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**Additional info for Automated Modeling of Physical Systems**

**Sample text**

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 ) .