The article examines some current trends in the development of the general theory of criminalistics in line with the integration and differentiation of scientific knowledge, considering trends in global digitalization and integration of modern technologies in the field of crime investigation. An analysis of current definitions of the subject of criminology given by leading forensic scientists from Russia, Belarus, Kazakhstan, Azerbaijan and other countries has been carried out, which shows that most of them, one way or another, are consistent with the definition of the subject of science by R. S. Belkin. A comparative analysis of digital criminalistic (V. B. Vekhov and S. V. Zuev), by which the authors understand a particular theory of criminalistics, includes a general part very similar to the general provisions of the theory of information and computer support for criminalistic activities developed by us and a special part that relates first to the development of information and computer support for criminalistic equipment and technology. The ways of developing the theory of criminalistic trace science are outlined, in which, considering new forensic technologies, the relationships between the scene of the incident, the victim, the method of crime and the criminal should be connected through various mechanisms of trace formation. The methods of computer crimes and the concept of constructing information and computer criminalistic models of computer crimes based on the theory of information and computer support for criminalistic activities are considered. The basis was chosen to be correlations between combinations of IT-technologies used to carry out computer crimes, the trace pattern in the form of digital footprints and the level of competence in IT-technologies of the criminal and the victim.
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