This book gives an account of combinatory logic and lambda-calculus. The grammar and basic properties of both systems are discussed, followed by explanations of type-theory and lambda-calculus models. The treatment is as non-technical as possible with many examples and exercises.
This book gives an account of combinatory logic and lambda-calculus. The grammar and basic properties of both systems are discussed, followed by explanations of type-theory and lambda-calculus models. The treatment is as non-technical as possible with many examples and exercises.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
J. Roger Hindley is an Honorary Research Fellow at Swansea University, Wales. His main research interests are Lambda-calculus and combinatory logic and he has taught at many international universities including Bristol University, Pennsylvania State University and Tokyo Institute of technology. This is his 7th book.
Inhaltsangabe
Preface; 1. The -calculus; 2. Combinatory logic; 3. The power of and CL; 4. Computable functions; 5. Undecidability; 6. Formal theories; 7. Extensionality in -calculus; 8. Extensionality in CL; 9. Correspondence between and CL; 10. Simple typing, Church-style; 11. Simple typing, Curry-style in CL; 12. Simple typing, Curry-style in ; 13. Generalizations of typing; 14. Models of CL; 15. Models of ; 16. Scott's D and other models; Appendix 1. -conversion; Appendix 2. Confluence proofs; Appendix 3. Normalization proofs; Appendix 4. Care of your pet combinator; Appendix 5. Answers to starred exercises; Bibliography; Index.
Preface; 1. The -calculus; 2. Combinatory logic; 3. The power of and CL; 4. Computable functions; 5. Undecidability; 6. Formal theories; 7. Extensionality in -calculus; 8. Extensionality in CL; 9. Correspondence between and CL; 10. Simple typing, Church-style; 11. Simple typing, Curry-style in CL; 12. Simple typing, Curry-style in ; 13. Generalizations of typing; 14. Models of CL; 15. Models of ; 16. Scott's D and other models; Appendix 1. -conversion; Appendix 2. Confluence proofs; Appendix 3. Normalization proofs; Appendix 4. Care of your pet combinator; Appendix 5. Answers to starred exercises; Bibliography; Index.
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