By P. Pandurang Nayak
This ebook relies at the author's PhD thesis which used to be chosen through the 1993 ACM Doctoral Dissertation pageant as one of many 3 top submissions.
This monograph investigates the matter of choosing sufficient versions for reasoning approximately actual platforms and purposes to engineering challenge fixing. a chic therapy of either the theoretical and functional aspects are offered: the matter is strictly formalized, its computational complexity is analyzed intimately, and an effective set of rules for locating sufficient versions is derived; at the useful aspect, a technique for development structures that instantly build enough versions is supplied, and implementational features and assessments are described.
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Extra info for Automated Modeling of Physical Systems
However, at a much smaller time scale one can actually observe a delay in the change in resistance due to the change in temperature. Causal relations as functional dependencies have been studied in [de Kleer and Brown, 1984; Williams, 1984; Iwasaki and Simon, 1986b] and in [Forbus, 1984], where they are called indirect influences. The other type of causal relations between parameters is the integration relation between a parameter and its derivative. In contrast to functional 36 3. Adequate models dependencies that act instantaneously, the integration relation acts over a period of time.
Both V o l t a g e - p a r a m e t e r and R e s i s t a n c e - p a r a m e t e r are subclasses of P a r a m e t e r . Recall t h a t parameters represent numerical attributes of a device, in particular, of components. The relationship between a component and a p a r a m eter t h a t represents a particular attribute of the component is represented by unary functions, called parameter functions. For example, v o l t a g e - d i f f e r ence is a p a r a m e t e r function that returns the instance of V o l t a g e - p a r a m e t e r which represents the voltage difference across a component being modeled as an Electrical-conductor.
For example, we can see that the a p p r o x i m a t i o n s clause of the R e s i s t o r model fragment class specifies I d e a l - c o n d u c t o r . This means that for a component such as w i r e - l , the model fragment I d e a l - c o n d u c t o r ( w i r e - l ) is an approximation of the model fragment R e s i s t o r ( w i r e - I ) . To relate this to terminology introduced in a previous section, we have: approximation(Resistor(wire-i), Ideal-conductor (wire- 1)) Similarly, the c o n t r a d i c t o r y clause the model fragments that contradict the does not show a c o n t r a d i c t o r y clause R e s i s t o r and I d e a l - c o n d u c t o r can be clause.
Automated Modeling of Physical Systems by P. Pandurang Nayak