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In computer science, a Van Wijngaarden grammar (also vW-grammar or W-grammar [1]) is a formalism for defining formal languages. The name derives from the formalism invented by Adriaan van Wijngaarden [2] for the purpose of defining the ALGOL 68 programming language. The resulting specification [3] remains its most notable application.
Adriaan "Aad" van Wijngaarden (2 November 1916 – 7 February 1987) was a Dutch mathematician and computer scientist. Trained as a mechanical engineer, Van Wijngaarden emphasized and promoted the mathematical aspects of computing, first in numerical analysis , then in programming languages and finally in design principles of such languages.
ALGOL 68 was defined using a formalism, a two-level formal grammar, invented by Adriaan van Wijngaarden. 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 ...
Van Wijngaarden grammar (also vW-grammar or W-grammar) is a two-level grammar that provides a technique to define potentially infinite context-free grammars in a finite number of rules. The formalism was invented by Adriaan van Wijngaarden to rigorously define some syntactic restrictions that previously had to be formulated in natural language ...
Adriaan van Wijngaarden offered him a job as the first computer programmer in the Netherlands at the Mathematical Centre in Amsterdam, where he worked from 1952 until 1962. He formulated and solved the shortest path problem in 1956, and in 1960 developed the first compiler for the programming language ALGOL 60 in conjunction with colleague Jaap ...
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EAGs are a member of the family of two-level grammars; more specifically, a restriction of Van Wijngaarden grammars with the specific purpose of making parsing feasible. Like Van Wijngaarden grammars, EAGs have hyperrules that form a context-free grammar except in that their nonterminals may have arguments, known as affixes , the possible ...
The New York City-based doctor also wrote the book "Make America Healthy Again" in 2020, spearheading the MAHA movement. An Australian who today calls Los Angeles home, ...