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The B\"uchi non-emptiness problem for timed automata refers to deciding if a given automaton has an infinite non-Zeno run satisfying the B\"uchi accepting condition. The standard solution to this problem involves adding an auxiliary clock…

计算机科学中的逻辑 · 计算机科学 2020-12-07 Frédéric Herbreteau , B. Srivathsan , Igor Walukiewicz

Automata with monitor counters, where the transitions do not depend on counter values, and nested weighted automata are two expressive automata-theoretic frameworks for quantitative properties. For a well-studied and wide class of…

形式语言与自动机理论 · 计算机科学 2023-06-22 Krishnendu Chatterjee , Thomas A. Henzinger , Jan Otop

Parametric timed automata (PTAs) are a powerful formalism to reason, simulate and formally verify critical real-time systems. After 25 years of research on PTAs, it is now well-understood that any non-trivial problem studied is undecidable…

计算机科学中的逻辑 · 计算机科学 2019-07-04 Étienne André

Timed automata (TAs) are an extension of finite automata that can measure and react to the passage of time, providing the ability to handle real-time constraints using clocks. In 2009, Franck Cassez showed that the timed opacity problem,…

计算机科学中的逻辑 · 计算机科学 2026-03-30 Étienne André , Sarah Dépernet , Engel Lefaucheux

We study reachability games on recursive timed automata (RTA) that generalize Alur-Dill timed automata with recursive procedure invocation mechanism similar to recursive state machines. It is known that deciding the winner in reachability…

形式语言与自动机理论 · 计算机科学 2014-08-27 Shankara Narayanan Krishna , Lakshmi Manasa , Ashutosh Trivedi

Sampled semantics of timed automata is a finite approximation of their dense time behavior. While the former is closer to the actual software or hardware systems with a fixed granularity of time, the abstract character of the latter makes…

形式语言与自动机理论 · 计算机科学 2015-07-01 Pavel Krcal , Parosh Aziz Abdulla , Wang Yi

We consider a general class of decision problems concerning formal languages, called ``(one-dimensional) unboundedness predicates'', for automata that feature reversal-bounded counters (RBCA). We show that each problem in this class reduces…

形式语言与自动机理论 · 计算机科学 2023-01-25 Pascal Baumann , Flavio D'Alessandro , Moses Ganardi , Oscar Ibarra , Ian McQuillan , Lia Schütze , Georg Zetzsche

The question if a deterministic finite automaton admits a software reset in the form of a so-called synchronizing word can be answered in polynomial time. In this paper, we extend this algorithmic question to deterministic automata beyond…

形式语言与自动机理论 · 计算机科学 2020-12-23 Henning Fernau , Petra Wolf , Tomoyuki Yamakami

We define a class of languages of infinite words over infinite alphabets, and the corresponding automata. The automata used for recognition are a generalisation of deterministic Muller automata to the setting of nominal sets. Remarkably,…

形式语言与自动机理论 · 计算机科学 2013-10-16 Vincenzo Ciancia , Matteo Sammartino

The value 1 problem is a decision problem for probabilistic automata over finite words: given a probabilistic automaton A, are there words accepted by A with probability arbitrarily close to 1? This problem was proved undecidable recently.…

形式语言与自动机理论 · 计算机科学 2012-01-27 Nathanaël Fijalkow , Hugo Gimbert , Youssouf Oualhadj

The value 1 problem is a decision problem for probabilistic automata over finite words: given a probabilistic automaton, are there words accepted with probability arbitrarily close to 1? This problem was proved undecidable recently; to…

形式语言与自动机理论 · 计算机科学 2017-01-11 Nathanaël Fijalkow , Hugo Gimbert , Edon Kelmendi , Youssouf Oualhadj

This paper contains two results on timed extensions of pushdown automata (PDA). As our first result we prove that the model of dense-timed PDA of Abdulla et al. collapses: it is expressively equivalent to dense-timed PDA with timeless…

形式语言与自动机理论 · 计算机科学 2015-04-20 Lorenzo Clemente , Sławomir Lasota

We propose a new abstract formalism for probabilistic timed systems, Parametric Interval Probabilistic Timed Automata, based on an extension of Parametric Timed Automata and Interval Markov Chains. In this context, we consider the…

形式语言与自动机理论 · 计算机科学 2019-06-13 Étienne André , Benoît Delahaye , Paulin Fournier

We define the class of explorable automata on finite or infinite words. This is a generalization of History-Deterministic (HD) automata, where this time non-deterministic choices can be resolved by building finitely many simultaneous runs…

形式语言与自动机理论 · 计算机科学 2025-11-26 Emile Hazard , Olivier Idir , Denis Kuperberg

We introduce layered automata, a subclass of alternating parity automata that generalises deterministic automata. Assuming a consistency property, these automata are history deterministic and 0-1 probabilistic. We show that every…

形式语言与自动机理论 · 计算机科学 2026-01-23 Antonio Casares , Christof Löding , Igor Walukiewicz

We propose a formal proof of the undecidability of the model checking problem for alternating- time temporal logic under imperfect information and perfect recall semantics. This problem was announced to be undecidable according to a…

计算机科学中的逻辑 · 计算机科学 2011-02-22 Catalin Dima , Ferucio Laurentiu Tiplea

Timed automata are a common formalism for the verification of concurrent systems subject to timing constraints. They extend finite-state automata with clocks, that constrain the system behavior in locations, and to take transitions. While…

密码学与安全 · 计算机科学 2022-06-08 Johan Arcile , Étienne André

Inspired by distributed algorithms, we introduce a new class of finite graph automata that recognize precisely the graph languages definable in monadic second-order logic. For the cases of words and trees, it has been long known that the…

形式语言与自动机理论 · 计算机科学 2014-04-28 Fabian Reiter

We define a new subclass of nondeterministic finite automata for prefix-closed languages called Flanked Finite Automata (FFA). We show that this class enjoys good complexity properties while preserving the succinctness of nondeterministic…

形式语言与自动机理论 · 计算机科学 2015-09-23 Florent Avellaneda , Silvano Dal Zilio , Jean-Baptiste Raclet

The paper proposes and studies temporal logics for attributed words, that is, data words with a (finite) set of (attribute,value)-pairs at each position. It considers a basic logic which is a semantical fragment of the logic…

计算机科学中的逻辑 · 计算机科学 2015-03-17 Ahmet Kara , Thomas Schwentick , Thomas Zeume