By Éric Filiol

This booklet bargains with laptop viruses envisaged from 3 varied issues of view, specifically the theoretical basics of laptop virology, algorithmic and sensible facets of viruses and their capability functions to varied parts. The theoretical formalization via Turing machines, self-reproducing automata and recursive capabilities permit an actual and exhaustive description of the differing kinds of malware. It follows that the most stakes of laptop protection and antiviral struggling with are simply highlighted. designated research of the resource code for consultant individuals of every virus/worm family members permits the reader to know the elemental algorithmic elements eager about self-reproducing codes. The c language has been systematically used for a greater knowing of the thought of codes.

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This theorem, in a more general form, applies to partial recursive functions as well. To prove this, we just have to use the fact that a total function can be obtained from a partial function (due to the parameter theorem [11, page 544]). The reader will also find an exhaustive presentation of the differents variants of the recursion theorem in [129, pp 180-182]. Since this theorem is very important in the context of viral programs, we give its proof, drawn from Roger’s book [129, p. 180]. 11 This theorem is still known as the fixed point theorem of recursive function theory.

Supp(u) has only one element, 2. u is self-reproducing, 3. u is a universal computer-constructor. The student will first study Herman’s paper and the proof of this theorem, next he will build and implement such a cellular space Z using a programming language of his choice. Codd Automata Implementation About three to five months should be required for an undergraduate student to carry out this project. Codd proposed in 1968 an automata which proved to be less complex than von Neumann’s. But it was still impossible to represent it in detail (at least without a computer) at that time.

3. Its main components, which are connected by means of a channel through which data circulate in an encoded form, are the following: • a pulser (P) whose function is to encode commands and to generate at the output y a sequence of excitations for other “organs” whenever it receives a given input excitation x. • a control unit (1) along with its input decoding unit (D1) and its output encoding unit (C1). • a construction unit (2) and its input decoding unit (D2). • a tape unit (3) along with its decoding unit (C3; for input data) and its encoding unit (D3; for the output data).

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