Operators

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Operators

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ACM Transactions on Programming Languages and Systems (TOPLAS) archive
Volume 1 , Issue 2 (October 1979) table of contents

Pages: 161 - 176

Year of Publication: 1979

ISSN:0164-0925

Author

Kenneth E. Iverson

T.J. Watson Research Center, P.O. Box 218, Yorktown Hts., NY

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 2, Downloads (12 Months): 43, Citation Count: 26

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ABSTRACT

Although operators, which apply to functions to produce functions, prove very useful in mathematics, they are absent from most programming languages. This paper illustrates their simplicity and power in terms of the operators of APL, and examines related constructs in other programming languages.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	The International Dictionary of Applied Mathematics, Van Nostrand, Princeton, N.J., 1960.
	2	APL Language, Form GC26-3847, IBM Corporation.
	3	Falkoff, A.D., and Iverson, K.E. The design of APL. IBM J. Res. Develop. 16, 4 (July 1973).
	4	Adin D. Falkoff , Kenneth E. Iverson, The evolution of APL, The first ACM SIGPLAN conference on History of programming languages, p.47-57, June 01-03, 1978, Los Angeles, CA [doi>10.1145/960118.808372]
	5	Kenneth E. Iverson, The role of operators in APL, ACM SIGAPL APL Quote Quad, v.9 n.4, p.128-133, June 1979
	6	Kenneth E. Iverson, A Programming Language., John Wiley & Sons, 1962
	7	Iverson, K.E. Operators and functions, Res. Rep. RC7091, IBM Corporation, 1978.
	8	Kenneth E. Iverson, Two combinatoric operators, Proceedings of the eighth international conference on APL, p.233-237, September 22-24, 1976, Ottawa, Canada [doi>10.1145/800114.803681]
	9	Kenneth E. Iverson, The derivative operator, ACM SIGAPL APL Quote Quad, v.9 n.4, p.347-354, June 1979

CITED BY 26

	Peter Buneman , Robert E. Frankel , Rishiyur Nikhil, An implementation technique for database query languages, ACM Transactions on Database Systems (TODS), v.7 n.2, p.164-186, June 1982
	Raymond C. Hooker, APL programming: A psychological model, ACM SIGAPL APL Quote Quad, v.14 n.4, p.207-211, June 1984
	Richard C. Waters, Automatic transformation of series expressions into loops, ACM Transactions on Programming Languages and Systems (TOPLAS), v.13 n.1, p.52-98, Jan. 1991
	Edward Cherlin, Pure functions in APL and J, ACM SIGAPL APL Quote Quad, v.21 n.4, p.88-93, Aug. 1991
	E. E. McDonnell , K. E. Iverson, Phrasal forms, ACM SIGAPL APL Quote Quad, v.19 n.4, p.197-199, Aug. 1989
	Kenneth E. Iverson, Notation as a tool of thought, Communications of the ACM, v.23 n.8, p.444-465, Aug. 1980
	Tim Sheard, Automatic generation and use of abstract structure operators, ACM Transactions on Programming Languages and Systems (TOPLAS), v.13 n.4, p.531-557, Oct. 1991
	M. P. Georgeff , I. Fris , J. Kautsky, Parsing and evaluation of APL with operators, ACM SIGAPL APL Quote Quad, v.12 n.1, p.117-124, September 1981
	Martin Hardwick, Extending the relational database data model for design applications, Proceedings of the 21st conference on Design automation, p.110-116, June 25-27, 1984, Albuquerque, New Mexico, United States
	Raymond C. Hooker, APL programming: A psychological model, ACM SIGAPL APL Quote Quad, v.14 n.4, p.207-211, June 1984
	P. Geoffrey Lowney, Carrier arrays: an idiom-preserving extension to APL, Proceedings of the 8th ACM SIGPLAN-SIGACT symposium on Principles of programming languages, p.1-13, January 26-28, 1981, Williamsburg, Virginia
	Michael F. C. Crick, Right to left or left to right!, ACM SIGAPL APL Quote Quad, v.10 n.3, March 1980
	Philip Wadler, Applicative style programming, program transformation, and list operators, Proceedings of the 1981 conference on Functional programming languages and computer architecture, p.25-32, October 18-22, 1981, Portsmouth, New Hampshire, United States
	Robert D. Cameron, Efficient high-level iteration with accumulators, ACM Transactions on Programming Languages and Systems (TOPLAS), v.11 n.2, p.194-211, April 1989
	Malcolm P. Atkinson , O. Peter Buneman, Types and persistence in database programming languages, ACM Computing Surveys (CSUR), v.19 n.2, p.105-170, June 1987
	Michael W. Condry, Paging as a "language processing" task, Proceedings of the 8th ACM SIGPLAN-SIGACT symposium on Principles of programming languages, p.63-76, January 26-28, 1981, Williamsburg, Virginia
	Michael F. C. Crick, An ASCII notation for APL, ACM SIGAPL APL Quote Quad, v.11 n.1, September 1980
	Philippe Mougin , Stéphane Ducasse, OOPAL: integrating array programming in object-oriented programming, ACM SIGPLAN Notices, v.38 n.11, November 2003
	Karl Fritz Ruehr, A survey of extensions to APL, ACM SIGAPL APL Quote Quad, v.13 n.1, p.277-314, September 1982
	Aarno Hohti, Computational algebra with APL, ACM SIGSAM Bulletin, v.22 n.1, p.12-20, Jan. 1988
	D. Kapur , D. R. Musser , A. A. Stepanov, Operators and algebraic structures, Proceedings of the 1981 conference on Functional programming languages and computer architecture, p.59-64, October 18-22, 1981, Portsmouth, New Hampshire, United States
	Randall Mercer, A based system for general arrays, ACM SIGAPL APL Quote Quad, v.12 n.2, December 1981
	Uday S. Reddy, Programming with sequences, Proceedings of the 20th annual Southeast regional conference, p.189-198, April 01-03, 1982, Knoxville, Tennessee
	Kenneth E. Iverson, Notation as a tool of thought, ACM SIGAPL APL Quote Quad, v.35 n.1-2, p.2-31, March, June 2007
	David Ungar , Randall B. Smith, Self, Proceedings of the third ACM SIGPLAN conference on History of programming languages, p.9-1-9-50, June 09-10, 2007, San Diego, California
	G. G. Gustafson , T. A. Johnson , G. S. Key, Some practical experiences with the Pascal language, Proceedings of the May 19-22, 1980, national computer conference, May 19-22, 1980, Anaheim, California