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In this paper, we give a brief overview of the rule-based programming system, called P$\rho$Log and illustrate its capabilities. ... This work has been supported by the Shota Rustaveli National Science Foundation of Georgia under the grant YS-18-1480. ... The author is very grateful to Misha Klin, Christian Pech, Sven Reichard and Matan Ziv-Av for helpful communications on various topics from computer algebra systems and algebraic graph theory. ...doi:10.35011/risc.21-16 fatcat:jacdxdfb2vepxndpvxwkm6fuo4