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Abstract:
This paper identifies an industrially relevant class of
linear hybrid automata (LHA) called reasonable LHA for
which parametric verification of convex safety properties
with exhaustive entry states can be verified in polynomial
time and time-bounded reachability can be decided
in nondeterministic polynomial time for non-parametric
verification and in exponential time for
parametric verification. Properties with exhaustive entry
states are restricted to runs originating in
a (specified) inner envelope of some mode-invariant.
Deciding whether an LHA is reasonable is
shown to be decidable in polynomial time.