Termstrukturen
Termstrukturen, or term structures, are formal representations of symbolic expressions used in logic, computer science, and related fields. They are typically tree-shaped objects in which internal nodes are function symbols and leaves are constants or variables. The structure mirrors the syntactic form of the expression, with the arity of each function symbol determining how many subterms attach to it.
A standard way to describe term structures is via a signature: a set of function symbols each
Semantics attach meaning to terms through interpretations. An interpretation assigns to each constant a domain element
Term structures are central to many operations in logic and computer science. Term rewriting and equational