Basic Challenges
Basically FMT is about the discrimination of structures, i.e. can a set of structures be uniquely described in a certain language. We will see that this can be achieved in FO for a single structures always, for a finite set of structures sometimes and for a set containing infinite structures never.
Read more about this topic: Finite Model Theory
Famous quotes containing the words basic and/or challenges:
“What, then, is the basic difference between today’s computer and an intelligent being? It is that the computer can be made to see but not to perceive. What matters here is not that the computer is without consciousness but that thus far it is incapable of the spontaneous grasp of pattern—a capacity essential to perception and intelligence.”
—Rudolf Arnheim (b. 1904)
“A powerful idea communicates some of its strength to him who challenges it.”
—Marcel Proust (1871–1922)