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Closure (computer programming)
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== History and etymology == The concept of closures was developed in the 1960s for the mechanical evaluation of expressions in the [[λ-calculus]] and was first fully implemented in 1970 as a language feature in the [[PAL (programming language)|PAL programming language]] to support lexically scoped [[first-class function]]s.<ref name=dat2012>{{cite conference |author-link=David A. Turner |first=David A. |last=Turner |year=2012 |url=http://www.cs.kent.ac.uk/people/staff/dat/tfp12/tfp12.pdf |title=Some History of Functional Programming Languages |book-title=International Symposium on Trends in Functional Programming |pages=1–20 See 12 §2, note 8 for the claim about M-expressions |publisher=Springer |doi=10.1007/978-3-642-40447-4_1 |isbn=978-3-642-40447-4 |series=Lecture Notes in Computer Science |volume=7829}}</ref> [[Peter Landin]] defined the term ''closure'' in 1964 as having an ''environment part'' and a ''control part'' as used by his [[SECD machine]] for evaluating expressions.<ref name=landin> {{cite journal |last=Landin |first=P.J. |author-link=Peter Landin |title=The mechanical evaluation of expressions |journal=The Computer Journal |volume=6 |issue=4 |date=January 1964 |pages=308–320 |doi=10.1093/comjnl/6.4.308 |url=https://academic.oup.com/comjnl/article-pdf/6/4/308/1067901/6-4-308.pdf }}</ref> [[Joel Moses]] credits Landin with introducing the term ''closure'' to refer to a [[Anonymous function|lambda expression]] with open bindings (free variables) that have been closed by (or bound in) the lexical environment, resulting in a ''closed expression'', or closure.<ref> {{cite journal |last=Moses |first=Joel |author-link=Joel Moses |date=June 1970 |title=The Function of FUNCTION in LISP, or Why the FUNARG Problem Should Be Called the Environment Problem |journal=ACM SIGSAM Bulletin |issue=15 |pages=13–27 |doi=10.1145/1093410.1093411 |id=[[AI Memo]] 199 |quote=A useful metaphor for the difference between FUNCTION and QUOTE in LISP is to think of QUOTE as a porous or an open covering of the function since free variables escape to the current environment. FUNCTION acts as a closed or nonporous covering (hence the term "closure" used by Landin). Thus we talk of "open" Lambda expressions (functions in LISP are usually Lambda expressions) and "closed" Lambda expressions. [...] My interest in the environment problem began while Landin, who had a deep understanding of the problem, visited MIT during 1966–67. I then realized the correspondence between the FUNARG lists which are the results of the evaluation of "closed" Lambda expressions in [[LISP 1.5|LISP]] and [[ISWIM]]'s Lambda Closures.|hdl=1721.1/5854|s2cid=17514262 |hdl-access=free }}</ref><ref>{{cite book |last=Wikström |first=Åke |year=1987 |title=Functional Programming using Standard ML |publisher=Prentice Hall |isbn=0-13-331968-7 |quote=The reason it is called a "closure" is that an expression containing free variables is called an "open" expression, and by associating to it the bindings of its free variables, you close it.}}</ref> This use was subsequently adopted by [[Gerald Jay Sussman|Sussman]] and [[Guy L. Steele Jr.|Steele]] when they defined [[Scheme (programming language)|Scheme]] in 1975,<ref>{{cite report |last1=Sussman |first1=Gerald Jay |author1-link=Gerald Jay Sussman |last2=Steele |first2=Guy L. Jr. |author2-link=Guy L. Steele Jr. |date=December 1975 |title=Scheme: An Interpreter for the Extended Lambda Calculus |id=[[AI Memo]] 349}}</ref> a lexically scoped variant of [[Lisp (programming language)|Lisp]], and became widespread. Sussman and [[Harold Abelson|Abelson]] also use the term ''closure'' in the 1980s with a second, unrelated meaning: the property of an operator that adds data to a [[data structure]] to also be able to add nested data structures. This use of the term comes from [[Closure (mathematics)|mathematics use]], rather than the prior use in computer science. The authors consider this overlap in terminology to be "unfortunate."<ref>{{cite book |last1=Abelson |first1=Harold |author1-link=Harold Abelson |last2=Sussman |first2=Gerald Jay |author2-link=Gerald Jay Sussman |last3=Sussman |first3=Julie |author3-link=Julie Sussman |date=1996 |title=Structure and Interpretation of Computer Programs |url=https://mitpress.mit.edu/sites/default/files/sicp/full-text/book/book.html |publisher=MIT Press |pages=98–99 |isbn=0-262-51087-1}}</ref>
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