Semantics Overview Sample Clauses

Semantics Overview. ‌ Our approach to the semantics of Modelica is to denote the core constructs of the language in the theory of hybrid reactive designs. Since we are interested in proof facilities for Modelica, our semantics is also mechanised in Isabelle/UTP. In terms of presentation, we give a mainly mathematical semantics and leave details of the mechanisation to later sections. Fundamentally, a Modelica program is denoted by the set of possible evolutions of its variables; that is, a set of trajectories. This set of trajectories is characterised by the operators of hybrid reactive designs. This includes both a model’s differential and alge- braic equations, and its instantaneous events. The latter are catered for by the fact that timed traces are piecewise continuous. Thus, the trace of a Modelica model consists of an alternating sequence of continuous evolutions of the variables, followed by discrete jumps when events occur. Structurally, Modelica allows the description of collections of models that collectively specify the possible behaviours of discrete and continuous variables. A “model”, to use Modelica terminology, consists of the following principle concepts.
Sample 1
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