Programming language theory (commonly known as PLT) is a branch of computer science which deals with the design, implementation, analysis, characterization, and classification of programming languages and programming language features. It is a multi-disciplinary field, both depending on (and in some cases affecting) mathematics, software engineering, linguistics, and even the cognitive sciences. It is a well-recognized branch of computer science, and as of 2006, an active research area, with results published in numerous journals dedicated to PLT, as well as in general computer science and engineering publications. Most undergraduate computer science programs require coursework in the topic.
An unofficial symbol of the field of programming language theory is the lowercase Greek letter lambda. This usage derives from the lambda calculus, a computational model widely used by programming language researchers. Many texts and papers on programming and programming languages utilize the lambda in some fashion. It graces the cover of the classic text Structure and Interpretation of Computer Programs, and the title of many of the so-called Lambda Papers, written by Gerald Jay Sussman and Guy Steele, the developers of the Scheme programming language. A popular website on programming language theory is called Lambda the Ultimate, in honor of Sussman and Steele's work.
In some ways, the history of programming language theory predates even the development of programming languages themselves. The lambda calculus, developed by Alonzo Church and Stephen Cole Kleene in the 1930s, is considered by some to be the world's first programming language, even though it was intended to model computation rather than being a means for programmers to describe algorithms to a computer system. Many modern functional programming languages have been described as providing a "thin veneer" over the lambda calculus *, and many are easily described in terms of it.
The first programming language (as such) to be proposed was Plankalkül, which was designed by Konrad Zuse in the 1940s, but not publicly known until 1972 (and not implemented until 2000, five years after Zuse's death). The first widely-known and successful programming language was Fortran, developed from 1954 to 1957 by a team of IBM researchers led by John Backus. The success of FORTRAN led to the formation of a committee of scientists to develop a "universal" computer language; the result of their effort was ALGOL 58. Separately, John McCarthy of MIT developed the Lisp programming language (based on the lambda calculus), the first language with origins in academia to be successful. With the success of these initial efforts, programming languages became an active topic of research in the 1960s and beyond.
Some other key events in the history of programming language theory since then:
There are several fields of study which either lie within programming language theory; or which have a profound influence on it; many of these have considerable overlap.
In addition, PLT makes use of many other branches of mathematics, including computability theory, category theory, and set theory
Journals which publish original research in programming language theory include:
A more complete bibliography is available here; also see the list of publications in computer science.
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