The first compiler was written by Grace Hopper, in 1952, for the A-0 programming language. The FORTRAN team led by John Backus at IBM is usually credited as having introduced the first complete compiler in 1957.
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The first FORTRAN compiler, an optimizing compiler, was delivered in April, 1957.
It was invented by Niklaus Wirth in 1968 as a research project into the nascent field of compiler theory. Source: Wikibooks
The first compiler couldn't be compiled since there were obviously no compilers! It had to be assembled, using assembly language and an assembler. Once you have one compiler, you can easily write others. Today, most compilers are written using C++, including the C++ compiler itself (the original was written in C, of course).
Business and accounting.... it is one of the ancestors of COBOL.
The very first C-compiler was written in some other language.
cross compiler . hybird compiler . post compiler. ideal compiler. intelligence compiler.
No one knows and no one cares.
What is difference between Compiler and DML Compiler
1972