360 research outputs found
Focusing Qualitative Simulation Using Temporal Logic: Theoretical Foundations
this paper took place while the author was visiting the Qualitative Reasoning Group at the Dept. of Computer Sciences of the University of Texas at Austin. G. Brajnik and D.J. Clancy / Focusing qualitative simulation 2 formation about the trajectory of a variable or relationships between the trajectories of interconnected variables. Such information allows the modeler to restrict the simulation to a region of the state space and to specify time--varying input variables. The Temporally Constrained Qsim (TeQsim, pronounced tek'sim) algorithm combines the expressive power of these two paradigms by interleaving temporal logic model checking with qualitative simulation. Temporal logic is used to specify qualitative and quantitative trajectory information that is incorporated into the simulation to constrain and refine the resulting behaviors. Qualitative simulation constructs a set of possible behaviors consistent with a model of a dynamical system represented by a qualitative differential equation (QDE). The Qsi
Trajectory constraints in qualitative simulation
We present a method
for specifying
temporal
con-
straints on trajectories
of dynamical
systems and en-
forcing them during qualitative
simulation.
This ca-
pability can be used to focus a simulation,
simulate
non-autonomous
and piecewise-continuous
systems,
reason about boundary
condition problems and incor-
porate observations
into the simulation.
The method
has been implemented
in TeQSIM, a qualitative simu-
lator that combines the expressive power of qualitative
differential
equations
with temporal
logic.
It inter-
leaves temporal
logic model checking with the simu-
lation to constrain
and refine the resulting predicted
behaviors and to inject discontinuous
changes into the
simulation
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