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Programming Language

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A programming language is a formal, human readable language for writing instructions a computer can be made to carry out, translated into the machine's own instructions either ahead of time, by a compiler, or as it runs, by an interpreter. Early programming was done directly in a machine's own numeric instructions or in assembly language, a readable but still machine specific stand-in for them; Fortran, released in 1957, is often considered the first high level language to see wide use, letting a programmer write ordinary arithmetic notation instead. Grace Hopper's compiler work at Remington Rand in the early 1950s led to FLOW-MATIC and then to COBOL, a language deliberately designed to read like English sentences so that people without a mathematics background could write and check business programs, an approach to language design distinct from Fortran's numerical focus.

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Programming Language (Wikipedia)
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A programming language is an engineered language for expressing computer programs, typically allowing software to be written in a human readable manner.
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Compiler (Wikipedia)
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A compiler is software that translates computer code written in one programming language (the source language) into another language (the target language).
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