By P. Pandurang Nayak
This booklet is predicated at the author's PhD thesis which used to be chosen in the course of the 1993 ACM Doctoral Dissertation pageant as one of many 3 top submissions.
This monograph investigates the matter of choosing sufficient types for reasoning approximately actual structures and purposes to engineering challenge fixing. a sublime therapy of either the theoretical and useful aspects are provided: the matter is strictly formalized, its computational complexity is analyzed intimately, and a good set of rules for locating sufficient versions is derived; at the sensible aspect, a technique for development platforms that instantly build enough versions is equipped, and implementational features and checks are described.
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Additional info for Automated Modeling of Physical Systems
We represent this space using model fragments. 1 W h a t is a m o d e l f r a g m e n t ? A model fragment is a set of independent equations that partially describe some physical phenomena at some level of granularity. 3 Model fragments 17 the same phenomena. 3 shows a model fragment that describes electrical conduction in a wire by modeling the wire as a resistor. 4 shows a different model fragment that describes the same phenomena for the wire by modeling the wire as an ideal conductor. 5 shows a model fragment that describes the temperature dependence of the wire's length, a completely different phenomena.
To relate it to terminology introduced earlier, we have: requires(Resistor(wire-i), resistance-class (wire-l)) P o s s i b l e m o d e l s . Recall that the space of device models was defined by the set of model fragments that can be used to describe the device. This set of model fragments was the union of the model fragments that can be used to describe the components of the device. This means that we need a representation of the set of model fragments that can be used to model a 30 2. Models and model fragments component.
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. More precisely, let c be a component and let l~l and H2 be model fragment classes. The model fragments M1(c) and M2(c) are in the same assumption class if and only if the a s s u m p t i o n - c l a s s clause in both H1 and •2 specify the same assumption class. Let both H1 and M2 specify A in their a s s t m p t i o n - c l a s s clause. We let the expression l ( c ) denote the assumption class of the model fragments M1 (c) and M2( c ) .