By P. Pandurang Nayak
This ebook is predicated at the author's PhD thesis which used to be chosen through the 1993 ACM Doctoral Dissertation pageant as one of many 3 most sensible submissions.
This monograph investigates the matter of choosing sufficient versions for reasoning approximately actual structures and functions to engineering challenge fixing. a sublime therapy of either the theoretical and useful aspects are awarded: the matter is strictly formalized, its computational complexity is analyzed intimately, and a good set of rules for locating enough versions is derived; at the functional part, a technique for development platforms that instantly build sufficient types is supplied, and implementational facets and exams are described.
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Extra resources for Automated Modeling of Physical Systems
5 Model fragment classes 25 specific device, and a model fragment is the specific set of equations describing some physical phenomenon in a specific component. , descriptions of classes of components and model fragments t h a t can be instantiated to create structural descriptions and models for a variety of devices. To this end, we have devised an implemented language for specifying class level descriptions of components and model fragments. We now describe this language, and show how we represent the information described above.
1. Let E be a set of independent equations, and let F1 : E ---* P ( E ) and F2 : E ~ P ( E ) be onto causal mappings. Then tc(CF1) = tc(Cr2). Proof. To show that tc(CF1) = tC(CF~) we need to show that tc(CF1) C_ tc(Cr2) and tc(CF2) C tc(CFI). We prove the first containment, with the second containment following by a symmetric argument. To show that tc(CF1 ) C tc(CF2), it suffices to show that CF, C_ tc(Cr2), since tc(tc(CF~)) = lc(CF~). Let (q,p) E Crl, and let e G E such that Fl(e) = p, and hence q E P(e).
For example, if r e s i s t a n c e ( w i r e - l ) = r e s i s t a n c e - p a r a m e t e r - I , then evaluating the term ( r e s i s t a n c e ? o b j e c t ) for the instance w i r e - 1 results in r e s i s t a n c e - p a x a m e t e r - 1 Hence, if w i r e - 1 is modeled as a R e s i s t o r , then w i r e - 1 inherits the equation: (= voltage-parameter-I (* resistance-parameter-i current -parameter- I ) ) A s s u m p t i o n classes. The assumption-class clause in a model fragment class specifies the assumption class of the model fragments which are instances of the model fragment class.