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Published in:
2014 | OriginalPaper | Chapter
IMP: A Simple Imperative Language
Authors : Tobias Nipkow, Gerwin Klein
Published in: Concrete Semantics
Publisher: Springer International Publishing
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To talk about semantics, we first need a programming language. This chapter defines one: a minimalistic imperative programming language called IMP. The main aim of this chapter is to introduce the concepts of commands and their abstract syntax, and to use them to illustrate two styles of defining the semantics of a programming language: big-step and small-step operational semantics. Our first larger theorem about IMP will be the equivalence of these two definitions of its semantics. As a smaller concrete example, we will apply our semantics to the concept of program equivalence.