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ALGOL

ALGOL (/ˈælɡɒl, -ɡɔːl/; short for "Algorithmic Language")[1] is a family of imperative computer programming languages originally developed in 1958. ALGOL heavily influenced many other languages and was the standard method for algorithm description used by the Association for Computing Machinery (ACM) in textbooks and academic sources for more than thirty years.[2]

ALGOL
A 1965 manual for ALGOL-20
ParadigmProcedural, imperative, structured
FamilyALGOL
Designed byBauer, Bottenbruch, Rutishauser, Samelson, Backus, Katz, Perlis, Wegstein, Naur, Vauquois, van Wijngaarden, Woodger, Green, McCarthy
First appeared1958; 66 years ago (1958)
Typing disciplineStatic, strong
ScopeLexical
Influenced
Most subsequent imperative languages (including so-called ALGOL-like languages)
e.g. PL/I, Simula, Pascal, C and Scheme

In the sense that the syntax of most modern languages is "Algol-like",[3] it was arguably more influential than three other high-level programming languages among which it was roughly contemporary: FORTRAN, Lisp, and COBOL.[4] It was designed to avoid some of the perceived problems with FORTRAN and eventually gave rise to many other programming languages, including PL/I, Simula, BCPL, B, Pascal, Ada, and C.

ALGOL introduced code blocks and the begin...end pairs for delimiting them. It was also the first language implementing nested function definitions with lexical scope. Moreover, it was the first programming language which gave detailed attention to formal language definition and through the Algol 60 Report introduced Backus–Naur form, a principal formal grammar notation for language design.

There were three major specifications, named after the years they were first published:

  • ALGOL 58 – originally proposed to be called IAL, for International Algebraic Language.
  • ALGOL 60 – first implemented as X1 ALGOL 60 in 1961. Revised 1963.[5][6][7]
  • ALGOL 68 – introduced new elements including flexible arrays, slices, parallelism, operator identification. Revised 1973.[8]

ALGOL 68 is substantially different from ALGOL 60 and was not well received,[according to whom?] so reference to "Algol" is generally understood to mean ALGOL 60 and its dialects.[citation needed]

History edit

ALGOL was developed jointly by a committee of European and American computer scientists in a meeting in 1958 at the Swiss Federal Institute of Technology in Zurich (cf. ALGOL 58).[9] It specified three different syntaxes: a reference syntax, a publication syntax, and an implementation syntax, syntaxes that permitted it to use different keyword names and conventions for decimal points (commas vs periods) for different languages.[citation needed]

ALGOL was used mostly by research computer scientists in the United States and in Europe; commercial applications were hindered by the absence of standard input/output facilities in its description, and the lack of interest in the language by large computer vendors (other than Burroughs Corporation).[citation needed] ALGOL 60 did however become the standard for the publication of algorithms and had a profound effect on future language development.[according to whom?]

 
Family tree of the Algol, Fortran and COBOL programming language dynasty

John Backus developed the Backus normal form method of describing programming languages specifically for ALGOL 58. It was revised and expanded by Peter Naur for ALGOL 60, and at Donald Knuth's suggestion renamed Backus–Naur form.[10]

Peter Naur: "As editor of the ALGOL Bulletin I was drawn into the international discussions of the language and was selected to be member of the European language design group in November 1959. In this capacity I was the editor of the ALGOL 60 report, produced as the result of the ALGOL 60 meeting in Paris in January 1960."[11]

The following people attended the meeting in Paris (from 1 to 16 January):[citation needed]

Alan Perlis gave a vivid description of the meeting: "The meetings were exhausting, interminable, and exhilarating. One became aggravated when one's good ideas were discarded along with the bad ones of others. Nevertheless, diligence persisted during the entire period. The chemistry of the 13 was excellent."[This quote needs a citation]

ALGOL 60 inspired many languages that followed it. Tony Hoare remarked: "Here is a language so far ahead of its time that it was not only an improvement on its predecessors but also on nearly all its successors."[12] The Scheme programming language, a variant of Lisp that adopted the block structure and lexical scope of ALGOL, also adopted the wording "Revised Report on the Algorithmic Language Scheme" for its standards documents in homage to ALGOL.[13]

ALGOL and programming language research edit

As Peter Landin noted,[citation needed] ALGOL was the first language to combine seamlessly imperative effects with the (call-by-name) lambda calculus.[citation needed] Perhaps the most elegant formulation of the language is due to John C. Reynolds, and it best exhibits its syntactic and semantic purity.[according to whom?] Reynolds's idealized ALGOL also made a convincing methodologic argument regarding the suitability of local effects in the context of call-by-name languages, in contrast with the global effects used by call-by-value languages such as ML.[citation needed] The conceptual integrity of the language made it one of the main objects of semantic research, along with Programming Computable Functions (PCF) and ML.[citation needed]

IAL implementations timeline edit

To date there have been at least 70 augmentations, extensions, derivations and sublanguages of Algol 60.[14]

Name Year Author Country Description Target CPU
ZMMD-implementation 1958 Friedrich L. Bauer, Heinz Rutishauser, Klaus Samelson, Hermann Bottenbruch   Germany implementation of ALGOL 58 Z22
(later Zuse's Z23 was delivered with an Algol 60 compiler)[15]
X1 ALGOL 60 1960 August[16] Edsger W. Dijkstra and Jaap A. Zonneveld   Netherlands First implementation of ALGOL 60[17] Electrologica X1
Elliott ALGOL 1960s C. A. R. Hoare   UK Subject of the 1980 Turing Award Lecture[18] Elliott 803, Elliott 503, Elliott 4100 series
JOVIAL 1960 Jules Schwartz   US A DOD HOL prior to Ada Various (see article)
Burroughs Algol
(Several variants)
1961 Burroughs Corporation (with participation by Hoare, Dijkstra, and others)   US Basis of the Burroughs (and now Unisys MCP based) computers Burroughs Large Systems and their midrange also.
Case ALGOL 1961 Case Institute of Technology[19]   US Simula was originally contracted as a simulation extension of the Case ALGOL UNIVAC 1107
GOGOL 1961 William M. McKeeman   US For ODIN time-sharing system[20] PDP-1
RegneCentralen ALGOL 1961 Peter Naur, Jørn Jensen   Denmark Implementation of full Algol 60 DASK at Regnecentralen
Dartmouth ALGOL 30 1962 Thomas Eugene Kurtz et al.   US LGP-30
USS 90 Algol 1962 L. Petrone   Italy
ALGOL 60 1962 Bernard Vauquois, Louis Bolliet[21]   France Institut d'Informatique et Mathématiques Appliquées de Grenoble (IMAG) and Compagnie des Machines Bull Bull Gamma 60
Algol Translator 1962 G. van der Mey and W.L. van der Poel   Netherlands Staatsbedrijf der Posterijen, Telegrafie en Telefonie ZEBRA
Kidsgrove Algol 1963 F. G. Duncan   UK English Electric Company KDF9
VALGOL 1963 Val Schorre   US A test of the META II compiler compiler
Whetstone 1964 Brian Randell and L. J. Russell   UK Atomic Power Division of English Electric Company. Precursor to Ferranti Pegasus, National Physical Laboratories ACE and English Electric DEUCE implementations. English Electric Company KDF9
NU ALGOL 1965   Norway UNIVAC
ALGEK 1965   Soviet Union АЛГЭК, based on ALGOL-60 and COBOL support, for economical tasks Minsk-22
ALGOL W 1966 Niklaus Wirth   US Proposed successor to ALGOL 60 IBM System/360
MALGOL 1966 publ. A. Viil, M Kotli & M. Rakhendi,   Estonian SSR Minsk-22
ALGAMS 1967 GAMS group (ГАМС, группа автоматизации программирования для машин среднего класса), cooperation of Comecon Academies of Science Comecon Minsk-22, later ES EVM, BESM
ALGOL/ZAM 1967   Poland Polish ZAM computer
Simula 67 1967 Ole-Johan Dahl and Kristen Nygaard   Norway Algol 60 with classes UNIVAC 1107
Triplex-ALGOL Karlsruhe 1967/1968 Karlsruhe,   Germany ALGOL 60 (1963) with triplex numbers for interval arithmetic [22]
1972   China Chinese characters, expressed via the Symbol system
DG/L 1972   US DG Eclipse family of Computers
S-algol 1979 Ron Morrison   UK Addition of orthogonal datatypes with intended use as a teaching language PDP-11 with a subsequent implementation on the Java VM

The Burroughs dialects included special Bootstrapping dialects such as ESPOL and NEWP. The latter is still used for Unisys MCP system software.

Properties edit

ALGOL 60 as officially defined had no I/O facilities; implementations defined their own in ways that were rarely compatible with each other. In contrast, ALGOL 68 offered an extensive library of transput (input/output) facilities.

ALGOL 60 allowed for two evaluation strategies for parameter passing: the common call-by-value, and call-by-name. Call-by-name has certain effects in contrast to call-by-reference. For example, without specifying the parameters as value or reference, it is impossible to develop a procedure that will swap the values of two parameters if the actual parameters that are passed in are an integer variable and an array that is indexed by that same integer variable.[23] Think of passing a pointer to swap(i, A[i]) in to a function. Now that every time swap is referenced, it is reevaluated. Say i := 1 and A[i] := 2, so every time swap is referenced it will return the other combination of the values ([1,2], [2,1], [1,2] and so on). A similar situation occurs with a random function passed as actual argument.

Call-by-name is known by many compiler designers for the interesting "thunks" that are used to implement it. Donald Knuth devised the "man or boy test" to separate compilers that correctly implemented "recursion and non-local references." This test contains an example of call-by-name.

ALGOL 68 was defined using a two-level grammar formalism invented by Adriaan van Wijngaarden and which bears his name. Van Wijngaarden grammars use a context-free grammar to generate an infinite set of productions that will recognize a particular ALGOL 68 program; notably, they are able to express the kind of requirements that in many other programming language standards are labelled "semantics" and have to be expressed in ambiguity-prone natural language prose, and then implemented in compilers as ad hoc code attached to the formal language parser.

Examples and portability edit

Code sample comparisons edit

ALGOL 60 edit

(The way the bold text has to be written depends on the implementation, e.g. 'INTEGER'—quotation marks included—for integer. This is known as stropping.)

procedure Absmax(a) Size:(n, m) Result:(y) Subscripts:(i, k); value n, m; array a; integer n, m, i, k; real y; comment The absolute greatest element of the matrix a, of size n by m, is copied to y, and the subscripts of this element to i and k; begin integer p, q; y := 0; i := k := 1; for p := 1 step 1 until n do for q := 1 step 1 until m do if abs(a[p, q]) > y then begin y := abs(a[p, q]); i := p; k := q end end Absmax 

Here is an example of how to produce a table using Elliott 803 ALGOL.[24]

 FLOATING POINT ALGOL TEST' BEGIN REAL A,B,C,D' READ D' FOR A:= 0.0 STEP D UNTIL 6.3 DO BEGIN PRINT PUNCH(3),££L??' B := SIN(A)' C := COS(A)' PRINT PUNCH(3),SAMELINE,ALIGNED(1,6),A,B,C' END END' 

ALGOL 68 edit

The following code samples are ALGOL 68 versions of the above ALGOL 60 code samples.

ALGOL 68 implementations used ALGOL 60's approaches to stropping. In ALGOL 68's case tokens with the bold typeface are reserved words, types (modes) or operators.

proc abs max = ([,]real a, ref real y, ref int i, k)real: comment The absolute greatest element of the matrix a, of size ⌈a by 2⌈a is transferred to y, and the subscripts of this element to i and k; comment begin real y := 0; i := ⌊a; k := 2⌊a; for p from ⌊a to ⌈a do for q from 2⌊a to 2⌈a do if abs a[p, q] > y then y := abs a[p, q]; i := p; k := q fi od od; y end # abs max # 

Note: lower (⌊) and upper (⌈) bounds of an array, and array slicing, are directly available to the programmer.

floating point algol68 test: ( real a,b,c,d;   # printf – sends output to the file stand out. # # printf($p$); – selects a new page # printf(($pg$,"Enter d:")); read(d);   for step from 0 while a:=step*d; a <= 2*pi do printf($l$); # $l$ - selects a new line. # b := sin(a); c := cos(a); printf(($z-d.6d$,a,b,c)) # formats output with 1 digit before and 6 after the decimal point. # od ) 

Timeline: Hello world edit

The variations and lack of portability of the programs from one implementation to another is easily demonstrated by the classic hello world program.[citation needed]

ALGOL 58 (IAL) edit

ALGOL 58 had no I/O facilities.

ALGOL 60 family edit

Since ALGOL 60 had no I/O facilities, there is no portable hello world program in ALGOL. The next three examples are in Burroughs Extended Algol. The first two direct output at the interactive terminal they are run on. The first uses a character array, similar to C. The language allows the array identifier to be used as a pointer to the array, and hence in a REPLACE statement.

BEGIN FILE F(KIND=REMOTE); EBCDIC ARRAY E[0:11]; REPLACE E BY "HELLO WORLD!"; WRITE(F, *, E); END. 

A simpler program using an inline format:

BEGIN FILE F(KIND=REMOTE); WRITE(F, <"HELLO WORLD!">); END. 

An even simpler program using the Display statement. Note that its output would end up at the system console ('SPO'):

BEGIN DISPLAY("HELLO WORLD!") END. 

An alternative example, using Elliott Algol I/O is as follows. Elliott Algol used different characters for "open-string-quote" and "close-string-quote", represented here by    and   .

program HiFolks;  begin  print Hello world  end; 

Below is a version from Elliott 803 Algol (A104). The standard Elliott 803 used five-hole paper tape and thus only had upper case. The code lacked any quote characters so £ (UK Pound Sign) was used for open quote and ? (Question Mark) for close quote. Special sequences were placed in double quotes (e.g. ££L?? produced a new line on the teleprinter).

 HIFOLKS' BEGIN PRINT £HELLO WORLD£L??' END' 

The ICT 1900 series Algol I/O version allowed input from paper tape or punched card. Paper tape 'full' mode allowed lower case. Output was to a line printer. The open and close quote characters were represented using '(' and ')' and spaces by %.[25]

 'BEGIN' WRITE TEXT('('HELLO%WORLD')'); 'END' 

ALGOL 68 edit

ALGOL 68 code was published with reserved words typically in lowercase, but bolded or underlined.

begin printf(($gl$,"Hello, world!")) end 

In the language of the "Algol 68 Report" the input/output facilities were collectively called the "Transput".

Timeline of ALGOL special characters edit

The ALGOLs were conceived at a time when character sets were diverse and evolving rapidly; also, the ALGOLs were defined so that only uppercase letters were required.

1960: IFIP – The Algol 60 language and report included several mathematical symbols which are available on modern computers and operating systems, but, unfortunately, were unsupported on most computing systems at the time. For instance: ×, ÷, ≤, ≥, ≠, ¬, ∨, ∧, ⊂, ≡, ␣ and ⏨.

1961 September: ASCII – The ASCII character set, then in an early stage of development, had the \ (Back slash) character added to it in order to support ALGOL's boolean operators /\ and \/.[26]

1962: ALCOR – This character set included the unusual "᛭" runic cross[27] character for multiplication and the "⏨" Decimal Exponent Symbol[28] for floating point notation.[29][30][31]

1964: GOST – The 1964 Soviet standard GOST 10859 allowed the encoding of 4-bit, 5-bit, 6-bit and 7-bit characters in ALGOL.[32]

1968: The "Algol 68 Report" – used extant ALGOL characters, and further adopted →, ↓, ↑, □, ⌊, ⌈, ⎩, ⎧, ○, ⊥, and ¢ characters which can be found on the IBM 2741 keyboard with typeball (or golf ball) print heads inserted (such as the APL golf ball). These became available in the mid-1960s while ALGOL 68 was being drafted. The report was translated into Russian, German, French, and Bulgarian, and allowed programming in languages with larger character sets, e.g., Cyrillic alphabet of the Soviet BESM-4. All ALGOL's characters are also part of the Unicode standard and most of them are available in several popular fonts.

2009 October: Unicode – The (Decimal Exponent Symbol) for floating point notation was added to Unicode 5.2 for backward compatibility with historic Buran programme ALGOL software.[33]

See also edit

References edit

  1. ^ The name of this language family is sometimes given in mixed case (Algol 60 25 June 2007 at the Wayback Machine), and sometimes in all uppercase (ALGOL68 13 September 2014 at the Wayback Machine). For simplicity this article uses ALGOL.
  2. ^ Collected Algorithms of the ACM Archived 17 October 2011 at Wikiwix Compressed archives of the algorithms. ACM.
  3. ^ O'Hearn, P. W.; Tennent, R. D. (September 1996). . Archived from the original on 14 November 2011.
  4. ^ "The ALGOL Programming Language" 6 October 2016 at the Wayback Machine, University of Michigan-Dearborn
  5. ^ Backus, John Warner; Bauer, Friedrich Ludwig; Green, Julien; Katz, Charles; McCarthy, John; Naur, Peter; Perlis, Alan Jay; Rutishauser, Heinz; Samelson, Klaus; Vauquois, Bernard; Wegstein, Joseph Henry; van Wijngaarden, Adriaan; Woodger, Michael (May 1960). Naur, Peter (ed.). "Report on the Algorithmic Language ALGOL 60". Communications of the ACM. 3 (5). Copenhagen, Denmark: 299–314. doi:10.1145/367236.367262. ISSN 0001-0782. S2CID 278290.
  6. ^ "Revised Report on the Algorithmic Language Algol 60". 1963. from the original on 25 June 2007. Retrieved 8 June 2007.
  7. ^ "An ALGOL 60 Translator for the X1" (PDF). 1961. Archived (PDF) from the original on 9 October 2022. Retrieved 7 January 2021.
  8. ^ "Revised Report on the Algorithmic Language ALGOL 68" (PDF). 1973. (PDF) from the original on 13 September 2014. Retrieved 13 September 2014.
  9. ^ "History of ALGOL — Software Preservation Group". www.softwarepreservation.org. Retrieved 14 March 2024.
  10. ^ Knuth, Donald E. (1964). "Backus Normal Form vs Backus Naur Form". Communications of the ACM. 7 (12): 735–736. doi:10.1145/355588.365140. S2CID 47537431.
  11. ^ ACM Award Citation: Peter Naur Archived 2 April 2012 at Archive-It, 2005
  12. ^ "Hints on Programming Language Design" 15 September 2009 at the Wayback Machine, C.A.R. Hoare, December 1973. Page 27. (This statement is sometimes erroneously attributed to Edsger W. Dijkstra, also involved in implementing the first ALGOL 60 compiler.)
  13. ^ Dybvig, R. K.; et al. Rees, Jonathan; Clinger, William; Abelson, Hal (eds.). "Revised(3) Report on the Algorithmic Language Scheme, (Dedicated to the Memory of ALGOL 60)". from the original on 14 January 2010. Retrieved 20 October 2009.
  14. ^ . Archived from the original on 27 September 2011. Retrieved 20 January 2012.
  15. ^ Computer Museum History 20 August 2010 at the Wayback Machine, Historical Zuse-Computer Z23, restored by the Konrad Zuse Schule in Hünfeld, for the Computer Museum History Center in Mountain View (California) US
  16. ^ Daylight, E. G. (2011). "Dijkstra's Rallying Cry for Generalization: the Advent of the Recursive Procedure, late 1950s – early 1960s". The Computer Journal. 54 (11): 1756–1772. CiteSeerX 10.1.1.366.3916. doi:10.1093/comjnl/bxr002. from the original on 12 March 2013.
  17. ^ Kruseman Aretz, F.E.J. (30 June 2003). "The Dijkstra-Zonneveld ALGOL 60 Compiler for the Electrologica X1". Software Engineering (PDF). History of Computer Science. Amsterdam: Centrum Wiskunde & Informatica. (PDF) from the original on 4 March 2016.
  18. ^ Hoare, Antony (1980). "The Emperor's Old Clothes". Communications of the ACM. 24 (2): 75–83. doi:10.1145/358549.358561.
  19. ^ Koffman, Eliot. (PDF). Archived from the original (PDF) on 12 October 2012. Retrieved 20 May 2012.
  20. ^ "GOGOL – PDP-1 Algol 60 (Computer Language)". Online Historical Encyclopaedia of Programming Languages. from the original on 2 February 2018. Retrieved 1 February 2018.
  21. ^ Mounier-Kuhn, Pierre (2014). "Algol in France: From Universal Project to Embedded Culture". IEEE Annals of the History of Computing. 36 (4): 6–25. doi:10.1109/MAHC.2014.50. ISSN 1058-6180. S2CID 16684090.
  22. ^ Wippermann, Hans-Wilm (1968) [1967-06-15, 1966]. "Definition von Schrankenzahlen in Triplex-ALGOL". Computing (in German). 3 (2). Karlsruhe, Germany: Springer: 99–109. doi:10.1007/BF02277452. ISSN 0010-485X. S2CID 36685400.
  23. ^ Aho, Alfred V.; Sethi, Ravi; Ullman, Jeffrey D. (1986). Compilers: Principles, Techniques, and Tools (1st ed.). Addison-Wesley. ISBN 0-201-10194-7., Section 7.5, and references therein
  24. ^ "803 ALGOL" 29 May 2010 at the Wayback Machine, the manual for Elliott 803 ALGOL
  25. ^ "ICL 1900 series: Algol Language". ICL Technical Publication 3340. 1965.
  26. ^ How ASCII Got Its Backslash 11 July 2014 at the Wayback Machine, Bob Bemer
  27. ^ iron/runic cross
  28. ^ Decimal Exponent Symbol
  29. ^ Baumann, R. (October 1961). "ALGOL Manual of the ALCOR Group, Part 1" [ALGOL Manual of the ALCOR Group]. Elektronische Rechenanlagen (in German): 206–212.
  30. ^ Baumann, R. (December 1961). "ALGOL Manual of the ALCOR Group, Part 2" [ALGOL Manual of the ALCOR Group]. Elektronische Rechenanlagen (in German). 6: 259–265.
  31. ^ Baumann, R. (April 1962). "ALGOL Manual of the ALCOR Group, Part 3" [ALGOL Manual of the ALCOR Group]. Elektronische Rechenanlagen (in German). 2.
  32. ^ . Archived from the original on 16 June 2007. Retrieved 5 June 2007.
  33. ^ Broukhis, Leonid (22 January 2008). "Revised proposal to encode the decimal exponent symbol" (PDF). www.unicode.org. ISO/IEC JTC 1/SC 2/WG 2. (PDF) from the original on 31 July 2015. Retrieved 24 January 2016. This means that the need to transcode GOST-based software and documentation can still arise: legacy numerical algorithms (some of which may be of interest, e.g. for the automatic landing of the Buran shuttle ...) optimized for the non-IEEE floating point representation of BESM-6 cannot be simply recompiled and be expected to work reliably, and some human intervention may be necessary.

Further reading edit

  • O'Hearn, Peter; Tennent, Robert D., eds. (1997). Algol-like Languages. Vol. 1. Cambridge, MA: Birkhauser. doi:10.1007/978-1-4612-4118-8. ISBN 9780817638801. S2CID 6273486. The first volume of a two volume set, that includes an introduction from Peter W. O’Hearn and Robert D. Tennent, a report on Algol 60 from Peter Naur and colleagues, four chapters from John C. Reynolds, and other chapters from Christopher Strachey, Matthias Felleisen, Stephen Weeks, Albert R. Meyer, Kurt Sieber, Vipin Swarup, Uday S. Reddy, and Evan Ireland.
  • Baumann, Richard [in German]; Feliciano, Manuel; Bauer, Friedrich Ludwig; Samelson, Klaus (1964). Introduction to ALGOL–A Primer for the Non-Specialist, Emphasizing the Practical Uses of the Algorithmic Language. Automatic Computation. Englewood Cliffs, NJ: Prentice-Hall, Inc. ISBN 0134778286. LCCN 64-10740. ark:/13960/t6qz35p37. Retrieved 23 October 2022.
  • Randell, Brian & L. J. Russell (1964). ALGOL 60 Implementation: The Translation and Use of ALGOL 60 Programs on a Computer. Academic Press. CiteSeerX 10.1.1.737.475.. On the design of the Whetstone Compiler, and one of the early published descriptions of implementing a compiler. For a related paper, see Brian Randell's Whetstone Algol Revisited, and .
  • Dijkstra, E. W (1961), ALGOL 60 Translation: An ALGOL 60 Translator for the X1 and Making a Translator for ALGOL 60 (PDF), report MR 35/61, Amsterdam: Mathematisch Centrum, archived (PDF) from the original on 9 October 2022
  • Kruseman Aretz, Frans E.J., The Dijkstra–Zonneveld ALGOL 60 Compiler for the Electrologica X1 (PDF), Historical note SEN, 2, Amsterdam: Centrum voor Wiskunde en Informatica, archived (PDF) from the original on 9 October 2022
  • Goos, Gerhard [in German] (7 August 2017). Geschichte der Deutschsprachigen Informatik - Programmiersprachen und Übersetzerbau [History of Informatics in German-Speaking Countries - Programming Languages and Compiler Design] (PDF) (in German). Karlsruhe, Germany: Fakultät für Informatik, Karlsruhe Institute of Technology. (PDF) from the original on 19 May 2022. Retrieved 14 November 2022.

External links edit

  • Revised Report on the Algorithmic Language Algol 60 by Peter Naur, et al.
  • The European Side of the Last Phase of the Development of ALGOL 60, by Peter Naur
  • A History of ALGOL from the Computer History Museum
  • A web-enabled ALGOL-F compiler allowing small experiments[permanent dead link]
  • An online ALGOL compiler

algol, this, article, about, programming, language, family, other, uses, algol, disambiguation, ɔː, short, algorithmic, language, family, imperative, computer, programming, languages, originally, developed, 1958, heavily, influenced, many, other, languages, st. This article is about the programming language family For other uses see Algol disambiguation ALGOL ˈ ae l ɡ ɒ l ɡ ɔː l short for Algorithmic Language 1 is a family of imperative computer programming languages originally developed in 1958 ALGOL heavily influenced many other languages and was the standard method for algorithm description used by the Association for Computing Machinery ACM in textbooks and academic sources for more than thirty years 2 ALGOLA 1965 manual for ALGOL 20ParadigmProcedural imperative structuredFamilyALGOLDesigned byBauer Bottenbruch Rutishauser Samelson Backus Katz Perlis Wegstein Naur Vauquois van Wijngaarden Woodger Green McCarthyFirst appeared1958 66 years ago 1958 Typing disciplineStatic strongScopeLexicalInfluencedMost subsequent imperative languages including so called ALGOL like languages e g PL I Simula Pascal C and Scheme In the sense that the syntax of most modern languages is Algol like 3 it was arguably more influential than three other high level programming languages among which it was roughly contemporary FORTRAN Lisp and COBOL 4 It was designed to avoid some of the perceived problems with FORTRAN and eventually gave rise to many other programming languages including PL I Simula BCPL B Pascal Ada and C ALGOL introduced code blocks and the begin end pairs for delimiting them It was also the first language implementing nested function definitions with lexical scope Moreover it was the first programming language which gave detailed attention to formal language definition and through the Algol 60 Report introduced Backus Naur form a principal formal grammar notation for language design There were three major specifications named after the years they were first published ALGOL 58 originally proposed to be called IAL for International Algebraic Language ALGOL 60 first implemented as X1 ALGOL 60 in 1961 Revised 1963 5 6 7 ALGOL 68 introduced new elements including flexible arrays slices parallelism operator identification Revised 1973 8 ALGOL 68 is substantially different from ALGOL 60 and was not well received according to whom so reference to Algol is generally understood to mean ALGOL 60 and its dialects citation needed Contents 1 History 1 1 ALGOL and programming language research 1 2 IAL implementations timeline 2 Properties 3 Examples and portability 3 1 Code sample comparisons 3 1 1 ALGOL 60 3 1 2 ALGOL 68 3 2 Timeline Hello world 3 2 1 ALGOL 58 IAL 3 2 2 ALGOL 60 family 3 2 3 ALGOL 68 3 3 Timeline of ALGOL special characters 4 See also 5 References 6 Further reading 7 External linksHistory editThis section needs additional citations for verification Please help improve this article by adding citations to reliable sources in this section Unsourced material may be challenged and removed January 2024 Learn how and when to remove this message ALGOL was developed jointly by a committee of European and American computer scientists in a meeting in 1958 at the Swiss Federal Institute of Technology in Zurich cf ALGOL 58 9 It specified three different syntaxes a reference syntax a publication syntax and an implementation syntax syntaxes that permitted it to use different keyword names and conventions for decimal points commas vs periods for different languages citation needed ALGOL was used mostly by research computer scientists in the United States and in Europe commercial applications were hindered by the absence of standard input output facilities in its description and the lack of interest in the language by large computer vendors other than Burroughs Corporation citation needed ALGOL 60 did however become the standard for the publication of algorithms and had a profound effect on future language development according to whom nbsp Family tree of the Algol Fortran and COBOL programming language dynasty John Backus developed the Backus normal form method of describing programming languages specifically for ALGOL 58 It was revised and expanded by Peter Naur for ALGOL 60 and at Donald Knuth s suggestion renamed Backus Naur form 10 Peter Naur As editor of the ALGOL Bulletin I was drawn into the international discussions of the language and was selected to be member of the European language design group in November 1959 In this capacity I was the editor of the ALGOL 60 report produced as the result of the ALGOL 60 meeting in Paris in January 1960 11 The following people attended the meeting in Paris from 1 to 16 January citation needed Friedrich Ludwig Bauer Peter Naur Heinz Rutishauser Klaus Samelson Bernard Vauquois Adriaan van Wijngaarden and Michael Woodger from Europe John Warner Backus Julien Green Charles Katz John McCarthy Alan Jay Perlis and Joseph Henry Wegstein from the US Alan Perlis gave a vivid description of the meeting The meetings were exhausting interminable and exhilarating One became aggravated when one s good ideas were discarded along with the bad ones of others Nevertheless diligence persisted during the entire period The chemistry of the 13 was excellent This quote needs a citation ALGOL 60 inspired many languages that followed it Tony Hoare remarked Here is a language so far ahead of its time that it was not only an improvement on its predecessors but also on nearly all its successors 12 The Scheme programming language a variant of Lisp that adopted the block structure and lexical scope of ALGOL also adopted the wording Revised Report on the Algorithmic Language Scheme for its standards documents in homage to ALGOL 13 ALGOL and programming language research edit This section is written like a personal reflection personal essay or argumentative essay that states a Wikipedia editor s personal feelings or presents an original argument about a topic Please help improve it by rewriting it in an encyclopedic style January 2024 Learn how and when to remove this message As Peter Landin noted citation needed ALGOL was the first language to combine seamlessly imperative effects with the call by name lambda calculus citation needed Perhaps the most elegant formulation of the language is due to John C Reynolds and it best exhibits its syntactic and semantic purity according to whom Reynolds s idealized ALGOL also made a convincing methodologic argument regarding the suitability of local effects in the context of call by name languages in contrast with the global effects used by call by value languages such as ML citation needed The conceptual integrity of the language made it one of the main objects of semantic research along with Programming Computable Functions PCF and ML citation needed IAL implementations timeline edit To date there have been at least 70 augmentations extensions derivations and sublanguages of Algol 60 14 Name Year Author Country Description Target CPU ZMMD implementation 1958 Friedrich L Bauer Heinz Rutishauser Klaus Samelson Hermann Bottenbruch nbsp Germany implementation of ALGOL 58 Z22 later Zuse s Z23 was delivered with an Algol 60 compiler 15 X1 ALGOL 60 1960 August 16 Edsger W Dijkstra and Jaap A Zonneveld nbsp Netherlands First implementation of ALGOL 60 17 Electrologica X1 Elliott ALGOL 1960s C A R Hoare nbsp UK Subject of the 1980 Turing Award Lecture 18 Elliott 803 Elliott 503 Elliott 4100 series JOVIAL 1960 Jules Schwartz nbsp US A DOD HOL prior to Ada Various see article Burroughs Algol Several variants 1961 Burroughs Corporation with participation by Hoare Dijkstra and others nbsp US Basis of the Burroughs and now Unisys MCP based computers Burroughs Large Systems and their midrange also Case ALGOL 1961 Case Institute of Technology 19 nbsp US Simula was originally contracted as a simulation extension of the Case ALGOL UNIVAC 1107 GOGOL 1961 William M McKeeman nbsp US For ODIN time sharing system 20 PDP 1 RegneCentralen ALGOL 1961 Peter Naur Jorn Jensen nbsp Denmark Implementation of full Algol 60 DASK at Regnecentralen Dartmouth ALGOL 30 1962 Thomas Eugene Kurtz et al nbsp US LGP 30 USS 90 Algol 1962 L Petrone nbsp Italy ALGOL 60 1962 Bernard Vauquois Louis Bolliet 21 nbsp France Institut d Informatique et Mathematiques Appliquees de Grenoble IMAG and Compagnie des Machines Bull Bull Gamma 60 Algol Translator 1962 G van der Mey and W L van der Poel nbsp Netherlands Staatsbedrijf der Posterijen Telegrafie en Telefonie ZEBRA Kidsgrove Algol 1963 F G Duncan nbsp UK English Electric Company KDF9 VALGOL 1963 Val Schorre nbsp US A test of the META II compiler compiler Whetstone 1964 Brian Randell and L J Russell nbsp UK Atomic Power Division of English Electric Company Precursor to Ferranti Pegasus National Physical Laboratories ACE and English Electric DEUCE implementations English Electric Company KDF9 NU ALGOL 1965 nbsp Norway UNIVAC ALGEK 1965 nbsp Soviet Union ALGEK based on ALGOL 60 and COBOL support for economical tasks Minsk 22 ALGOL W 1966 Niklaus Wirth nbsp US Proposed successor to ALGOL 60 IBM System 360 MALGOL 1966 publ A Viil M Kotli amp M Rakhendi nbsp Estonian SSR Minsk 22 ALGAMS 1967 GAMS group GAMS gruppa avtomatizacii programmirovaniya dlya mashin srednego klassa cooperation of Comecon Academies of Science Comecon Minsk 22 later ES EVM BESM ALGOL ZAM 1967 nbsp Poland Polish ZAM computer Simula 67 1967 Ole Johan Dahl and Kristen Nygaard nbsp Norway Algol 60 with classes UNIVAC 1107 Triplex ALGOL Karlsruhe 1967 1968 Karlsruhe nbsp Germany ALGOL 60 1963 with triplex numbers for interval arithmetic 22 Chinese Algol 1972 nbsp China Chinese characters expressed via the Symbol system DG L 1972 nbsp US DG Eclipse family of Computers S algol 1979 Ron Morrison nbsp UK Addition of orthogonal datatypes with intended use as a teaching language PDP 11 with a subsequent implementation on the Java VM The Burroughs dialects included special Bootstrapping dialects such as ESPOL and NEWP The latter is still used for Unisys MCP system software Properties editThis section needs additional citations for verification Please help improve this article by adding citations to reliable sources in this section Unsourced material may be challenged and removed February 2024 Learn how and when to remove this message ALGOL 60 as officially defined had no I O facilities implementations defined their own in ways that were rarely compatible with each other In contrast ALGOL 68 offered an extensive library of transput input output facilities ALGOL 60 allowed for two evaluation strategies for parameter passing the common call by value and call by name Call by name has certain effects in contrast to call by reference For example without specifying the parameters as value or reference it is impossible to develop a procedure that will swap the values of two parameters if the actual parameters that are passed in are an integer variable and an array that is indexed by that same integer variable 23 Think of passing a pointer to swap i A i in to a function Now that every time swap is referenced it is reevaluated Say i 1 and A i 2 so every time swap is referenced it will return the other combination of the values 1 2 2 1 1 2 and so on A similar situation occurs with a random function passed as actual argument Call by name is known by many compiler designers for the interesting thunks that are used to implement it Donald Knuth devised the man or boy test to separate compilers that correctly implemented recursion and non local references This test contains an example of call by name ALGOL 68 was defined using a two level grammar formalism invented by Adriaan van Wijngaarden and which bears his name Van Wijngaarden grammars use a context free grammar to generate an infinite set of productions that will recognize a particular ALGOL 68 program notably they are able to express the kind of requirements that in many other programming language standards are labelled semantics and have to be expressed in ambiguity prone natural language prose and then implemented in compilers as ad hoc code attached to the formal language parser Examples and portability editThis section needs expansion with further annotation indicating sources of code samples as Wikipedia disallows presentation of individual editor creations or other original research You can help by adding to it February 2024 Code sample comparisons edit ALGOL 60 edit The way the bold text has to be written depends on the implementation e g INTEGER quotation marks included for integer This is known as stropping procedure Absmax a Size n m Result y Subscripts i k value n m array a integer n m i k real y comment The absolute greatest element of the matrix a of size n by m is copied to y and the subscripts of this element to i and k begin integer p q y 0 i k 1 for p 1 step 1 until n do for q 1 step 1 until m do if abs a p q gt y then begin y abs a p q i p k q end end Absmax Here is an example of how to produce a table using Elliott 803 ALGOL 24 FLOATING POINT ALGOL TEST BEGIN REAL A B C D READ D FOR A 0 0 STEP D UNTIL 6 3 DO BEGIN PRINT PUNCH 3 L B SIN A C COS A PRINT PUNCH 3 SAMELINE ALIGNED 1 6 A B C END END ALGOL 68 edit The following code samples are ALGOL 68 versions of the above ALGOL 60 code samples ALGOL 68 implementations used ALGOL 60 s approaches to stropping In ALGOL 68 s case tokens with the bold typeface are reserved words types modes or operators proc abs max real a ref real y ref int i k real comment The absolute greatest element of the matrix a of size a by 2 a is transferred to y and the subscripts of this element to i and k comment begin real y 0 i a k 2 a for p from a to a do for q from 2 a to 2 a do if abs a p q gt y then y abs a p q i p k q fi od od y end abs max Note lower and upper bounds of an array and array slicing are directly available to the programmer floating point algol68 test real a b c d printf sends output to the file stand out printf p selects a new page printf pg Enter d read d for step from 0 while a step d a lt 2 pi do printf l l selects a new line b sin a c cos a printf z d 6d a b c formats output with 1 digit before and 6 after the decimal point od Timeline Hello world edit The variations and lack of portability of the programs from one implementation to another is easily demonstrated by the classic hello world program citation needed ALGOL 58 IAL edit Main article ALGOL 58 ALGOL 58 had no I O facilities ALGOL 60 family edit Main article ALGOL 60 Since ALGOL 60 had no I O facilities there is no portable hello world program in ALGOL The next three examples are in Burroughs Extended Algol The first two direct output at the interactive terminal they are run on The first uses a character array similar to C The language allows the array identifier to be used as a pointer to the array and hence in a REPLACE statement BEGIN FILE F KIND REMOTE EBCDIC ARRAY E 0 11 REPLACE E BY HELLO WORLD WRITE F E END A simpler program using an inline format BEGIN FILE F KIND REMOTE WRITE F lt HELLO WORLD gt END An even simpler program using the Display statement Note that its output would end up at the system console SPO BEGIN DISPLAY HELLO WORLD END An alternative example using Elliott Algol I O is as follows Elliott Algol used different characters for open string quote and close string quote represented here by and program HiFolks begin print Hello world end Below is a version from Elliott 803 Algol A104 The standard Elliott 803 used five hole paper tape and thus only had upper case The code lacked any quote characters so UK Pound Sign was used for open quote and Question Mark for close quote Special sequences were placed in double quotes e g L produced a new line on the teleprinter HIFOLKS BEGIN PRINT HELLO WORLD L END The ICT 1900 series Algol I O version allowed input from paper tape or punched card Paper tape full mode allowed lower case Output was to a line printer The open and close quote characters were represented using and and spaces by 25 BEGIN WRITE TEXT HELLO WORLD END ALGOL 68 edit Main article ALGOL 68 ALGOL 68 code was published with reserved words typically in lowercase but bolded or underlined begin printf gl Hello world end In the language of the Algol 68 Report the input output facilities were collectively called the Transput Timeline of ALGOL special characters edit This article contains Unicode 6 0 Miscellaneous Technical characters Without proper rendering support you may see question marks boxes or other symbols instead of something like Decimal Exponent Symbol U 23E8 TTF The ALGOLs were conceived at a time when character sets were diverse and evolving rapidly also the ALGOLs were defined so that only uppercase letters were required 1960 IFIP The Algol 60 language and report included several mathematical symbols which are available on modern computers and operating systems but unfortunately were unsupported on most computing systems at the time For instance and 1961 September ASCII The ASCII character set then in an early stage of development had the Back slash character added to it in order to support ALGOL s boolean operators and 26 1962 ALCOR This character set included the unusual runic cross 27 character for multiplication and the Decimal Exponent Symbol 28 for floating point notation 29 30 31 1964 GOST The 1964 Soviet standard GOST 10859 allowed the encoding of 4 bit 5 bit 6 bit and 7 bit characters in ALGOL 32 1968 The Algol 68 Report used extant ALGOL characters and further adopted and characters which can be found on the IBM 2741 keyboard with typeball or golf ball print heads inserted such as the APL golf ball These became available in the mid 1960s while ALGOL 68 was being drafted The report was translated into Russian German French and Bulgarian and allowed programming in languages with larger character sets e g Cyrillic alphabet of the Soviet BESM 4 All ALGOL s characters are also part of the Unicode standard and most of them are available in several popular fonts 2009 October Unicode The Decimal Exponent Symbol for floating point notation was added to Unicode 5 2 for backward compatibility with historic Buran programme ALGOL software 33 See also editAddress programming language Atlas Autocode Coral 66 Edinburgh IMP Jensen s Device ISWIM JOVIAL Tron video game NELIAC Simula S algol Scheme programming language References edit The name of this language family is sometimes given in mixed case Algol 60 Archived 25 June 2007 at the Wayback Machine and sometimes in all uppercase ALGOL68 Archived 13 September 2014 at the Wayback Machine For simplicity this article uses ALGOL Collected Algorithms of the ACM Archived 17 October 2011 at Wikiwix Compressed archives of the algorithms ACM O Hearn P W Tennent R D September 1996 Algol like languages Introduction Archived from the original on 14 November 2011 The ALGOL Programming Language Archived 6 October 2016 at the Wayback Machine University of Michigan Dearborn Backus John Warner Bauer Friedrich Ludwig Green Julien Katz Charles McCarthy John Naur Peter Perlis Alan Jay Rutishauser Heinz Samelson Klaus Vauquois Bernard Wegstein Joseph Henry van Wijngaarden Adriaan Woodger Michael May 1960 Naur Peter ed Report on the Algorithmic Language ALGOL 60 Communications of the ACM 3 5 Copenhagen Denmark 299 314 doi 10 1145 367236 367262 ISSN 0001 0782 S2CID 278290 Revised Report on the Algorithmic Language Algol 60 1963 Archived from the original on 25 June 2007 Retrieved 8 June 2007 An ALGOL 60 Translator for the X1 PDF 1961 Archived PDF from the original on 9 October 2022 Retrieved 7 January 2021 Revised Report on the Algorithmic Language ALGOL 68 PDF 1973 Archived PDF from the original on 13 September 2014 Retrieved 13 September 2014 History of ALGOL Software Preservation Group www softwarepreservation org Retrieved 14 March 2024 Knuth Donald E 1964 Backus Normal Form vs Backus Naur Form Communications of the ACM 7 12 735 736 doi 10 1145 355588 365140 S2CID 47537431 ACM Award Citation Peter Naur Archived 2 April 2012 at Archive It 2005 Hints on Programming Language Design Archived 15 September 2009 at the Wayback Machine C A R Hoare December 1973 Page 27 This statement is sometimes erroneously attributed to Edsger W Dijkstra also involved in implementing the first ALGOL 60 compiler Dybvig R K et al Rees Jonathan Clinger William Abelson Hal eds Revised 3 Report on the Algorithmic Language Scheme Dedicated to the Memory of ALGOL 60 Archived from the original on 14 January 2010 Retrieved 20 October 2009 The Encyclopedia of Computer Languages Archived from the original on 27 September 2011 Retrieved 20 January 2012 Computer Museum History Archived 20 August 2010 at the Wayback Machine Historical Zuse Computer Z23 restored by the Konrad Zuse Schule in Hunfeld for the Computer Museum History Center in Mountain View California US Daylight E G 2011 Dijkstra s Rallying Cry for Generalization the Advent of the Recursive Procedure late 1950s early 1960s The Computer Journal 54 11 1756 1772 CiteSeerX 10 1 1 366 3916 doi 10 1093 comjnl bxr002 Archived from the original on 12 March 2013 Kruseman Aretz F E J 30 June 2003 The Dijkstra Zonneveld ALGOL 60 Compiler for the Electrologica X1 Software Engineering PDF History of Computer Science Amsterdam Centrum Wiskunde amp Informatica Archived PDF from the original on 4 March 2016 Hoare Antony 1980 The Emperor s Old Clothes Communications of the ACM 24 2 75 83 doi 10 1145 358549 358561 Koffman Eliot All I Really Need to Know I Learned in CS1 PDF Archived from the original PDF on 12 October 2012 Retrieved 20 May 2012 GOGOL PDP 1 Algol 60 Computer Language Online Historical Encyclopaedia of Programming Languages Archived from the original on 2 February 2018 Retrieved 1 February 2018 Mounier Kuhn Pierre 2014 Algol in France From Universal Project to Embedded Culture IEEE Annals of the History of Computing 36 4 6 25 doi 10 1109 MAHC 2014 50 ISSN 1058 6180 S2CID 16684090 Wippermann Hans Wilm 1968 1967 06 15 1966 Definition von Schrankenzahlen in Triplex ALGOL Computing in German 3 2 Karlsruhe Germany Springer 99 109 doi 10 1007 BF02277452 ISSN 0010 485X S2CID 36685400 Aho Alfred V Sethi Ravi Ullman Jeffrey D 1986 Compilers Principles Techniques and Tools 1st ed Addison Wesley ISBN 0 201 10194 7 Section 7 5 and references therein 803 ALGOL Archived 29 May 2010 at the Wayback Machine the manual for Elliott 803 ALGOL ICL 1900 series Algol Language ICL Technical Publication 3340 1965 How ASCII Got Its Backslash Archived 11 July 2014 at the Wayback Machine Bob Bemer iron runic cross Decimal Exponent Symbol Baumann R October 1961 ALGOL Manual of the ALCOR Group Part 1 ALGOL Manual of the ALCOR Group Elektronische Rechenanlagen in German 206 212 Baumann R December 1961 ALGOL Manual of the ALCOR Group Part 2 ALGOL Manual of the ALCOR Group Elektronische Rechenanlagen in German 6 259 265 Baumann R April 1962 ALGOL Manual of the ALCOR Group Part 3 ALGOL Manual of the ALCOR Group Elektronische Rechenanlagen in German 2 GOST 10859 standard Archived from the original on 16 June 2007 Retrieved 5 June 2007 Broukhis Leonid 22 January 2008 Revised proposal to encode the decimal exponent symbol PDF www unicode org ISO IEC JTC 1 SC 2 WG 2 Archived PDF from the original on 31 July 2015 Retrieved 24 January 2016 This means that the need to transcode GOST based software and documentation can still arise legacy numerical algorithms some of which may be of interest e g for the automatic landing of the Buran shuttle optimized for the non IEEE floating point representation of BESM 6 cannot be simply recompiled and be expected to work reliably and some human intervention may be necessary Further reading editO Hearn Peter Tennent Robert D eds 1997 Algol like Languages Vol 1 Cambridge MA Birkhauser doi 10 1007 978 1 4612 4118 8 ISBN 9780817638801 S2CID 6273486 The first volume of a two volume set that includes an introduction from Peter W O Hearn and Robert D Tennent a report on Algol 60 from Peter Naur and colleagues four chapters from John C Reynolds and other chapters from Christopher Strachey Matthias Felleisen Stephen Weeks Albert R Meyer Kurt Sieber Vipin Swarup Uday S Reddy and Evan Ireland Baumann Richard in German Feliciano Manuel Bauer Friedrich Ludwig Samelson Klaus 1964 Introduction to ALGOL A Primer for the Non Specialist Emphasizing the Practical Uses of the Algorithmic Language Automatic Computation Englewood Cliffs NJ Prentice Hall Inc ISBN 0134778286 LCCN 64 10740 ark 13960 t6qz35p37 Retrieved 23 October 2022 Randell Brian amp L J Russell 1964 ALGOL 60 Implementation The Translation and Use of ALGOL 60 Programs on a Computer Academic Press CiteSeerX 10 1 1 737 475 On the design of the Whetstone Compiler and one of the early published descriptions of implementing a compiler For a related paper see Brian Randell s Whetstone Algol Revisited and The Whetstone KDF9 Algol Translator Dijkstra E W 1961 ALGOL 60 Translation An ALGOL 60 Translator for the X1 and Making a Translator for ALGOL 60 PDF report MR 35 61 Amsterdam Mathematisch Centrum archived PDF from the original on 9 October 2022 Kruseman Aretz Frans E J The Dijkstra Zonneveld ALGOL 60 Compiler for the Electrologica X1 PDF Historical note SEN 2 Amsterdam Centrum voor Wiskunde en Informatica archived PDF from the original on 9 October 2022 Goos Gerhard in German 7 August 2017 Geschichte der Deutschsprachigen Informatik Programmiersprachen und Ubersetzerbau History of Informatics in German Speaking Countries Programming Languages and Compiler Design PDF in German Karlsruhe Germany Fakultat fur Informatik Karlsruhe Institute of Technology Archived PDF from the original on 19 May 2022 Retrieved 14 November 2022 External links editRevised Report on the Algorithmic Language Algol 60 by Peter Naur et al The European Side of the Last Phase of the Development of ALGOL 60 by Peter Naur A History of ALGOL from the Computer History Museum A web enabled ALGOL F compiler allowing small experiments permanent dead link An online ALGOL compiler Retrieved from https en wikipedia org w index php title ALGOL amp oldid 1220366425, wikipedia, wiki, book, books, library,

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