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We consider a notion of non-interference for timed automata (TAs) that allows to quantify the frequency of an attack; that is, we infer values of the minimal time between two consecutive actions of the attacker, so that (s)he disturbs the…

Formal Languages and Automata Theory · Computer Science 2020-10-20 Étienne André , Aleksander Kryukov

A data word is a sequence of pairs of a letter from a finite alphabet and an element from an infinite set, where the latter can only be compared for equality. To reason about data words, linear temporal logic is extended by the freeze…

Logic in Computer Science · Computer Science 2008-04-03 Stephane Demri , Ranko Lazic

Logics and automata models for languages over infinite alphabets, such as Freeze LTL and register automata, serve the verification of processes or documents with data. They relate tightly to formalisms over nominal sets, such as…

Formal Languages and Automata Theory · Computer Science 2021-08-23 Daniel Hausmann , Stefan Milius , Lutz Schröder

We study alternating register automata on data words and data trees in relation to logics. A data word (resp. data tree) is a word (resp. tree) whose every position carries a label from a finite alphabet and a data value from an infinite…

Databases · Computer Science 2015-07-01 Diego Figueira

This paper offers a natural stochastic semantics of Networks of Priced Timed Automata (NPTA) based on races between components. The semantics provides the basis for satisfaction of probabilistic Weighted CTL properties (PWCTL),…

Software Engineering · Computer Science 2014-12-01 Alexandre David , Kim G. Larsen , Axel Legay , Marius Mikučionis , Danny Bøgsted Poulsen , Jonas van Vliet , Zheng Wang

Linear temporal logic was introduced in order to reason about reactive systems. It is often considered with respect to infinite words, to specify the behaviour of long-running systems. One can consider more general models for linear time,…

Logic in Computer Science · Computer Science 2011-01-11 Julien Cristau

We consider two natural problems about nondeterministic finite automata. First, given such an automaton M of n states, and a length l, does M accept a word of length l? We show that the classic problem of triangle-free graph recognition…

Formal Languages and Automata Theory · Computer Science 2018-02-14 Aaron Potechin , Jeffrey Shallit

In this paper we study a subclass of pebble automata (PA) for data languages for which the emptiness problem is decidable. Namely, we introduce the so-called top view weak PA. Roughly speaking, top view weak PA are weak PA where the…

Formal Languages and Automata Theory · Computer Science 2015-05-14 Tony Tan

While the complexity of translating future linear temporal logic (LTL) into automata on infinite words is well-understood, the size increase involved in turning automata back to LTL is not. In particular, there is no known elementary bound…

Formal Languages and Automata Theory · Computer Science 2022-05-10 Udi Boker , Karoliina Lehtinen , Salomon Sickert

In this paper, we introduce classically time-controlled quantum automata or CTQA, which is a reasonable modification of Moore-Crutchfield quantum finite automata that uses time-dependent evolution and a "scheduler" defining how long each…

Formal Languages and Automata Theory · Computer Science 2025-09-25 Alejandro Díaz-Caro , Marcos Villagra

Ensuring the correctness of critical real-time systems, involving concurrent behaviours and timing requirements, is crucial. Timed automata extend finite-state automata with clocks, compared in guards and invariants with integer constants.…

Logic in Computer Science · Computer Science 2026-05-06 Étienne André , Didier Lime , Olivier H. Roux

Timed basic parallel processes (TBPP) extend communication-free Petri nets (aka. BPP or commutative context-free grammars) by a global notion of time. TBPP can be seen as an extension of timed automata (TA) with context-free branching…

Formal Languages and Automata Theory · Computer Science 2019-07-09 Lorenzo Clemente , Piotr Hofman , Patrick Totzke

We study an extension of $\mtl$ in pointwise time with rational expression guarded modality $\reg_I(\re)$ where $\re$ is a rational expression over subformulae. We study the decidability and expressiveness of this extension ($\mtl$+$\varphi…

Logic in Computer Science · Computer Science 2017-05-04 Shankara Narayanan Krishna , Khushraj Madnani , P. K. Pandya

An automaton is history-deterministic if its nondeterminism can be resolved on the fly, only using the prefix of the word read so far. This mild form of nondeterminism has attracted particular attention for its applications in synthesis…

Formal Languages and Automata Theory · Computer Science 2026-05-28 Udi Boker , Thomas A. Henzinger , Karoliina Lehtinen , Keya Prakash

We consider the problem of approximating the probability mass of the set of timed paths under a continuous-time Markov chain (CTMC) that are accepted by a deterministic timed automaton (DTA). As opposed to several existing works on this…

Systems and Control · Computer Science 2013-02-04 Hongfei Fu

In this paper, we first study the conversion of weighted two-way automata to one-way automata. We show that this conversion preserves the unambiguity but does not preserve the determinism. Yet, we prove that the conversion of an unambiguous…

Formal Languages and Automata Theory · Computer Science 2014-05-23 Vincent Carnino , Sylvain Lombardy

The problem DFA-Intersection-Nonemptiness asks if a given number of deterministic automata accept a common word. In general, this problem is PSPACE-complete. Here, we investigate this problem for the subclasses of commutative automata and…

Formal Languages and Automata Theory · Computer Science 2021-08-12 Henning Fernau , Stefan Hoffmann , Michael Wehar

Finite-state tree automata are a well studied formalism for representing term languages. This paper studies the problem of determining the regularity of the set of instances of a finite set of terms with variables, where each variable is…

Symbolic Computation · Computer Science 2009-11-20 Omer Giménez , Guillem Godoy , Sebastian Maneth

Data automata on data words is a decidable model proposed by Boja\'nczyk et al. in 2006. Class automata, introduced recently by Boja\'nczyk and Lasota, is an extension of data automata which unifies different automata models on data words.…

Formal Languages and Automata Theory · Computer Science 2011-06-08 Zhilin Wu

The languages of infinite timed words accepted by timed automata are traditionally defined using Buchi-like conditions. These acceptance conditions focus on the set of locations visited infinitely often along a run, but completely ignore…

Formal Languages and Automata Theory · Computer Science 2013-09-12 Nathalie Bertrand , Patricia Bouyer , Thomas Brihaye , Amelie Stainer