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Pozycja The Gentzen sequent calculus in e-testing. Pt. 1: Foundations(Wydawnictwo Politechniki Łódzkiej, 2010) Niewiadomski, Adam; Indrzejczak, AndrzejModern methods and trends in education, especially the so-called e-learning, are undeniably more and more popular and widely applied in recent years. The paper is focused on the subdomain of the e-learning area which is named e-testing and it concerns the problem of replacing the manual checking and evaluating of distance exams with automated and intelligent procedures run by dedicated computer systems. A popular system of automated theorem proving by Gentzen [1] is applied to mechanise the process of checking and evaluating e-tests in set theory and logics. The paper presents the general rules according to which such an e-test should be built, then the evaluating algorithm based on the Gentzen sequent calculus is presented and exemplified, finally the detailed comments on the implementation and the results are given.Pozycja The Gentzen sequent calculus in e-testing. Pt. 2: Algorithms and implementation(Wydawnictwo Politechniki Łódzkiej, 2010) Niewiadomski, Adam; Indrzejczak, AndrzejThis paper contains the description of algorithms and their implementations, the foundations and background of which are presented in Part I of this paper [1].