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The resulting total map gives us the composition τ σ : P ↓ V → A⊥ C once we reinstate polarities. 1 The construction here gives the same result as that via synchronized composition in — I’m grateful to Nathan Bowler for this observation. Notice the analogy with the composition of relations S ⊆ A × B, T ⊆ B × C which can be defined as T ◦ S = (S × C ∩ A × T ) ↓ A × C, the image of S × C ∩ A × T under the projection of A × B × C to A × C. 2 G. t. composition are given by copy-cat strategies. Let A be an event structure with polarity.
Of IJCAI, pp. 963–968 (2011) 32. : On the satisﬁability of dependency constraints in entityrelationship schemata. Inf. Syst. 15(4), 453–461 (1990) 33. : The Complexity of Conjunctive Query Answering in Expressive Description Logics. , Dowek, G. ) IJCAR 2008. LNCS (LNAI), vol. 5195, pp. 179–193. Springer, Heidelberg (2008) 34. : Testing implications of data dependencies. ACM Trans. Database Syst. 4(4), 455–469 (1979) 35. : Eﬃcient Reasoning about Finite Satisﬁability of UML Class Diagrams with Constrained Generalization Sets.
Testing containment of conjunctive queries under functional and inclusion dependencies. J. Comput. Syst. Sci. 28(1), 167–189 (1984) 30. : On the complexities of consistency checking for restricted UML class diagrams. Theor. Comput. Sci. 411(2), 301–323 (2010) 31. : Extending decidable existential rules by joining acyclicity and guardedness. In: Proc. of IJCAI, pp. 963–968 (2011) 32. : On the satisﬁability of dependency constraints in entityrelationship schemata. Inf. Syst. 15(4), 453–461 (1990) 33.