Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Revisiting Timed Logics with Automata Modalities   It is well known that (timed) $\omega$-regular properties such as `p holds at
every even position' and `p occurs at least three times within the next 10 time
units' cannot be expressed in Metric Interval Temporal Logic ($\mathsf{MITL}$)
and Event Clock Logic ($\mathsf{ECL}$). A standard remedy to this deficiency is
to extend these with modalities defined in terms of automata. In this paper, we
show that the logics $\mathsf{EMITL}_{0,\infty}$ (adding non-deterministic
finite automata modalities into the fragment of $\mathsf{MITL}$ with only
lower- and upper-bound constraints) and $\mathsf{EECL}$ (adding automata
modalities into $\mathsf{ECL}$) are already as expressive as $\mathsf{EMITL}$
(full $\mathsf{MITL}$ with automata modalities). In particular, the
satisfiability and model-checking problems for $\mathsf{EMITL}_{0,\infty}$ and
$\mathsf{EECL}$ are PSPACE-complete, whereas the same problems for
$\mathsf{EMITL}$ are EXPSPACE-complete. We also provide a simple translation
from $\mathsf{EMITL}_{0,\infty}$ to diagonal-free timed automata, which enables
practical satisfiability and model checking based on off-the-shelf tools.

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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: math
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys