F

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FALSE by Wouter van Oortmerssen

A subset of FORTH, named after the author's favourite Boolean value.  It was designed as a tiny language for which a tiny compiler could be written, but an even smaller compiler has since been written for Brainf***.  FALSE is not quite Turing complete.

Fromage by Prfnoff

A tiny language resembling Brainf*** but in which each memory cell contains a single bit.  Input and output are memory mapped.

Funge

General term for the Befunge family of languages, especially Funge-98, which is generalised to one (Unefunge), two (Befunge), three (Trefunge) or more dimensions.