Here \ mathbb { N }-predicate symbol that means " is a natural number ".
2.
It is also possible to restrict the arities of function symbols and predicate symbols, in sufficiently expressive theories.
3.
In fact, only single rules over extensional predicate symbols can be easily rewritten as an equivalent conjunctive query.
4.
The rules specify how the operators, function and predicate symbols, and quantifiers are to be concatenated with other strings.
5.
It is also sufficient to have two predicate symbols of arity 2 that define projection functions from an ordered pair to its components.
6.
As in the disjunctive normal form ( DNF ), the only propositional connectives a formula in CNF can contain are predicate symbol.
7.
These include propositional logic and monadic predicate logic, which is first-order logic restricted to unary predicate symbols and no function symbols.
8.
For example a language in the first-order predicate calculus might include one of more predicate symbols and one or more individual constants and one or more variables.
9.
The interpretation of an " n "-ary predicate symbol is a set of " n "-tuples of elements of the domain of discourse.
10.
First-order models indeed includes the evaluation of each predicate symbol; such an evaluation tells whether the predicate is true or false for any possible value of its arguments.