1,303 research outputs found
Language Emptiness of Continuous-Time Parametric Timed Automata
Parametric timed automata extend the standard timed automata with the
possibility to use parameters in the clock guards. In general, if the
parameters are real-valued, the problem of language emptiness of such automata
is undecidable even for various restricted subclasses. We thus focus on the
case where parameters are assumed to be integer-valued, while the time still
remains continuous. On the one hand, we show that the problem remains
undecidable for parametric timed automata with three clocks and one parameter.
On the other hand, for the case with arbitrary many clocks where only one of
these clocks is compared with (an arbitrary number of) parameters, we show that
the parametric language emptiness is decidable. The undecidability result
tightens the bounds of a previous result which assumed six parameters, while
the decidability result extends the existing approaches that deal with
discrete-time semantics only. To the best of our knowledge, this is the first
positive result in the case of continuous-time and unbounded integer
parameters, except for the rather simple case of single-clock automata
MTL-Model Checking of One-Clock Parametric Timed Automata is Undecidable
Parametric timed automata extend timed automata (Alur and Dill, 1991) in that
they allow the specification of parametric bounds on the clock values. Since
their introduction in 1993 by Alur, Henzinger, and Vardi, it is known that the
emptiness problem for parametric timed automata with one clock is decidable,
whereas it is undecidable if the automaton uses three or more parametric
clocks. The problem is open for parametric timed automata with two parametric
clocks. Metric temporal logic, MTL for short, is a widely used specification
language for real-time systems. MTL-model checking of timed automata is
decidable, no matter how many clocks are used in the timed automaton. In this
paper, we prove that MTL-model checking for parametric timed automata is
undecidable, even if the automaton uses only one clock and one parameter and is
deterministic.Comment: In Proceedings SynCoP 2014, arXiv:1403.784
LTL Parameter Synthesis of Parametric Timed Automata
The parameter synthesis problem for parametric timed automata is undecidable
in general even for very simple reachability properties. In this paper we
introduce restrictions on parameter valuations under which the parameter
synthesis problem is decidable for LTL properties. The investigated bounded
integer parameter synthesis problem could be solved using an explicit
enumeration of all possible parameter valuations. We propose an alternative
symbolic zone-based method for this problem which results in a faster
computation. Our technique extends the ideas of the automata-based approach to
LTL model checking of timed automata. To justify the usefulness of our
approach, we provide experimental evaluation and compare our method with
explicit enumeration technique.Comment: 23 pages, extended versio
Revisiting Reachability in Timed Automata
We revisit a fundamental result in real-time verification, namely that the
binary reachability relation between configurations of a given timed automaton
is definable in linear arithmetic over the integers and reals. In this paper we
give a new and simpler proof of this result, building on the well-known
reachability analysis of timed automata involving difference bound matrices.
Using this new proof, we give an exponential-space procedure for model checking
the reachability fragment of the logic parametric TCTL. Finally we show that
the latter problem is NEXPTIME-hard
Configuring Timing Parameters to Ensure Execution-Time Opacity in Timed Automata
Timing information leakage occurs whenever an attacker successfully deduces
confidential internal information by observing some timed information such as
events with timestamps. Timed automata are an extension of finite-state
automata with a set of clocks evolving linearly and that can be tested or
reset, making this formalism able to reason on systems involving concurrency
and timing constraints. In this paper, we summarize a recent line of works
using timed automata as the input formalism, in which we assume that the
attacker has access (only) to the system execution time. First, we address the
following execution-time opacity problem: given a timed system modeled by a
timed automaton, given a secret location and a final location, synthesize the
execution times from the initial location to the final location for which one
cannot deduce whether the secret location was visited. This means that for any
such execution time, the system is opaque: either the final location is not
reachable, or it is reachable with that execution time for both a run visiting
and a run not visiting the secret location. We also address the full
execution-time opacity problem, asking whether the system is opaque for all
execution times; we also study a weak counterpart. Second, we add timing
parameters, which are a way to configure a system: we identify a subclass of
parametric timed automata with some decidability results. In addition, we
devise a semi-algorithm for synthesizing timing parameter valuations
guaranteeing that the resulting system is opaque. Third, we report on problems
when the secret has itself an expiration date, thus defining expiring
execution-time opacity problems. We finally show that our method can also apply
to program analysis with configurable internal timings.Comment: In Proceedings TiCSA 2023, arXiv:2310.18720. This invited paper
mainly summarizes results on opacity from two recent works published in ToSEM
(2022) and at ICECCS 2023, providing unified notations and concept names for
the sake of consistency. In addition, we prove a few original results absent
from these work
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