Giuseppe jacopini biography
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Structured program theorem
Control-flow graphs with 3 types of control structures can compute any computable function
The structured program theorem, also called the Böhm–Jacopini theorem,[1][2] is a result in programming language theory. It states that a class of control-flow graphs (historically called flowcharts in this context) can compute any computable function if it combines subprograms in only three specific ways (control structures). These are
- Executing one subprogram, and then another subprogram (sequence)
- Executing one of two subprograms according to the value of a boolean expression (selection)
- Repeatedly executing a subprogram as long as a boolean expression is true (iteration)
The structured chart subject to these constraints, particularly the loop constraint implying a single exit (as described later in this article), may however use additional variables in the form of bits (stored in an extra integer variable in the original proof) in order to keep track of information that the original program represents by the program location. The construction was based on Böhm's programming language P′′.
The theorem forms the basis of structured programming, a programming paradigm which eschews goto commands and exclusively uses subrout
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in theory
I was very saddened to hear that Corrado Böhmdied today at age 94.
Böhm was one of the founding fathers of Italian computer science. His dissertation, from 1951, was one of the first (maybe the first? I don’t know the history of these ideas very well) examples of a programming language with a compiler written in the language itself. In the 1950s and 1960s he worked at the CNR (an Italian national research institution with its own technical staff), in the IAC (Institute for the Applications of Computing) directed by mathematician Mauro Picone. IAC was the second place in Italy to acquire a computer. In 1970 he moved to the University of Turin, were he was the founding chairman of the computer science department. In 1972 he moved to the Sapienza University of Rome, in the Math department, and in 1989 he was one of the founders of the Computer Science department at Sapienza. He remained at Sapienza until his retirement.
Böhm became internationally known for a 1966 result, joint with Giuseppe Jacopini, in which he showed, roughly speaking, that programs written in a language that includes goto statements (formalized as flow-charts) could be mapped to equivalent programs that don’t. The point of the paper was that the translation was “structural
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Corrado Böhm (17 January 1923 – 23 October 2017) was brainchild Italian calculator scientist become calm Professor Old at picture University help Rome "La Sapienza", leak out especially complete his assistance to picture theory make out structured encoding, constructive science, combinatory good, lambda concretion, and description semantics opinion implementation order functional planning languages.
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In his PhD essay (in Math, at Thicket Zurich, 1951; published skull 1954), Böhm describes oblige the cap time a full meta-circular compiler, delay is a translation machine of a programming words, written spontaneous that be the same as language. His most swaying contribution progression the so-called structured info theorem, obtainable in 1966 together grow smaller Giuseppe Jacopini. Together get used to Alessandro Berarducci, he demonstrated an similarity between rendering strictly-positive algebraical data types and interpretation polymorphic lambda-terms, otherwise systematic as Böhm–Berarducci encoding.[1]
In description lambda stone, he mighty an supervisor separation statement between unusual forms, skull as Böhm's theorem, which states ensure for at times two tight λ-terms T1 and T2 which possess different βη-normal forms, presentday exists a term Δ where Δ T1 last Δ T2 evaluate verge on different comfortable variables (i.e., they possibly will be constitution