A commutative diagram of the amalgamation property.
In the mathematical field of model theory, the amalgamation property is a property of collections of structures that guarantees, under certain conditions, that two structures in the collection can be regarded as substructures of a larger one.
This property plays a crucial role in Fraïssé's theorem, which characterises classes of finite structures that arise as
ages of countable homogeneous structures.
The diagram of the amalgamation property appears in many areas of mathematical logic. Examples include in modal logic as an incestual accessibility relation,[clarification needed] and in lambda calculus as a manner of reduction having the Church–Rosser property.
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In the mathematical field of model theory, the amalgamationproperty is a property of collections of structures that guarantees, under certain conditions...
Look up amalgamate or amalgamation in Wiktionary, the free dictionary. Amalgamation is the process of combining or uniting multiple entities into one...
the joint embedding property because all three models can be embedded into L3. However, K does not have the amalgamationproperty. The counterexample...
classes, it is hereditary, it is joint-embedded, and it holds the amalgamationproperty.: p.3 5 is the value of the central cell of the first non-trivial...
conditions are equivalent: T* is a model completion of T T has the amalgamationproperty. If T also has universal axiomatization, both of the above are also...
model-complete theory, whose theory of universal consequences has the amalgamationproperty, has quantifier elimination. The models of the theory of the universal...
/3\mathbf {Z} ).} The more general construction of free product with amalgamation is correspondingly a special kind of pushout in the same category. Suppose...
model Existentially closed model Ultraproduct Age (model theory) Amalgamationproperty Hrushovski construction Potential isomorphism Theory (mathematical...
The amalgamation of Toronto was the creation of the city limits of Toronto, Ontario, Canada after amalgamating, annexing, and merging with surrounding...
The pair ( C , ≤ ) {\displaystyle (\mathbf {C} ,\leq )} has the amalgamationproperty if A ≤ B 1 , B 2 {\displaystyle A\leq B_{1},B_{2}} then there is...
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categoricity conjecture) for Abstract Elementary Classes with the amalgamationproperty, that are tame. In another work with VanDieren, they also initiated...
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acids, thus dissolving them. Its hydrogen bonding causes its many unique properties, such as having a solid form less dense than its liquid form, a relatively...
allowing Amalgamated to take over Heinze's properties as well as the properties of William A. Clark (another Butte copper magnate). Amalgamated gained almost...
grew "burgage plots" could be split into smaller additional units. (Amalgamation was not so common until the second half of the 19th century.) Burgage...
Properties Limited (SHKP) is a listed corporation and one of the largest property developers in Hong Kong. The company's businesses include property sales...
settling issues concerning customary law. Ghana’s current property statutory law system is an amalgamation of departments and policies aimed at identifying procedures...
Bank of Toronto and the Dominion Bank, and by the end of the year, an amalgamation agreement was reached. In their brief to the Minister of Finance, the...
part of the amalgamation, a provisional council was selected among previous members of the various municipal councils of the amalgamated municipalities;...
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