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11. Demonstrate that the adequate DB-denotational semantics is equivalent to the
adequate abstract SOS-denotational semantics, and explain why we can use the
DB-denotational semantics, based on DB category, as a canonical denotational
semantics for the database mapping programs.
12. Explain the final result: the equivalence of the initial algebra and final coalgebra
semantics of the commutative diagram
References
1. S. Abiteboul, R. Hull, V. Vianu, Foundations of Databases (Addison Wesley Publ. Co., Read-
ing, 1995)
2. P. Aczel, Non-well-Founded Sets . Lecture Notes CSLI, vol. 14 (1988)
3. P. Aczel, N. Mendler, A final coalgebra theorem, in Proc. Category Theory and Computer
Science . LNCS, vol. 389 (Springer, Berlin, 1989), pp. 357-365
4. P. Aczel, J. Adamek, S. Milius, J. Velebil, Infinite trees and completely iterative theories: a
coalgebraic view. Theor. Comput. Sci. 300 , 1-45 (2003)
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