Examples
Consider the following expressions from first order logic over a signature containing a constant symbol 0 for the number 0, a unary function symbol s for the successor function and a binary function symbol + for addition.
- s(0), s(s(0)), s(s(s(0))) ... are ground terms;
- 0+1, 0+1+1, ... are ground terms.
- x+s(1) and s(x) are terms, but not ground terms;
- s(0)=1 and 0+0=0 are ground formulae;
- s(1) and ∀x: (s(x)+1=s(s(x))) are ground expressions.
Read more about this topic: Ground Expression
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