Download PDF by P. Pandurang Nayak: Automated Modeling of Physical Systems

By P. Pandurang Nayak

This ebook is predicated at the author's PhD thesis which was once chosen through the 1993 ACM Doctoral Dissertation festival as one of many 3 most sensible submissions.
This monograph investigates the matter of choosing enough types for reasoning approximately actual platforms and purposes to engineering challenge fixing. a chic remedy of either the theoretical and functional facets are provided: the matter is strictly formalized, its computational complexity is analyzed intimately, and a good set of rules for locating enough types is derived; at the useful part, a strategy for construction structures that instantly build sufficient types is supplied, and implementational facets and assessments are described.

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Consider, for example, a bathtub partially filled with water. Suppose that a tap has been turned on to fill up the bathtub. Simultaneously, suppose that the drain plug in the bathtub has been opened to try and empty the bathtub. , from the tap into the bathtub, and out of the bathtub through the drain) can be described by the equation: dVtub d~ -/~ap -/dra~,~ where Vt~b is the volume of water in the tub, ft~p is the rate at which water enters the tub through the tap, and fdrain is the rate at which water leaves 1 As we shall see later, not every subset of model fragments can be viewed as a model, but the basic observation still holds.

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 ) . 2 Furthermore, we will sometimes say "the assumption class of M1 is A," meaning that for any component c, the model fragment MI(c) is in assumption class A(c).

If F2(e) = p, then (q,p) E CF~, and hence (q,p) E tc(CF2). 2. If F2(e) r p, construct the sequence PO,Pl,...

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