The purpose of the study is to elaborate and substantiate the algorithms of solving problems with the software implementation of algorithmic shell prompt withdrawal of precedent. Using the methods of literature’s theoretical analysis and mathematical modeling the authors determine mechanisms of withdrawal, based on precedents and examine matrix knowledge precedents. Furthermore, the research reveals the selection algorithm precedent under the supervision of situational vector quantitative coordinates. The practical value is that the submissions can be useful for solving the current problems with the functioning of the session of the general objectives anthropocentric object.

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