# Annals of Systems Research: Publikatie van de Systeemgroep by Henk Koppelaar (auth.), B. Van Rootselaar (eds.)

By Henk Koppelaar (auth.), B. Van Rootselaar (eds.)

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Extra info for Annals of Systems Research: Publikatie van de Systeemgroep Nederland Publication of the Netherlands Society for Systems Research

Example text

UYTTENHOVE both rtf" ~ rtf' ~ rtf and rtf'" ~ rtf' ~ rtf so that neither rtf" nor rtf' , , are immediate successors of rtf. Hence, if the p-modification is applicable (does not violate the axioms of structure candidates), then the s-modification does not generate immediate successors even when it is applicable. Suppose now that vj' Vk , V( E Ea and Ea is replaced by three elements based on the s-modification. Let E~ = Ea - {v j}, E~' = Ea - {v k } and E~" = Ea - {v(} be the elements replacing Ea.

L'm say C(! , C(! 0 = {V}. It is the least refined structure candidate which actually serves as an interface between the overall mask identification [3] and the structure identification [1, 2]. ( = { {Vi}' {v 2 }, .. ·, {v n } }. Given structure candidates C(! i and C(! j' if C(! i ~ C(! j and C(! i i= C(! j' then C(! i will be called a successor ofC(! j' Moreover, ifthere is no C(! k ~ C(! j' then C(! i will be called an immediate successor of C(! l' 4 are given in previous papers [1, 2]. l' 6 are given in Figures 2, 3 and Table 2.

J. J. UYTTENHOVE ded. Since the generative procedure always excludes element E~, successor C(j' = (C(j - {Ea} ) U {E~ '} is generated, where E~' = Ea - {vk }. It is a meaningful succesor since the p-modification is not applicable in this case. If element E~' were excluded instead of E~, the generated immediate successor would be C(j" = (C(j - {Ea} ) u (Ea - {v j} }. Although C(j" is not obtained in this way, it is obtained when variable vj is taken together with variable v( (in either order) in step (1) of the generative procedure: Ea is replaced by E~ = Ea - {v j}, E~' = Ea - {v(} or vice versa.