By Éric Filiol
This publication offers with laptop viruses envisaged from 3 assorted issues of view, specifically the theoretical basics of computing device virology, algorithmic and useful facets of viruses and their strength purposes to numerous parts. The theoretical formalization through Turing machines, self-reproducing automata and recursive features allow an exact and exhaustive description of the differing kinds of malware. It follows that the most stakes of laptop security and antiviral battling are simply highlighted. unique research of the resource code for consultant participants of every virus/worm relations permits the reader to know the fundamental algorithmic features eager about self-reproducing codes. The c program languageperiod has been systematically used for a greater knowing of the thought of codes.
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Additional info for Computer Viruses
In the present context, this 14 The Formalization Foundations the way U operates more easily: a machine which is simulating another machine is equivalent to a simple machine processing an input data. Let us consider a simple example of such an encoding. Let (x 0 , x1 , . . , xn ) be the data written on the tape of a Turing machine. We can represent them as the following integer (G¨ odel number): n +1 < x0 , x1 , . . , xn >= 2x0 +1 3x1 +1 . . pnx , by using – among other solutions – the prime numbers p i (using prime numbers ensures a unique (univocal) decoding by the machine since the factorization of any integer into a product of prime numbers is itself unique).
In their main result they proved that this property can be practically realized. However, the example they built to prove this result was so complex that researchers since tried to ﬁnd a less complex example, easier to study and to implement, in order to analyze the self-reproduction feature. The main question that arose at that time was to determine how simple an automaton could be still being able to reproduce. Next, many authors, particularly Codd  in 1968, Herman  in 1973, Langton  in 1984 and Byl  in 1989 managed to build other selfreproducing automata which proved to be far less complex.
The following ﬁrst result can be given. The reader will ﬁnd its proof in [151, pp 185-186]. Proposition 2 There exist self-reproducing conﬁgurations in von Neumann’s cellular model. 3 Self-reproducing Automata 25 As far as the construction of conﬁgurations is concerned, we can give the following proposition. Proposition 3 In von Neumann’s model, there exist conﬁgurations which cannot be constructed. ) As an example, some particular conﬁgurations which exist only at time instant t = 0 (called Garden of Eden conﬁgurations) cannot be constructed (in other words they have no ancestor conﬁguration) in von Neumanns’s model.