3 Mar 2004
CS 3243 - Chapter 8
8
Truth in first-order logic
nSentences are true with respect to a model and an interpretation
n
nModel contains objects (domain elements) and relations among them
n
nInterpretation specifies referents for
¡constant symbols → objects
¡predicate symbols → relations
¡function symbols → functional relations
¡
nAn atomic sentence predicate(term1,...,termn) is true
n iff the objects referred to by term1,...,termn
n are in the relation referred to by predicate