Lambda calculus (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Lambda calculus" in English language version.

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17doi.org

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scholar.archive.org

Frandsen, Gudmund Skovbjerg; Sturtivant, Carl (26 August 1991). "What is an efficient implementation of the λ-calculus?". Functional Programming Languages and Computer Architecture: 5th ACM Conference. Cambridge, MA, USA, August 26-30, 1991. Proceedings. Lecture Notes in Computer Science. Vol. 523. Springer-Verlag. pp. 289–312. CiteSeerX 10.1.1.139.6913. doi:10.1007/3540543961_14. ISBN 9783540543961.

arxiv.org

Selinger, Peter (2008), Lecture Notes on the Lambda Calculus (PDF), vol. 0804, Department of Mathematics and Statistics, University of Ottawa, p. 9, arXiv:0804.3434, Bibcode:2008arXiv0804.3434S
Accattoli, Beniamino; Dal Lago, Ugo (14 July 2014). "Beta reduction is invariant, indeed". Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). pp. 1–10. arXiv:1601.01233. doi:10.1145/2603088.2603105. ISBN 9781450328869. S2CID 11485010.
Asperti, Andrea (16 Jan 2017). "About the efficient reduction of lambda terms". arXiv:1701.04240v1 [cs.LO].

books.google.com

Moortgat, Michael (1988). Categorial Investigations: Logical and Linguistic Aspects of the Lambek Calculus. Foris Publications. ISBN 9789067653879.
Bunt, Harry; Muskens, Reinhard, eds. (2008). Computing Meaning. Springer. ISBN 978-1-4020-5957-5.
Mitchell, John C. (2003). Concepts in Programming Languages. Cambridge University Press. p. 57. ISBN 978-0-521-78098-8..
Partee, B. B. H.; ter Meulen, A.; Wall, R. E. (1990). Mathematical Methods in Linguistics. Springer. ISBN 9789027722454. Retrieved 29 Dec 2016.
Pierce, Benjamin C. (2002). Types and Programming Languages. MIT Press. p. 56. ISBN 0-262-16209-1.

cmu.edu

cs.cmu.edu

Scott, Dana (1993). "A type-theoretical alternative to ISWIM, CUCH, OWHY" (PDF). Theoretical Computer Science. 121 (1–2): 411–440. doi:10.1016/0304-3975(93)90095-B. Retrieved 2022-12-01. Written 1969, widely circulated as an unpublished manuscript.

dagstuhl.de

drops.dagstuhl.de

Biernacka, Małgorzata; Charatonik, Witold; Drab, Tomasz (2022). Andronick, June; de Moura, Leonardo (eds.). "The Zoo of Lambda-Calculus Reduction Strategies, and Coq" (PDF). 13th International Conference on Interactive Theorem Proving (ITP 2022). 237. Schloss Dagstuhl – Leibniz-Zentrum für Informatik: 7:1–7:19. doi:10.4230/LIPIcs.ITP.2022.7. Retrieved 22 August 2022.

dal.ca

mathstat.dal.ca

Selinger, Peter (2008), Lecture Notes on the Lambda Calculus (PDF), vol. 0804, Department of Mathematics and Statistics, University of Ottawa, p. 9, arXiv:0804.3434, Bibcode:2008arXiv0804.3434S

doi.org

Turing, Alan M. (December 1937). "Computability and λ-Definability". The Journal of Symbolic Logic. 2 (4): 153–163. doi:10.2307/2268280. JSTOR 2268280. S2CID 2317046.
Church, Alonzo (1932). "A set of postulates for the foundation of logic". Annals of Mathematics. Series 2. 33 (2): 346–366. doi:10.2307/1968337. JSTOR 1968337.
Kleene, Stephen C.; Rosser, J. B. (July 1935). "The Inconsistency of Certain Formal Logics". The Annals of Mathematics. 36 (3): 630. doi:10.2307/1968646. JSTOR 1968646.
Church, Alonzo (December 1942). "Review of Haskell B. Curry, The Inconsistency of Certain Formal Logics". The Journal of Symbolic Logic. 7 (4): 170–171. doi:10.2307/2268117. JSTOR 2268117.
Church, Alonzo (1936). "An unsolvable problem of elementary number theory". American Journal of Mathematics. 58 (2): 345–363. doi:10.2307/2371045. JSTOR 2371045.
Church, Alonzo (1940). "A Formulation of the Simple Theory of Types". Journal of Symbolic Logic. 5 (2): 56–68. doi:10.2307/2266170. JSTOR 2266170. S2CID 15889861.
de Queiroz, Ruy J. G. B. (1988). "A Proof-Theoretic Account of Programming and the Role of Reduction Rules". Dialectica. 42 (4): 265–282. doi:10.1111/j.1746-8361.1988.tb00919.x.
Dezani-Ciancaglini, Mariangiola; Ghilezan, Silvia (2014). "Preciseness of Subtyping on Intersection and Union Types" (PDF). Rewriting and Typed Lambda Calculi. Lecture Notes in Computer Science. Vol. 8560. p. 196. doi:10.1007/978-3-319-08918-8_14. hdl:2318/149874. ISBN 978-3-319-08917-1. Retrieved 14 January 2022.
Forster, Yannick; Smolka, Gert (August 2019). "Call-by-Value Lambda Calculus as a Model of Computation in Coq" (PDF). Journal of Automated Reasoning. 63 (2): 393–413. doi:10.1007/s10817-018-9484-2. S2CID 53087112. Retrieved 14 January 2022.
Sestoft, Peter (2002). "Demonstrating Lambda Calculus Reduction" (PDF). The Essence of Computation. Lecture Notes in Computer Science. Vol. 2566. pp. 420–435. doi:10.1007/3-540-36377-7_19. ISBN 978-3-540-00326-7. Retrieved 22 August 2022.
Biernacka, Małgorzata; Charatonik, Witold; Drab, Tomasz (2022). Andronick, June; de Moura, Leonardo (eds.). "The Zoo of Lambda-Calculus Reduction Strategies, and Coq" (PDF). 13th International Conference on Interactive Theorem Proving (ITP 2022). 237. Schloss Dagstuhl – Leibniz-Zentrum für Informatik: 7:1–7:19. doi:10.4230/LIPIcs.ITP.2022.7. Retrieved 22 August 2022.
Frandsen, Gudmund Skovbjerg; Sturtivant, Carl (26 August 1991). "What is an efficient implementation of the λ-calculus?". Functional Programming Languages and Computer Architecture: 5th ACM Conference. Cambridge, MA, USA, August 26-30, 1991. Proceedings. Lecture Notes in Computer Science. Vol. 523. Springer-Verlag. pp. 289–312. CiteSeerX 10.1.1.139.6913. doi:10.1007/3540543961_14. ISBN 9783540543961.
Sinot, F.-R. (2005). "Director Strings Revisited: A Generic Approach to the Efficient Representation of Free Variables in Higher-order Rewriting" (PDF). Journal of Logic and Computation. 15 (2): 201–218. doi:10.1093/logcom/exi010.
Accattoli, Beniamino; Dal Lago, Ugo (14 July 2014). "Beta reduction is invariant, indeed". Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). pp. 1–10. arXiv:1601.01233. doi:10.1145/2603088.2603105. ISBN 9781450328869. S2CID 11485010.
Accattoli, Beniamino (October 2018). "(In)Efficiency and Reasonable Cost Models". Electronic Notes in Theoretical Computer Science. 338: 23–43. doi:10.1016/j.entcs.2018.10.003.
Landin, P. J. (1965). "A Correspondence between ALGOL 60 and Church's Lambda-notation". Communications of the ACM. 8 (2): 89–101. doi:10.1145/363744.363749. S2CID 6505810.
Scott, Dana (1993). "A type-theoretical alternative to ISWIM, CUCH, OWHY" (PDF). Theoretical Computer Science. 121 (1–2): 411–440. doi:10.1016/0304-3975(93)90095-B. Retrieved 2022-12-01. Written 1969, widely circulated as an unpublished manuscript.

elsevier.com

Barendregt, Hendrik Pieter (1984). The Lambda Calculus: Its Syntax and Semantics. Studies in Logic and the Foundations of Mathematics. Vol. 103 (Revised ed.). North Holland. ISBN 0-444-87508-5. (Corrections).

handle.net

hdl.handle.net

Dezani-Ciancaglini, Mariangiola; Ghilezan, Silvia (2014). "Preciseness of Subtyping on Intersection and Union Types" (PDF). Rewriting and Typed Lambda Calculi. Lecture Notes in Computer Science. Vol. 8560. p. 196. doi:10.1007/978-3-319-08918-8_14. hdl:2318/149874. ISBN 978-3-319-08917-1. Retrieved 14 January 2022.

harvard.edu

ui.adsabs.harvard.edu

Selinger, Peter (2008), Lecture Notes on the Lambda Calculus (PDF), vol. 0804, Department of Mathematics and Statistics, University of Ottawa, p. 9, arXiv:0804.3434, Bibcode:2008arXiv0804.3434S

haskell.org

mail.haskell.org

Luke Palmer (29 Dec 2010) Haskell-cafe: What's the motivation for η rules?

hw.ac.uk

macs.hw.ac.uk

"Greg Michaelson's Homepage". Mathematical and Computer Sciences. Riccarton, Edinburgh: Heriot-Watt University. Retrieved 6 November 2022.

itu.dk

Sestoft, Peter (2002). "Demonstrating Lambda Calculus Reduction" (PDF). The Essence of Computation. Lecture Notes in Computer Science. Vol. 2566. pp. 420–435. doi:10.1007/3-540-36377-7_19. ISBN 978-3-540-00326-7. Retrieved 22 August 2022.

jstor.org

Turing, Alan M. (December 1937). "Computability and λ-Definability". The Journal of Symbolic Logic. 2 (4): 153–163. doi:10.2307/2268280. JSTOR 2268280. S2CID 2317046.
Church, Alonzo (1932). "A set of postulates for the foundation of logic". Annals of Mathematics. Series 2. 33 (2): 346–366. doi:10.2307/1968337. JSTOR 1968337.
Kleene, Stephen C.; Rosser, J. B. (July 1935). "The Inconsistency of Certain Formal Logics". The Annals of Mathematics. 36 (3): 630. doi:10.2307/1968646. JSTOR 1968646.
Church, Alonzo (December 1942). "Review of Haskell B. Curry, The Inconsistency of Certain Formal Logics". The Journal of Symbolic Logic. 7 (4): 170–171. doi:10.2307/2268117. JSTOR 2268117.
Church, Alonzo (1936). "An unsolvable problem of elementary number theory". American Journal of Mathematics. 58 (2): 345–363. doi:10.2307/2371045. JSTOR 2371045.
Church, Alonzo (1940). "A Formulation of the Simple Theory of Types". Journal of Symbolic Logic. 5 (2): 56–68. doi:10.2307/2266170. JSTOR 2266170. S2CID 15889861.

lambda-bound.com

"Example for Rules of Associativity". Lambda-bound.com. Retrieved 2012-06-18.

lsv.fr

Sinot, F.-R. (2005). "Director Strings Revisited: A Generic Approach to the Efficient Representation of Free Variables in Higher-order Rewriting" (PDF). Journal of Logic and Computation. 15 (2): 201–218. doi:10.1093/logcom/exi010.

ncatlab.org

explicit substitution at the nLab

ox.ac.uk

cs.ox.ac.uk

Ker, Andrew D. "Lambda Calculus and Types" (PDF). p. 6. Retrieved 14 January 2022.

psu.edu

citeseerx.ist.psu.edu

Frandsen, Gudmund Skovbjerg; Sturtivant, Carl (26 August 1991). "What is an efficient implementation of the λ-calculus?". Functional Programming Languages and Computer Architecture: 5th ACM Conference. Cambridge, MA, USA, August 26-30, 1991. Proceedings. Lecture Notes in Computer Science. Vol. 523. Springer-Verlag. pp. 289–312. CiteSeerX 10.1.1.139.6913. doi:10.1007/3540543961_14. ISBN 9783540543961.

researchgate.net

Chacón Sartori, Camilo (2023-12-05). Introduction to Lambda Calculus using Racket (Technical report). Archived from the original on 2023-12-07.

ru.nl

ftp.science.ru.nl

Barendregt, Henk; Barendsen, Erik (March 2000), Introduction to Lambda Calculus (PDF)
Barendregt, Hendrik Pieter (1984). The Lambda Calculus: Its Syntax and Semantics. Studies in Logic and the Foundations of Mathematics. Vol. 103 (Revised ed.). North Holland. ISBN 0-444-87508-5. (Corrections).

semanticscholar.org

api.semanticscholar.org

Turing, Alan M. (December 1937). "Computability and λ-Definability". The Journal of Symbolic Logic. 2 (4): 153–163. doi:10.2307/2268280. JSTOR 2268280. S2CID 2317046.
Church, Alonzo (1940). "A Formulation of the Simple Theory of Types". Journal of Symbolic Logic. 5 (2): 56–68. doi:10.2307/2266170. JSTOR 2266170. S2CID 15889861.
Forster, Yannick; Smolka, Gert (August 2019). "Call-by-Value Lambda Calculus as a Model of Computation in Coq" (PDF). Journal of Automated Reasoning. 63 (2): 393–413. doi:10.1007/s10817-018-9484-2. S2CID 53087112. Retrieved 14 January 2022.
Accattoli, Beniamino; Dal Lago, Ugo (14 July 2014). "Beta reduction is invariant, indeed". Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). pp. 1–10. arXiv:1601.01233. doi:10.1145/2603088.2603105. ISBN 9781450328869. S2CID 11485010.
Landin, P. J. (1965). "A Correspondence between ALGOL 60 and Church's Lambda-notation". Communications of the ACM. 8 (2): 89–101. doi:10.1145/363744.363749. S2CID 6505810.

softoption.us

"The Basic Grammar of Lambda Expressions". SoftOption. Some other systems use juxtaposition to mean application, so 'ab' means 'a@b'. This is fine except that it requires that variables have length one so that we know that 'ab' is two variables juxtaposed not one variable of length 2. But we want to labels like 'firstVariable' to mean a single variable, so we cannot use this juxtaposition convention.

stanford.edu

plato.stanford.edu

Coquand, Thierry (8 February 2006). Zalta, Edward N. (ed.). "Type Theory". The Stanford Encyclopedia of Philosophy (Summer 2013 ed.). Retrieved November 17, 2020.
Alama, Jesse. Zalta, Edward N. (ed.). "The Lambda Calculus". The Stanford Encyclopedia of Philosophy (Summer 2013 ed.). Retrieved November 17, 2020.

uni-saarland.de

ps.uni-saarland.de

Forster, Yannick; Smolka, Gert (August 2019). "Call-by-Value Lambda Calculus as a Model of Computation in Coq" (PDF). Journal of Automated Reasoning. 63 (2): 393–413. doi:10.1007/s10817-018-9484-2. S2CID 53087112. Retrieved 14 January 2022.

unito.it

di.unito.it

Dezani-Ciancaglini, Mariangiola; Ghilezan, Silvia (2014). "Preciseness of Subtyping on Intersection and Union Types" (PDF). Rewriting and Typed Lambda Calculi. Lecture Notes in Computer Science. Vol. 8560. p. 196. doi:10.1007/978-3-319-08918-8_14. hdl:2318/149874. ISBN 978-3-319-08917-1. Retrieved 14 January 2022.

uoregon.edu

ix.cs.uoregon.edu

Zena M. Ariola and Stefan Blom, Proc. TACS '94 Sendai, Japan 1997 (1997) Cyclic lambda calculi 114 pages.

utah.edu

cs.utah.edu

Felleisen, Matthias; Flatt, Matthew (2006), Programming Languages and Lambda Calculi (PDF), p. 26, archived from the original (PDF) on 2009-02-05; A note (accessed 2017) at the original location suggests that the authors consider the work originally referenced to have been superseded by a book.

web.archive.org

Chacón Sartori, Camilo (2023-12-05). Introduction to Lambda Calculus using Racket (Technical report). Archived from the original on 2023-12-07.
Felleisen, Matthias; Flatt, Matthew (2006), Programming Languages and Lambda Calculi (PDF), p. 26, archived from the original (PDF) on 2009-02-05; A note (accessed 2017) at the original location suggests that the authors consider the work originally referenced to have been superseded by a book.

youtube.com

Dana Scott, "Looking Backward; Looking Forward", Invited Talk at the Workshop in honour of Dana Scott’s 85th birthday and 50 years of domain theory, 7–8 July, FLoC 2018 (talk 7 July 2018). The relevant passage begins at 32:50. (See also this extract of a May 2016 talk at the University of Birmingham, UK.)