000 02926nam a22003738i 4500
001 CR9780511809835
003 UkCbUP
005 20200124160247.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 101021s2008||||enk o ||1 0|eng|d
020 _a9780511809835 (ebook)
020 _z9780521898850 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA9.5
_b.H565 2008
082 0 0 _a511.3/5
_222
100 1 _aHindley, J. Roger,
_eauthor.
245 1 0 _aLambda-calculus and combinators, an introduction /
_cJ. Roger Hindley, Jonathan P. Seldin.
246 3 _aLambda-Calculus & Combinators
250 _aSecond edition.
264 1 _aCambridge :
_bCambridge University Press,
_c2008.
300 _a1 online resource (xi, 345 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aPreface; 1. The lambda-calculus; 2. Combinatory logic; 3. The power of lambda and combinations; 4. Representing the computable functions; 5. Undecidability theorem; 6. Formal theories; 7. Extensionality in lambda-calculus; 8. Extensionality in CL; 9. Correspondence between lambda and CL; 10. Simple typing, Church-style; 11. Simple typing, Curry-style in CL; 12. Simple typing, Curry-style in lambda; 13. Generalizations of typing; 14. Models of CL; 15. Models of lambda-calculus; 16. Scott's D and other models; Appendix A1. Bound variables and alpha-conversion; Appendix A2. Confluence proofs; Appendix A3. Strong normalization proofs; Appendix A4. Care of your pet combinator; Appendix A5. Answers to starred exercises; Bibliography; Index.
520 _aCombinatory logic and lambda-calculus, originally devised in the 1920s, have since developed into linguistic tools, especially useful in programming languages. The authors' previous book served as the main reference for introductory courses on lambda-calculus for over 20 years: this version is thoroughly revised and offers an account of the subject with the same authoritative exposition. The grammar and basic properties of both combinatory logic and lambda-calculus are discussed, followed by an introduction to type-theory. Typed and untyped versions of the systems, and their differences, are covered. Lambda-calculus models, which lie behind much of the semantics of programming languages, are also explained in depth. 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.
650 0 _aLambda calculus.
650 0 _aCombinatory logic.
700 1 _aSeldin, J. P.,
_eauthor.
776 0 8 _iPrint version:
_z9780521898850
856 4 0 _uhttps://doi.org/10.1017/CBO9780511809835
999 _c519129
_d519127