APPLIED MATHEMATICS AND COMPUTATION, cilt.176, sa.1, ss.65-75, 2006 (SCI-Expanded)
This paper presents a new Lambda-Boolean reduction machine for Lambda-Boolean and Lambda-Beta Boolean reductions in the context of Lambda Calculus and introduces the role of Church-Rosser properties and functional computation model in symbolic and algebraic computation with induction. The algorithm which improved for Lambda-Beta Boolean reduction is simulated by the efficient logical programming language Prolog. (c) 2005 Elsevier Inc. All rights reserved.