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We explore the notion of history-determinism in the context of timed automata (TA) over infinite timed words. History-deterministic (HD) automata are those in which nondeterminism can be resolved on the fly, based on the run constructed…

形式语言与自动机理论 · 计算机科学 2024-10-16 Sougata Bose , Thomas A. Henzinger , Karoliina Lehtinen , Sven Schewe , Patrick Totzke

We study explorability, a measure of nondeterminism in pushdown automata, which generalises history-determinism. An automaton is k-explorable if, while reading the input, it suffices to follow k concurrent runs, built step-by-step based…

形式语言与自动机理论 · 计算机科学 2025-11-07 Ayaan Bedi , Karoliina Lehtinen

We introduce good-for-games $\omega$-pushdown automata ($\omega$-GFG-PDA). These are automata whose nondeterminism can be resolved based on the input processed so far. Good-for-gameness enables automata to be composed with games, trees, and…

形式语言与自动机理论 · 计算机科学 2023-06-22 Karoliina Lehtinen , Martin Zimmermann

A nondeterministic automaton is history-deterministic if its nondeterminism can be resolved by only considering the prefix of the word read so far. Due to their good compositional properties, history-deterministic automata are useful in…

形式语言与自动机理论 · 计算机科学 2024-02-14 Udi Boker , Karoliina Lehtinen

Finite-turn pushdown automata (PDA) are investigated concerning their descriptional complexity. It is known that they accept exactly the class of ultralinear context-free languages. Furthermore, the increase in size when converting…

形式语言与自动机理论 · 计算机科学 2009-05-08 Andreas Malcher , Giovanni Pighizzini

We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Vojtěch Forejt , Petr Jančar , Stefan Kiefer , James Worrell

Over the last 25 years, a lot of work has been done on seeking for decidable non-regular extensions of Propositional Dynamic Logic (PDL). Only recently, an expressive extension of PDL, allowing visibly pushdown automata (VPAs) as a…

计算机科学中的逻辑 · 计算机科学 2007-07-18 Stefan Göller , Dirk Nowotka

We report some further developments regarding the language theory of higher-dimensional automata (HDAs). Regular languages of HDAs are sets of finite interval partially ordered multisets (pomsets) with interfaces. We show a pumping lemma…

形式语言与自动机理论 · 计算机科学 2024-07-19 Amazigh Amrane , Hugo Bazille , Uli Fahrenberg , Krzysztof Ziemiański

History-deterministic automata are those in which nondeterministic choices can be correctly resolved stepwise: there is a strategy to select a continuation of a run given the next input letter so that if the overall input word admits some…

形式语言与自动机理论 · 计算机科学 2026-04-01 Soumyajit Paul , David Purser , Sven Schewe , Qiyi Tang , Patrick Totzke , Di-De Yen

Good-for-MDPs and good-for-games automata are two recent classes of nondeterministic automata that reside between general nondeterministic and deterministic automata. Deterministic automata are good-for-games, and good-for-games automata…

形式语言与自动机理论 · 计算机科学 2023-07-24 Sven Schewe , Qiyi Tang

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 study alternating parity good-for-games (GFG) automata, i.e., alternating parity automata where both conjunctive and disjunctive choices can be resolved in an online manner, without knowledge of the suffix of the input word still to be…

形式语言与自动机理论 · 计算机科学 2020-10-01 Udi Boker , Denis Kuperberg , Karoliina Lehtinen , Michał Skrzypczak

An experiment is described that confirms the security of a well-studied class of cryptographic protocols (Dolev-Yao intruder model) can be verified by two-way nondeterministic pushdown automata (2NPDA). A nondeterministic pushdown program…

编程语言 · 计算机科学 2018-04-02 Robert Glück

We prove an n-EXPTIME lower bound for the problem of deciding the winner in a reachability game on Higher Order Pushdown Automata (HPDA) of level n. This bound matches the known upper bound for parity games on HPDA. As a consequence the…

计算机科学与博弈论 · 计算机科学 2007-05-23 Thierry Cachat , Igor Walukiewicz

The simulation of deterministic pushdown automata defined over a one-letter alphabet by finite state automata is investigated from a descriptional complexity point of view. We show that each unary deterministic pushdown automaton of size s…

形式语言与自动机理论 · 计算机科学 2009-05-11 Giovanni Pighizzini

A nondeterministic automaton is semantically deterministic (SD) if different nondeterministic choices in the automaton lead to equivalent states. Semantic determinism is interesting as it is a natural relaxation of determinism, and as some…

形式语言与自动机理论 · 计算机科学 2023-05-26 Bader Abu Radi , Orna Kupferman

Input-driven pushdown automata with translucent input letters are investigated. Here, the use of translucent input letters means that the input is processed in several sweeps and that, depending on the current state of the automaton, some…

形式语言与自动机理论 · 计算机科学 2025-07-22 Martin Kutrib , Andreas Malcher , Matthias Wendlandt

We study three levels in a hierarchy of nondeterminism: A nondeterministic automaton $\mathcal{A}$ is determinizable by pruning (DBP) if we can obtain a deterministic automaton equivalent to $\mathcal{A}$ by removing some of its…

形式语言与自动机理论 · 计算机科学 2025-10-29 Bader Abu Radi , Orna Kupferman , Ofer Leshkowitz

We propose a new extension of higher-order pushdown automata, which allows to use an infinite alphabet. The new automata recognize languages of data words (instead of normal words), which beside each its letter from a finite alphabet have a…

形式语言与自动机理论 · 计算机科学 2012-10-10 Paweł Parys

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
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