A class K of structures has the strong amalgamation property (SAP) if for every amalgam with A,B,C ∈ K there exist both a structure D ∈ K and embeddings f': B → D, g': C → D such that
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- where for any set X and function h on X,
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Famous quotes containing the words strong and/or property:
“It is funny that men who are supposed to be scientific cannot get themselves to realise the basic principle of physics, that action and reaction are equal and opposite, that when you persecute people you always rouse them to be strong and stronger.”
—Gertrude Stein (1874–1946)
“Let’s call something a rigid designator if in every possible world it designates the same object, a non-rigid or accidental designator if that is not the case. Of course we don’t require that the objects exist in all possible worlds.... When we think of a property as essential to an object we usually mean that it is true of that object in any case where it would have existed. A rigid designator of a necessary existent can be called strongly rigid.”
—Saul Kripke (b. 1940)