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Amalgamation, interpolation and epimorphisms in algebraic logic

✍ Scribed by Judit Madárasz; Tarek Sayed-Ahmed


Publisher
Springer
Year
2007
Tongue
English
Weight
689 KB
Volume
56
Category
Article
ISSN
0002-5240

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We extend Makkai's proof of strong amalgamation (push-outs of monos along arbitrary maps are monos) from the category of Heyting algebras to a class which includes the categories of symmetric bounded distributive lattices, symmetric Heyting algebras, Heyting modal S4-algebras, Heyting modal bi-S4-al

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This is a survey of results on interpolation in propositional normal modal logics. Interpolation properties of these logics are closely connected with amalgamation properties of varieties of modal algebras. Therefore, the results on interpolation are also reformulated in terms of amalgamation.