Model
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).
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