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"This book has evolved from a number of projects by the authors … into aspects of the evolution of calculus and type theory in Logic, Mathematics and Computation. … The crown of this collaboration is this very rich and well written book … . This book not only gives a nice and concise overview … but also a mathematically precise and faithful reconstruction of the different type theories … . I expect the book will be a major work of reference … ." H.C.M. De Swart, Journal of Logic, Language and Information, Vol. 15, 2006