| Giuseppe De Giacomo and Maurizio Lenzerini. A uniform framework for concept definitions in description logics. Journal of Artificial Intelligence Research, 6:87-- 110, 1997. |
....to define a situation, may refer to other situations. This reflects the possibility to formulate nested standard predications in the Time Standards. It is feasible to define a formal semantics for non cycle free terminologies (see the seminal paper of Nebel [10] and to check subsumption ( 3] [7]) Cycles increase the complexity of reasoning (EXPTIMEcomplete vs. PSPACE complete in the case of ALC ) Nevertheless: cycles do not appear in DSM IV concept definitions of temporal patterns except for these abstract generic concepts. If satisfiability constraints with respect to the generic ....
De Giacomo, G., Lenzerini, M.: A Uniform Framework for Concept Definitions in Description Logics. Journal of Artificial Intelligence Research 6 (1997) 87-110.
....consecutive event indexes are increasing by one. Apart from the fact that this can be seen as an inelegant solution, such an approach does not work in general, and it does not allow us to define constraints between streams. Description Logics have been extended to support transitive roles (e.g. [8] or [11] which allows to describe streams. Reasoning with these logics has high computational complexity (at least PSPACE completeness) and it does not allow to deal with integers or orderings. Temporal description logics like T L Gamma ALCF [1] allow to describe relationships such as ....
De Giacomo, G., Lenzerini, M.: "A Uniform Framework for Concept Definitions in Description Logics", Journal of Artificial Intelligence Research (JAIR) 6:87-110 (1997).
....consecutive event indexes are increasing by one. Apart from the fact that this can be seen as an inelegant solution, such an approach does not work in general, and it does not allow us to define constraints between streams. Description Logics have been extended to support transitive roles (e.g. [9] or [12] which allows to describe streams. Reasoning with these logics has high computational complexity (at least PSPACE completeness) and it does not allow to deal with integers or orderings. Temporal description logics like 8 [1] allow to describe relationships such as orderings ....
De Giacomo, G., Lenzerini, M.: "A Uniform Framework for Concept Definitions in Description Logics". Journal of Artificial Intelligence Research (JAIR) 6:87--110 (1997).
....We define a small set of primitive transformation operations on schemas expressed in the HDM. Higher level modelling languages are handled by defining their constructs 2 P.J. M c . Brien and A. Poulovassilis and transformations in terms of those of the HDM. In common with description logics [5, 6] we can form a union of different modelling languages to model a certain UoD. However, our approach has the advantage that it clearly separates the modelling of data structure from the modelling of constraints on the data. We note also that our HDM differs from graph based conceptual modelling ....
G. DeGiacomo and M. Lenzerini. A uniform framework for concept definitions in description logics. Journal of Artificial Intelligence Research, 6, 1997.
....that 2 We use the term Propositional Dynamic Logics in a slightly more general sense then usual, so as to include the basic multimodal logic K i , and modal mu calculus. 3 CF [53] CI [41, 53] ALC [40, 19, 54] C [53] ALC [39, 35, 55] CIF [18] CIQ ABox [23] CIF ABox [23] CIQ [22] ALCQ [24] ALCF [24] ALCIF [59, 15] ALCIQ [15] DLR [15] DLR ABox [14] CIO [17] CFO [17] DLR [14] CVL [13] CAT S [21] Figure 1: Description Logics derived from the correspondence 4 even if no role constructs are present, ALC is actually an extension of C, since all concepts denotable in C are ....
....2 We use the term Propositional Dynamic Logics in a slightly more general sense then usual, so as to include the basic multimodal logic K i , and modal mu calculus. 3 CF [53] CI [41, 53] ALC [40, 19, 54] C [53] ALC [39, 35, 55] CIF [18] CIQ ABox [23] CIF ABox [23] CIQ [22] ALCQ [24] ALCF [24] ALCIF [59, 15] ALCIQ [15] DLR [15] DLR ABox [14] CIO [17] CFO [17] DLR [14] CVL [13] CAT S [21] Figure 1: Description Logics derived from the correspondence 4 even if no role constructs are present, ALC is actually an extension of C, since all concepts denotable in C are also ....
G. De Giacomo and M. Lenzerini. A uniform framework for concept definitions in description logics. J. of Artificial Intelligence Research, 6:87--110, 1997.
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Giuseppe De Giacomo and Maurizio Lenzerini. A uniform framework for concept definitions in description logics. Journal of Artificial Intelligence Research, 6:87-- 110, 1997.
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