How did they implement allocate a new cons cell?

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Malloc is a C function and wouldn’t come around for another 15 years or so. They likely wrote memory allocation code directly in machine code/assembly which could and would just access raw memory directly.

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A community for the Lisp family of programming languages.

Lisp (historically LISP) is a family of programming languages with a long history and a distinctive, fully parenthesized prefix notation. Originally specified in 1958, Lisp is the second-oldest high-level programming language. Only Fortran is older, by one year.

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