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The book is intended for computer science students, programmers and professionals who have already got acquainted with the basic courses and background on discrete mathematics. It may be used as a textbook for graduate course on theoretical computer science. The book introduces a reader to the conceptual framework for thinking about computations with the objects. The several areas of theoretical computer science are covered, including the following: type free and typed -calculus and combinatory logic with applications, evaluation of expressions, computations in a category. The topics, covered in the book accumulated much experience in teaching these subjects in graduate computer science courses | V. E. Wolfengagen Combinatory Logic in Programming Library JurInfoR .Founded in 1994 Series Computer Science and Information Technologies Project Applicative Computational Systems Project Leader Dr. L. Yu. Ismailova Published on the occasion of 60th anniversary of Moscow Engineering Physics Institute Institute for Contemporary Education JurInfoR-MSU Department of Advanced Computer Studies and Information Technologies V. E. Wolfengagen COMBINATORY LOGIC in PROGRAMMING Computations with objects through examples and exercises 2nd edition Moscow Center JurInfoR Ltd. r .