On Abstract Computer Virology from a Recursion-theoretic Perspective

Guillaume Bonfante (1) , Matthieu Kaczmarek (1) , Jean-Yves Marion (1)

1 CARTE - Theoretical adverse computations, and safety

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 virus constructions and we illustrate them by various examples. Lastly, we show results on virus detection.

Keywords: Computer virology; computability; recursion theorem; iteration theorem

Domains: Other [cs.OH]

Guillaume Bonfante, Matthieu Kaczmarek, Jean-Yves Marion. On Abstract Computer Virology from a Recursion-theoretic Perspective. Journal in Computer Virology, 2006, 1 (3-4), pp.45--54. ⟨10.1007/s11416-005-0007-4⟩. ⟨inria-00115199⟩