By Henk Koppelaar (auth.), B. Van Rootselaar (eds.)
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Extra resources for Annals of Systems Research: Publikatie van de Systeemgroep Nederland Publication of the Netherlands Society for Systems Research
Sample text
If only vj (or vk) is related, then E~' (or E~, respectively) violates axiom (f3) and has to be excluded. Since Vk EE~ (or vj EE~', respectively), E~ (or E~', respectively) does not violate axiom (f3) and is not excluded by the generative procedure. Hence, rtJ' = (rtJ - {Ea} ) U {Ea - {v j} } (or rtJ" = (rtJ{Ea}) U {Ea - {Vk}}' respectively). The p-modification is not applicable and, therefore, rtJ' is a meaningful successor ofrtJ. All such successors are generated since steps (1)-(3) of the generative procedure are repeated for all variables vj' vk E Ea.
Although only sets BIN and d Nexpress explicitly rules for generating activity arrays, it was previously shown [3] that BN and AN contain such rules implicitly. / ON is a neutral source system, M is a sampling mask, and GN is an element from the set {AN' d N, BN, BIN}' Although the generative system does not explicitly contain any data, it contains a relation through which data can be generated. Hence, it consists of a source system, an invariant (generative) relation and, indirectly, a set of data systems, one for each set of initial conditions (initial sample) and time set T.
The algorithm generates thus a sequence of structure candidates, in the increasing order of refinement, which best conform to the given generative system.