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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 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…

Formal Languages and Automata Theory · Computer Science 2018-05-30 Gerco van Heerdt , Justin Hsu , Joël Ouaknine , Alexandra Silva

Using recent developments in coalgebraic and monad-based semantics, we present a uniform study of various notions of machines, e.g. finite state machines, multi-stack machines, Turing machines, valence automata, and weighted automata. They…

Logic in Computer Science · Computer Science 2020-03-18 Sergey Goncharov , Stefan Milius , Alexandra Silva

Pushdown automata may contain transitions that are never used in any accepting run of the automaton. We present an algorithm for detecting such useless transitions. A finite automaton that captures the possible stack content during runs of…

Formal Languages and Automata Theory · Computer Science 2013-06-11 Wan Fokkink , Dick Grune , Brinio Hond , Peter Rutgers

Describing systems in terms of choices and their resulting costs and rewards offers the promise of freeing algorithm designers and programmers from specifying how those choices should be made; in implementations, the choices can be realized…

Logic in Computer Science · Computer Science 2024-02-14 Martin Abadi , Gordon Plotkin

Does the trace language of a given vector addition system (VAS) intersect with a given context-free language? This question lies at the heart of several verification questions involving recursive programs with integer parameters. In…

Formal Languages and Automata Theory · Computer Science 2015-04-30 Jérôme Leroux , Grégoire Sutre , Patrick Totzke

Symbolic automata are finite state automata that support potentially infinite alphabets, such as the set of rational numbers, generally applied to regular expressions/languages over finite words. In symbolic automata (or automata modulo…

Formal Languages and Automata Theory · Computer Science 2023-10-05 Margus Veanes , Thomas Ball , Gabriel Ebner , Olli Saarikivi

In the last decades much research effort has been devoted to extending the success of model checking from the traditional field of finite state machines and various versions of temporal logics to suitable subclasses of context-free…

Logic in Computer Science · Computer Science 2018-09-11 Michele Chiari , Dino Mandrioli , Matteo Pradella

Deterministic and nondeterministic finite automata with translucent letters were introduced by Nagy and Otto more than a decade ago as Cooperative Distributed systems of a kind of stateless restarting automata with window size one. These…

Formal Languages and Automata Theory · Computer Science 2023-09-07 Benedek Nagy

In order to learn complex grammars, recurrent neural networks (RNNs) require sufficient computational resources to ensure correct grammar recognition. A widely-used approach to expand model capacity would be to couple an RNN to an external…

Neural and Evolutionary Computing · Computer Science 2019-09-23 Ankur Mali , Alexander Ororbia , C. Lee Giles

Traditionally, finite automata theory has been used as a framework for the representation of possibly infinite sets of strings. In this work, we introduce the notion of second-order finite automata, a formalism that combines finite automata…

Formal Languages and Automata Theory · Computer Science 2021-08-31 Alexsander Andrade de Melo , Mateus de Oliveira Oliveira

In this paper, we study the program-point reachability problem of concurrent pushdown systems that communicate via unbounded and unordered message buffers. Our goal is to relax the common restriction that messages can only be retrieved by a…

Logic in Computer Science · Computer Science 2014-01-27 Jonathan Kochems , C-H Luke Ong

The Turing machine models an old-fashioned computer, that does not interact with the user or with other computers, and only does batch processing. Therefore, we came up with a Reactive Turing Machine that does not have these shortcomings.…

Logic in Computer Science · Computer Science 2023-06-22 Jos C. M. Baeten , Cesare Carissimo , Bas Luttik

In the static analysis of functional programs, pushdown flow analysis and abstract garbage collection skirt just inside the boundaries of soundness and decidability. Alone, each method reduces analysis times and boosts precision by orders…

Programming Languages · Computer Science 2012-07-10 Christopher Earl , Ilya Sergey , Matthew Might , David Van Horn

We study the strength of axioms needed to prove various results related to automata on infinite words and B\"uchi's theorem on the decidability of the MSO theory of $(N, {\le})$. We prove that the following are equivalent over the weak…

Logic in Computer Science · Computer Science 2023-06-22 Leszek Kołodziejczyk , Henryk Michalewski , Cécilia Pradic , Michał Skrzypczak

Monadic second order logic and linear temporal logic are two logical formalisms that can be used to describe classes of infinite words, i.e., first-order models based on the natural numbers with order, successor, and finitely many unary…

Logic · Mathematics 2016-05-02 Silvio Ghilardi , Samuel J. van Gool

As an alternative to visibly pushdown automata, we introduce visibly recursive automata (VRAs), composed of a set of classical automata that can call each other. VRAs are a strict extension of so-called systems of procedural automata, a…

Formal Languages and Automata Theory · Computer Science 2026-05-12 Kévin Dubrulle , Véronique Bruyère , Guillermo A. Pérez , Gaëtan Staquet

Standpoint extensions of knowledge representation formalisms have been recently introduced as a means to incorporate multi-perspective modelling and reasoning through modal operators that attribute pieces of knowledge to specific entities…

Logic in Computer Science · Computer Science 2025-08-04 Lucía Gómez Álvarez , Sebastian Rudolph

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…

Programming Languages · Computer Science 2018-04-02 Robert Glück

We study trees where each successor set is equipped with some additional structure. We introduce a family of automaton models for such trees and prove their equivalence to certain fixed-point logics. As a consequence we obtain…

Logic in Computer Science · Computer Science 2025-02-24 Achim Blumensath
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