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The determinisation problem for min-plus (tropical) weighted automata was recently shown to be decidable. However, the proof is purely existential, relying on several non-constructive arguments. Our contribution in this work is twofold:…

形式语言与自动机理论 · 计算机科学 2026-05-06 Shaull Almagor , Guy Arbel , Sarai Sheinvald

The problem of inclusion of the language accepted by timed automaton $A$ (e.g., the implementation) in the language accepted by $B$ (e.g., the specification) is, in general, undecidable in the class of non-deterministic timed automata. In…

形式语言与自动机理论 · 计算机科学 2019-09-24 Amnon Rosenmann

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…

形式语言与自动机理论 · 计算机科学 2015-05-14 Tony Tan

We make a connection between the subgroup membership and identity problems for matrix groups and extended finite automata. We provide an alternative proof for the decidability of the subgroup membership problem for $ 2 \times 2 $ integer…

形式语言与自动机理论 · 计算机科学 2018-07-17 Özlem Salehi , Ahmet Celal Cem Say

The notion of delays arises naturally in many computational models, such as, in the design of circuits, control systems, and dataflow languages. In this work, we introduce \emph{automata with delay blocks} (ADBs), extending finite state…

形式语言与自动机理论 · 计算机科学 2012-08-14 Krishnendu Chatterjee , Thomas A. Henzinger , Vinayak S. Prabhu

Let $L_{>\lambda}(\mathcal{A})$ and $L_{\geq\lambda}(\mathcal{A})$ be the languages recognized by {\em measure many 1-way quantum finite automata (MM-QFA)} (or,{\em enhanced 1-way quantum finite automata(EQFA)}) $\mathcal{A}$ with strict…

形式语言与自动机理论 · 计算机科学 2023-06-06 Tianrong Lin

We introduce a new class of Parametric Timed Automata (PTAs) where we allow clocks to be compared to parameters in guards, as in classic PTAs, but also to be updated to parameters. We focus here on the EF-emptiness problem: "is the set of…

形式语言与自动机理论 · 计算机科学 2023-06-22 Étienne André , Didier Lime , Mathias Ramparison

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…

形式语言与自动机理论 · 计算机科学 2026-05-28 Udi Boker , Thomas A. Henzinger , Karoliina Lehtinen , Keya Prakash

The paper is focused on temporal logics for the description of the behaviour of real-time pushdown reactive systems. The paper is motivated to bridge tractable logics specialized for expressing separately dense-time real-time properties and…

计算机科学中的逻辑 · 计算机科学 2019-11-20 Laura Bozzelli , Aniello Murano , Adriano Peron

We study timed systems in which some timing features are unknown parameters. Parametric timed automata (PTAs) are a classical formalism for such systems but for which most interesting problems are undecidable. Notably, the parametric…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Étienne André , Didier Lime , Olivier H. Roux

We explore language semantics for automata combining probabilistic and nondeterministic behavior. We first show that there are precisely two natural semantics for probabilistic automata with nondeterminism. For both choices, we show that…

形式语言与自动机理论 · 计算机科学 2018-05-30 Gerco van Heerdt , Justin Hsu , Joël Ouaknine , Alexandra Silva

This paper studies the problem of model-checking of probabilistic automaton and probabilistic one-counter automata against probabilistic branching-time temporal logics (PCTL and PCTL$^*$). We show that it is undecidable for these problems.…

计算机科学中的逻辑 · 计算机科学 2023-07-19 T. Lin

Timed pushdown automata are pushdown automata extended with a finite set of real-valued clocks. Additionaly, each symbol in the stack is equipped with a value representing its age. The enabledness of a transition may depend on the values of…

形式语言与自动机理论 · 计算机科学 2014-02-28 Parosh Aziz Abdulla , Mohamed Faouzi Atig , Jari Stenman

Updatable timed automata (UTA) are extensions of classic timed automata that allow special updates to clock variables, like x:= x - 1, x := y + 2, etc., on transitions. Reachability for UTA is undecidable in general. Various subclasses with…

计算机科学中的逻辑 · 计算机科学 2020-09-29 Paul Gastin , Sayan Mukherjee , B Srivathsan

We consider probabilistic automata on infinite words with acceptance defined by safety, reachability, B\"uchi, coB\"uchi, and limit-average conditions. We consider quantitative and qualitative decision problems. We present extensions and…

计算机科学中的逻辑 · 计算机科学 2011-04-28 Krishnendu Chatterjee , Thomas A. Henzinger , Mathieu Tracol

A saturation algorithm for collapsible pushdown systems was published in ICALP 2012. This work introduced a class of stack automata used to recognised regular sets of collapsible pushdown configurations. It was shown that these automata…

形式语言与自动机理论 · 计算机科学 2018-05-31 Christopher Broadbent , Arnaud Carayol , Matthew Hague , Olivier Serre

We introduce the class of tree constraint automata with data values in Z (equipped with the less than relation and equality predicates to constants) and we show that the nonemptiness problem is ExpTime-complete. Using an automata-based…

计算机科学中的逻辑 · 计算机科学 2025-06-25 Stephane Demri , Karin Quaas

In the classic problem of sequence prediction, a predictor receives a sequence of values from an emitter and tries to guess the next value before it appears. The predictor masters the emitter if there is a point after which all of the…

形式语言与自动机理论 · 计算机科学 2016-03-09 Tim Smith

A new class of languages of infinite words is introduced, called the max-regular languages, extending the class of $\omega$-regular languages. The class has two equivalent descriptions: in terms of automata (a type of deterministic counter…

形式语言与自动机理论 · 计算机科学 2009-03-09 Mikolaj Bojanczyk

Formal languages over infinite alphabets serve as abstractions of structures and processes carrying data. Automata models over infinite alphabets, such as classical register automata or, equivalently, nominal orbit-finite automata, tend to…

形式语言与自动机理论 · 计算机科学 2025-05-20 Florian Frank , Daniel Hausmann , Stefan Milius , Lutz Schröder , Henning Urbat