Definition:Language of Predicate Logic/Formal Grammar/Term

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This page is about Term in the context of Predicate Logic. For other uses, see Term.

Definition

Part of specifying the language of predicate logic $\LL_1$ is the introduction of terms.


The terms of $\LL_1$ are identified by the following bottom-up grammar:

\((\mathbf T \ \textrm {VAR})\)   $:$   Any variable of $\LL_1$ is a term;             
\((\mathbf T \ \FF_n)\)   $:$   Given an $n$-ary function symbol $f \in \FF_n$ and terms $\tau_1, \ldots, \tau_n$:
$\map f {\tau_1, \ldots, \tau_n}$

is also a term.   

         

Colloquially, we can think of a term as an expression signifying an object.


Sources