Properties of The Stable Model Semantics
In this section, as in the definition of a stable model above, by a logic program we mean a set of rules of the form
where are ground atoms.
Head atoms: If an atom belongs to a stable model of a logic program then is the head of one of the rules of .
Minimality: Any stable model of a logic program is minimal among the models of relative to set inclusion.
The antichain property: If and are stable models of the same logic program then is not a proper subset of . In other words, the set of stable models of a program is an antichain.
NP-completeness: Testing whether a finite ground logic program has a stable model is NP-complete.
Read more about this topic: Stable Model Semantics
Famous quotes containing the words properties of the, properties of, properties, stable and/or model:
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)
“A horse, a buggy and several sets of harness, valued in all at about $250, were stolen last night from the stable of Howard Quinlan, near Kingsville. The county police are at work on the case, but so far no trace of either thieves or booty has been found.”
—H.L. (Henry Lewis)
“When you model yourself on people, you should try to resemble their good sides.”
—Molière [Jean Baptiste Poquelin] (1622–1673)