal situations be able to send or otherwise signal any information to a secret process). Non-Interference is a mathematical technique that allows a system model to be analyzed for these kinds of information. Traditionally these non-interference techniques/theorems have been stated in a hierarchical(POSet based) fashion.We consider an intransitive non-interference security policy for a system that can be represented as a deterministic state machine. After defining the system and communication policy, we build an equivalence relation by analyzing the system's security using a constructive algoritm. We define a convert channel and make changes to eliminate them. We find that the policy and equivalence relation then satisfy the conditions of the unwinding theorem, thus ensuring security.

For further information please contact: mittelmann@asu.edu