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We show how to efficiently enumerate a class of finite-memory stochastic processes using the causal representation of epsilon-machines. We characterize epsilon-machines in the language of automata theory and adapt a recent algorithm for…

Formal Languages and Automata Theory · Computer Science 2012-12-18 B. D. Johnson , J. P. Crutchfield , C. J. Ellison , C. S. McTague

Active learning of finite automata has been vigorously pursued for the purposes of analysis and explanation of black-box systems. In this paper, we study an L*-style learning algorithm for weighted automata over the max-plus semiring. The…

Formal Languages and Automata Theory · Computer Science 2024-07-16 Takamasa Okudono , Masaki Waga , Taro Sekiyama , Ichiro Hasuo

Automata models for data languages (i.e. languages over infinite alphabets) often feature either global or local freshness operators. We show that Bollig et al.'s session automata, which focus on global freshness, are equivalent to regular…

Formal Languages and Automata Theory · Computer Science 2021-01-22 Lutz Schröder , Dexter Kozen , Stefan Milius , Thorsten Wißmann

Weighted finite automata (WFA) can expressively model functions defined over strings but are inherently linear models. Given the recent successes of nonlinear models in machine learning, it is natural to wonder whether ex-tending WFA to the…

Formal Languages and Automata Theory · Computer Science 2017-12-22 Tianyu Li , Guillaume Rabusseau , Doina Precup

This work attempts to explain the types of computation that neural networks can perform by relating them to automata. We first define what it means for a real-time network with bounded precision to accept a language. A measure of network…

Computation and Language · Computer Science 2021-01-06 William Merrill

We present a novel end-to-end reinforcement learning approach to automatic taxonomy induction from a set of terms. While prior methods treat the problem as a two-phase task (i.e., detecting hypernymy pairs followed by organizing these pairs…

Computation and Language · Computer Science 2018-05-14 Yuning Mao , Xiang Ren , Jiaming Shen , Xiaotao Gu , Jiawei Han

The depth-bounded fragment of the pi-calculus is an expressive class of systems enjoying decidability of some important verification problems. Unfortunately membership of the fragment is undecidable. We propose a novel type system,…

Logic in Computer Science · Computer Science 2015-02-24 Emanuele D'Osualdo , Luke Ong

The demands on visual recognition systems do not end with the complexity offered by current large-scale image datasets, such as ImageNet. In consequence, we need curious and continuously learning algorithms that actively acquire knowledge…

Computer Vision and Pattern Recognition · Computer Science 2016-12-20 Christoph Käding , Erik Rodner , Alexander Freytag , Joachim Denzler

Weighted automata is a basic tool for specification in quantitative verification, which allows to express quantitative features of analysed systems such as resource consumption. Quantitative specification can be assisted by automata…

Computational Complexity · Computer Science 2024-03-04 Jakub Michaliszyn , Jan Otop

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

In this paper we revisit Safra's determinization constructions for automata on infinite words. We show how to construct deterministic automata with fewer states and, most importantly, parity acceptance conditions. Determinization is used in…

Logic in Computer Science · Computer Science 2019-03-14 Nir Piterman

Students find their first course in Formal Languages and Automata Theory challenging. In addition to the development of formal arguments, most students struggle to understand nondeterministic computation models. In part, the struggle stems…

Programming Languages · Computer Science 2023-10-24 Oliwia Kempinski , Marco T. Morazán

Active learning of timed languages is concerned with the inference of timed automata from observed timed words. The agent can query for the membership of words in the target language, or propose a candidate model and verify its equivalence…

Logic in Computer Science · Computer Science 2020-07-09 Léo Henry , Nicolas Markey , Thierry Jéron

We cast new light on the existing models of one-way deterministic topological automata by introducing a fresh but general, convenient model, in which, as each input symbol is read, an interior system of an automaton, known as a…

Formal Languages and Automata Theory · Computer Science 2021-04-19 Tomoyuki Yamakami

Deterministic timed automata are strictly less expressive than their non-deterministic counterparts, which are again less expressive than those with silent transitions. As a consequence, timed automata are in general non-determinizable.…

Formal Languages and Automata Theory · Computer Science 2015-08-17 Florian Lorber , Amnon Rosenmann , Dejan Nickovic , Bernhard Aichernig

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…

Logic in Computer Science · Computer Science 2011-04-28 Krishnendu Chatterjee , Thomas A. Henzinger , Mathieu Tracol

We propose a novel automata model over the alphabet of rational numbers, which we call register automata over the rationals (RA-Q). It reads a sequence of rational numbers and outputs another rational number. RA-Q is an extension of the…

Formal Languages and Automata Theory · Computer Science 2017-05-18 Yu-Fang Chen , Ondrej Lengal , Tony Tan , Zhilin Wu

We present a general framework based on weighted finite automata and weighted finite-state transducers for describing and implementing speech recognizers. The framework allows us to represent uniformly the information sources and data…

cmp-lg · Computer Science 2008-02-03 Fernando C. N. Pereira , Michael D. Riley

This paper provides a coalgebraic approach to the language semantics of two types of non-deterministic automata over nominal sets: non-deterministic orbit-finite automata (NOFAs) and regular nominal non-deterministic automata (RNNAs), which…

Logic in Computer Science · Computer Science 2022-03-30 Florian Frank , Stefan Milius , Henning Urbat

We consider two-variable first-order logic $\text{FO}^2$ and its quantifier alternation hierarchies over both finite and infinite words. Our main results are forbidden patterns for deterministic automata (finite words) and for Carton-Michel…

Formal Languages and Automata Theory · Computer Science 2021-09-02 Viktor Henriksson , Manfred Kufleitner