Toward an Abstract Computer Virology

n abstract computer virology G. Bonfante, M. Kaczmarek, and J-Y Marion Loria, Calligramme project, B.P. 239, 54506 Vandœuvre-l`es-Nancy C´edex, France, and ´Ecole Nationale Sup´erieure des Mines de Nancy, INPL, France. We are concerned with theoretical aspects of computer viruses. For this, we suggest a new definition of viruses which is clearly based on the iteration theorem and above all on Kleene’s recursion theorem. We show that we capture in a natural way previous definitions, and in particular the one of Adleman. We establish generic constructions in order to construct viruses, and we illustrate them by various examples. We discuss about the relationship between information theory and virus and we propose a defense against some kind of viral propagation. Lastly, we show that virus detection is Π0 2 -complete. However, since we are able to deal with system vulnerability, we exhibit another defense based on controlling system access.

• Type: Conference
• Year: 2005
• Where: ICTAC
• Authors: Guillaume Bonfante, Matthieu Kaczmarek, Jean-Yves Marion
• Keywords: ICTAC 2005, J-Y Marion Loria, Kleene’s Recursion Theorem, Sup´erieure Des Mines