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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

We consider the computational power of silent transitions in one-way automata with storage. Specifically, we ask which storage mechanisms admit a transformation of a given automaton into one that accepts the same language and reads at least…

Formal Languages and Automata Theory · Computer Science 2013-02-18 Georg Zetzsche

We study the problem of synthesizing string to string transformations from a set of input/output examples. The transformations we consider are expressed using deterministic finite automata (DFA) that read pairs of letters, one letter from…

Formal Languages and Automata Theory · Computer Science 2018-06-06 Jad Hamza , Viktor Kunčak

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

Probabilistic B\"uchi Automata (PBA) are randomized, finite state automata that process input strings of infinite length. Based on the threshold chosen for the acceptance probability, different classes of languages can be defined. In this…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Rohit Chadha , A. Prasad Sistla , Mahesh Viswanathan

Constraint Satisfaction Problem on finite sets is known to be NP-complete in general but certain restrictions on the constraint language can ensure tractability. It was proved that if a constraint language has a weak near unanimity…

Computational Complexity · Computer Science 2019-03-07 Dmitriy Zhuk

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…

Formal Languages and Automata Theory · Computer Science 2009-05-08 Andreas Malcher , Giovanni Pighizzini

Indexed languages are a classical notion in formal language theory, which has attracted attention in recent decades due to its role in higher-order model checking: They are precisely the languages accepted by order-2 pushdown automata. The…

Formal Languages and Automata Theory · Computer Science 2026-05-28 Richard Mandel , Corto Mascle , Georg Zetzsche

A process algebra is proposed, whose semantics maps a term to a nondeterministic finite automaton (NFA, for short). We prove a representability theorem: for each NFA $N$, there exists a process algebraic term $p$ such that its semantics is…

Formal Languages and Automata Theory · Computer Science 2024-02-02 Roberto Gorrieri

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…

Formal Languages and Automata Theory · Computer Science 2014-04-28 Fabian Reiter

This papers presents a general framework for the uniform random generation of deterministic real-time accessible pushdown automata. A polynomial time algorithm to randomly generate a pushdown automaton having a fixed stack operations total…

Formal Languages and Automata Theory · Computer Science 2016-03-26 Pierre-Cyrille Héam , Jean-Luc Joly

The downward closure of a language $L$ of words is the set of all (not necessarily contiguous) subwords of members of $L$. It is well known that the downward closure of any language is regular. Although the downward closure seems to be a…

Formal Languages and Automata Theory · Computer Science 2014-09-30 Georg Zetzsche

The downward closure of a word language is the set of all (not necessarily contiguous) subwords of its members. It is well-known that the downward closure of any language is regular. While the downward closure appears to be a powerful…

Formal Languages and Automata Theory · Computer Science 2015-06-02 Georg Zetzsche

Hybrid automata are a natural framework for modeling and analyzing systems which exhibit a mixed discrete continuous behaviour. However, the standard operational semantics defined over such models implicitly assume perfect knowledge of the…

Systems and Control · Computer Science 2013-08-27 Alberto Casagrande , Tommaso Dreossi , Carla Piazza

We propose Pushdown Normal Form (PDNF) Bisimulation to verify contextual equivalence in higher-order functional programming languages with local state. Similar to previous work on Normal Form (NF) bisimulation, PDNF Bisimulation is sound…

Programming Languages · Computer Science 2023-11-03 Vasileios Koutavas , Yu-Yang Lin , Nikos Tzevelekos

Boolean programs with multiple recursive threads can be captured as pushdown automata with multiple stacks. This model is Turing complete, and hence, one is often interested in analyzing a restricted class that still captures useful…

Formal Languages and Automata Theory · Computer Science 2020-05-06 S. Akshay , Paul Gastin , S Krishna , Sparsa Roychowdhury

We study an expressive model of timed pushdown automata extended with modular and fractional clock constraints. We show that the binary reachability relation is effectively expressible in hybrid linear arithmetic with a rational and an…

Formal Languages and Automata Theory · Computer Science 2018-05-01 Lorenzo Clemente , Sławomir Lasota

A deterministic finite automaton in which every non-empty set of states occurs as the image of the whole state set under the action of a suitable input word is called completely reachable. It was conjectured that in each completely…

Formal Languages and Automata Theory · Computer Science 2024-03-20 David Casas , Mikhail V. Volkov

The class of local languages is a well-known subclass of the regular languages that admits many equivalent characterizations. In this short note we establish the PSPACE-completeness of the problem of determining, given as input a…

Formal Languages and Automata Theory · Computer Science 2025-11-11 Antoine Amarilli , Mikaël Monet , Rémi De Pretto

We propose an algorithm for schema-based determinization of finite automata on words and of step-wise hedge automata on nested words. The idea is to integrate schema-based cleaning directly into automata determinization. We prove the…

Formal Languages and Automata Theory · Computer Science 2022-09-22 Joachim Niehren , Momar Sakho , Antonio Al Serhali