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Register pushdown automata (RPDA) is an extension of classical pushdown automata to handle data values in a restricted way. RPDA attracts attention as a model of a query language for structured documents with data values. The membership and…

Formal Languages and Automata Theory · Computer Science 2019-10-24 Ryoma Senda , Yoshiaki Takata , Hiroyuki Seki

Bisimulation relation has been successfully applied to computer science and control theory. In our previous work, simulation-based controllability and simulation-based observability are proposed, under which the existence of bisimilarity…

Systems and Control · Computer Science 2016-11-25 Yajuan Sun , Hai Lin , Fuchun Liu

We present an efficient algorithm for checking language equivalence of states in top-down deterministic finite tree automata (DFTAs). Unlike string automata, tree automata operate over hierarchical structures, posing unique challenges for…

Formal Languages and Automata Theory · Computer Science 2025-04-08 Zhibo Deng , Vladimir A. Zakharov

For general input automata, there exist regular constraint languages such that asking if a given input automaton admits a synchronizing word in the constraint language is PSPACE-complete or NP-complete. Here, we investigate this problem for…

Formal Languages and Automata Theory · Computer Science 2021-09-08 Stefan Hoffmann

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…

Computer Science and Game Theory · Computer Science 2007-05-23 Thierry Cachat , Igor Walukiewicz

Automata over infinite alphabets have recently come to be studied extensively as potentially useful tools for solving problems in verification and database theory. One popular model of automata studied is the Class Memory Automata (CMA),…

Formal Languages and Automata Theory · Computer Science 2014-12-01 Conrad Cotton-Barratt , Andrzej Murawski , Luke Ong

Input-driven pushdown automata (also known as visibly pushdown automata and as nested word automata) are a subclass of deterministic pushdown automata and a superclass of the parenthesis languages. Nguyen and Ogawa ("Event-clock visibly…

Formal Languages and Automata Theory · Computer Science 2021-03-09 Mizuhito Ogawa , Alexander Okhotin

In this note, we provide complexity characterizations of model checking multi-pushdown systems. Multi-pushdown systems model recursive concurrent programs in which any sequential process has a finite control. We consider three standard…

Logic in Computer Science · Computer Science 2012-12-10 Kshitij Bansal , Stéphane Demri

A recent result of Haase et al. has shown that reachability in two-clock timed automata is log-space equivalent to reachability in bounded one-counter automata. We show that reachability in bounded one-counter automata is PSPACE-complete.

Formal Languages and Automata Theory · Computer Science 2020-01-15 John Fearnley , Marcin Jurdziński

We first give an improved lower bound for the deterministic online simulation of tapes or pushdown stores by queues. Then we inspect some proofs in a classical work on queue machines in the area of Formal Languages and outline why a main…

Computational Complexity · Computer Science 2018-03-13 Holger Petersen

This paper presents efficient algorithms for testing the finite, polynomial, and exponential ambiguity of finite automata with $\epsilon$-transitions. It gives an algorithm for testing the exponential ambiguity of an automaton $A$ in time…

Computational Complexity · Computer Science 2008-02-25 Cyril Allauzen , Mehryar Mohri , Ashish Rastogi

We introduce languages of higher-dimensional automata (HDAs) and develop some of their properties. To this end, we define a new category of precubical sets, uniquely naturally isomorphic to the standard one, and introduce a notion of event…

Formal Languages and Automata Theory · Computer Science 2021-09-06 Uli Fahrenberg , Christian Johansen , Georg Struth , Krzysztof Ziemiański

We consider pushdown timed automata (PTAs) that are timed automata (with dense clocks) augmented with a pushdown stack. A configuration of a PTA includes a control state, dense clock values and a stack word. By using the pattern technique,…

Logic in Computer Science · Computer Science 2007-05-23 Zhe Dang

We present efficient algorithms to reduce the size of nondeterministic B\"uchi word automata (NBA) and nondeterministic finite word automata (NFA), while retaining their languages. Additionally, we describe methods to solve PSPACE-complete…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Lorenzo Clemente , Richard Mayr

A deterministic finite automaton is said to be synchronizing if it has a reset word, i.e. a word that brings all states of the automaton to a particular one. We prove that it is a PSPACE-complete problem to check whether the language of…

Formal Languages and Automata Theory · Computer Science 2014-05-15 Marina Maslennikova

We generalize the concept of synchronizing words for finite automata, which map all states of the automata to the same state, to deterministic visibly push-down automata. Here, a synchronizing word w does not only map all states to the same…

Formal Languages and Automata Theory · Computer Science 2020-07-20 Henning Fernau , Petra Wolf

We introduce a certain restriction of weighted automata over the rationals, called image-binary automata. We show that such automata accept the regular languages, can be exponentially more succinct than corresponding NFAs, and allow for…

Formal Languages and Automata Theory · Computer Science 2022-03-29 Stefan Kiefer , Cas Widdershoven

We introduce weighted one-deterministic-counter automata (ODCA). These are weighted one-counter automata (OCA) with the property of counter-determinacy, meaning that all paths labelled by a given word starting from the initial configuration…

Formal Languages and Automata Theory · Computer Science 2023-07-31 Prince Mathew , Vincent Penelle , Prakash Saivasan , A. V. Sreejith

Visibly pushdown transducers form a subclass of pushdown transducers that (strictly) extends finite state transducers with a stack. Like visibly pushdown automata, the input symbols determine the stack operations. In this paper, we prove…

Formal Languages and Automata Theory · Computer Science 2015-05-18 Emmanuel Filiot , Jean-François Raskin , Pierre-Alain Reynier , Frédéric Servais , Jean-Marc Talbot

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…

Logic in Computer Science · Computer Science 2017-04-20 Karin Quaas , Mahsa Shirmohammadi , James Worrell