A well-formed formula is said to be true for the interpretation
(written
) iff every sequence in
(the set of all denumerable sequences of elements of the domain of
), satisfies
.
is said to be false for
iff no sequence in
satisfies
.
Then an interpretation is said to be a model for a set
of well-formed formulas iff every well-formed formula in
is true for
(Mendelson 1997, pp. 59-60).