When a new programming language appears, the syntax and intended behaviour of its programs need to be specified. The behaviour of each language construct can be concisely specified by translating it to fundamental constructs (funcons), compositionally. In contrast to the informal explanations commonly found in reference manuals, such formal specifications of translations to funcons can be precise and complete. They are also easy to write and read, and to update when the language evolves. The PLanCompS project has developed a large collection of funcons. Each funcon is defined independently, using a modular variant of structural operational semantics. The definitions are available online, along with tools for generating funcon interpreters from them. This paper introduces and motivates funcons. It illustrates translation of language constructs to funcons, and funcon definition. It also relates funcons to the notation used in some previous language specification frameworks, including monadic semantics and action semantics.

26 pages, incl. 3 figures and 7 appendices, accepted for publication in Proceedings of ISoLA 2021; updates the submitted version with clarifications and minor enhancements