This document discusses term rewriting and provides examples of how rewrite rules can be used to transform terms. Key points include:
- Rewrite rules define pattern matching and substitution to transform terms from a left-hand side to a right-hand side.
- Examples show desugaring language constructs like if-then statements, constant folding arithmetic expressions, and mapping/zipping lists with strategies as parameters to rules.
- Terms can represent programming language syntax and semantics domains. Signatures define the structure of terms.
- Rewriting systems provide a declarative way to define program transformations and semantic definitions through rewrite rules and strategies.