Histopathology image classification: Highlighting the gap between manual analysis and AI automation

Posted on May 21, 2024 By LabLynx Journal articles

"Setl" redirects here. For the indigenous location in Canada, see Bridge River Rapids.
SETL
Paradigmmulti-paradigm: imperative, procedural, structured, object-oriented
Designed by(Jack) Jacob T. Schwartz
DeveloperCourant Institute of Mathematical Sciences
First appeared1969; 55 years ago (1969)
Stable release
1.1 / January 7, 2005; 19 years ago (2005-01-07)
Typing disciplineDynamic
Websitesetl.org
Influenced by
ALGOL 60
Influenced
SETL2, ISETL, SETLX, Starset, ABC

SETL (SET Language) is a very high-level programming language[1] based on the mathematical theory of sets.[2][3] It was originally developed at the New York University (NYU) Courant Institute of Mathematical Sciences in the late 1960s, by a group containing (Jack) Jacob T. Schwartz,[1][3] R.B.K. Dewar, and E. Schonberg.[1] Schwartz is credited with designing the language.[4]

Design

SETL provides two basic aggregate data types: (unordered) sets, and tuples.[1][2][5] The elements of sets and tuples can be of any arbitrary type, including sets and tuples themselves, except the undefined value om[1] (sometimes capitalized: OM).[6] Maps are provided as sets of pairs (i.e., tuples of length 2) and can have arbitrary domain and range types.[1][5] Primitive operations in SETL include set membership, union, intersection, and power set construction, among others.[1][7]

SETL provides quantified boolean expressions constructed using the universal and existential quantifiers of first-order predicate logic.[1][7]

SETL provides several iterators to produce a variety of loops over aggregate data structures.[1][8]

Examples

Print all prime numbers from 2 to N: 

print([n in [2..N] | forall m in {2..n - 1} | n mod m > 0]);

The notation is similar to list comprehension.

A factorial procedure definition: 

procedure factorial(n); -- calculates the factorial n!
  return if n = 1 then 1 else n * factorial(n - 1) end if;
end factorial;

A more conventional SETL expression for factorial (n > 0): 

*/[1..n]

Uses

Implementations of SETL were available on the DEC VAX, IBM/370, SUN workstation and APOLLO.[9] In the 1970s, SETL was ported to the BESM-6, ES EVM and other Russian computer systems.[10]

SETL was used for an early implementation of the programming language Ada, named the NYU Ada/ED translator.[11] This later became the first validated Ada implementation, certified on April 11, 1983.[12]

According to Guido van Rossum, "Python's predecessor, ABC, was inspired by SETL -- Lambert Meertens spent a year with the SETL group at NYU before coming up with the final ABC design!"[13]

Language variants

SET Language 2 (SETL2), a backward incompatible descendant of SETL, was created by Kirk Snyder of the Courant Institute of Mathematical Sciences at New York University in the late 1980s.[14] Like its predecessor, it is based on the theory and notation of finite sets, but has also been influenced in syntax and style by the Ada language.[14]

Interactive SET Language (ISETL) is a variant of SETL used in discrete mathematics.[15]

GNU SETL is a command-line utility that extends and implements SETL.[16]

References

  1. ^ a b c d e f g h i Schwartz, J. T.; Dewar, R. B. K.; Schonberg, E.; Dubinsky, E. (1986). "Programming with Sets". SpringerLink: v–vii, 2, 48, 53, 57–58, 63, 113ff. doi:10.1007/978-1-4613-9575-1.
  2. ^ a b "GNU SETL Om". setl.org. Retrieved 2024-04-24.
  3. ^ a b Markoff, John (2009-03-04). "Jacob T. Schwartz, 79, Restless Scientist, Dies". The New York Times. ISSN 0362-4331. Retrieved 2024-04-24.
  4. ^ Computational Logic and Set Theory. pp. vii. doi:10.1007/978-0-85729-808-9.
  5. ^ a b "CHAPTER 2". www.settheory.com. Retrieved 2024-04-24.
  6. ^ "CHAPTER 3". www.settheory.com. Retrieved 2024-04-24.
  7. ^ a b "CHAPTER 3". www.settheory.com. Retrieved 2024-04-24.
  8. ^ "CHAPTER 4". www.settheory.com. Retrieved 2024-04-24.
  9. ^ J.T. Schwartz; R.B.K. Dewar; E. Dubinsky; E. Schonberg (1986). Programming with sets. An Introduction to SETL. Springer-Verlag New York Inc. ISBN 978-1-4613-9577-5.
  10. ^ И.В. Поттосин, ed. (2001). Становление новосибирской школы программирования (мозаика воспоминаний) [Formation of the Novosibirsk school of programming (mosaic of memories)] (PDF) (in Russian). Новосибирск: Институт систем информатики им. А. П. Ершова СО РАН. pp. 106–113.
  11. ^ Dewar, Robert B. K.; Fisher Jr., Gerald A.; Schonberg, Edmond; Froelich, Robert; Bryant, Stephen; Goss, Clinton F.; Burke, Michael (November 1980). "The NYU Ada translator and interpreter". Proceeding of the ACM-SIGPLAN symposium on Ada programming language - SIGPLAN '80. Vol. 15. pp. 194–201. doi:10.1145/948632.948659. ISBN 0-89791-030-3. S2CID 10586359.
  12. ^ SofTech Inc., Waltham, MA (1983-04-11). "Ada Compiler Validation Summary Report: NYU Ada/ED, Version 19.7 V-001". Archived from the original on June 7, 2017. Retrieved 2010-12-16.{{cite web}}: CS1 maint: multiple names: authors list (link)
  13. ^ Python-Dev: SETL (was: Lukewarm about range literals)
  14. ^ a b "SETL2 - EDM2". www.edm2.com. Retrieved 2024-04-24.
  15. ^ Baxter Hastings, Nancy; Dubinsky, Ed; Levin, Gary (1989). Learning discrete mathematics with ISETL. New York: Springer-Verlag. ISBN 978-0-387-96898-8.
  16. ^ "GNU SETL". setl.org. Retrieved 2024-04-24.

Further reading

  • Schwartz, Jacob T., "Set Theory as a Language for Program Specification and Programming". Courant Institute of Mathematical Sciences, New York University, 1970.
  • Schwartz, Jacob T., "On Programming, An Interim Report on the SETL Project", Computer Science Department, Courant Institute of Mathematical Sciences, New York University (1973).
  • Schwartz, Jacob T., Dewar, R.B.K., Dubinsky, E., and Schonberg, E., Programming With Sets: An Introduction to SETL, 1986. ISBN 0-387-96399-5.
source: https://en.wikipedia.org/wiki/SETL

    by LabLynx

    Website

    Related Posts