The description for this book, The Calculi of Lambda Conversion. (AM-6), Volume 6, will be forthcoming.
The book 'A++ and the Lambda Calculus' also contains a brief introduction to the educational programming language A++, a minimal programming language that has been built with the Lambda Calculus as its foundation.
H. B. Curry, An analysis of logical substitution, American journal of mathematics, vol. 51 (1929 )* pp. 363 - 384. 18. H. B. Curry, Grundlagen der komblnatorlschen Loglk, ibid., vol. 52 (1930), pp. 509 - 536, 789 - 834. 19* H. B. Curry ...
This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty.
Combinatory logic and lambda-conversion were originally devised in the 1920s for investigating the foundations of mathematics using the basic concept of 'operation' instead of 'set'.
Well-respected text for computer science students provides an accessible introduction to functional programming. Cogent examples illuminate the central ideas, and numerous exercises offer reinforcement. Includes solutions. 1989 edition.
This is a set of lecture notes that developed out of courses on the lambda calculus that the author taught at the University of Ottawa in 2001 and at Dalhousie University in 2007 and 2013.
The treatment is as non-technical as possible, with the main ideas emphasized and illustrated by examples. Many exercises are included, from routine to advanced, with solutions to most at the end of the book.
At his death in 1995, Church was still regarded as the greatest mathematical logician in the world. This book is intended to be used as a textbook by students of mathematics, and also within limitations as a reference work.
This introduction to lambda-calculus looks at aspects of the theory: combinatory logic, models, and type streams, showing how they interlink and underpin computer science.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.