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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

Recent algorithmic advances in algebraic automata theory drew attention to semigroupoids (semicategories). These are mathematical descriptions of typed computational processes, but they have not been studied systematically in the context of…

Formal Languages and Automata Theory · Computer Science 2025-09-30 Attila Egri-Nagy , Chrystopher L. Nehaniv

Open-world machine learning is an emerging technique in artificial intelligence, where conventional machine learning models often follow closed-world assumptions, which can hinder their ability to retain previously learned knowledge for…

Machine Learning · Computer Science 2025-11-26 Jitendra Parmar , Praveen Singh Thakur

Tree automata based algorithms are essential in many fields in computer science such as verification, specification, program analysis. They become also essential for databases with the development of standards such as XML. In this paper, we…

Computational Complexity · Computer Science 2007-05-23 J. Carme , R. Gilleron , A. Lemay , A. Terlutte , M. Tommasi

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

This paper presents a statistical, learned approach to finding names and other non-recursive entities in text (as per the MUC-6 definition of the NE task), using a variant of the standard hidden Markov model. We present our justification…

cmp-lg · Computer Science 2007-05-23 Daniel M. Bikel , Scott Miller , Richard Schwartz , Ralph Weischedel

Quantitative automata are useful representations for numerous applications, including modeling probability distributions over sequences to Markov chains and reward machines. Actively learning such automata typically occurs using explicitly…

Formal Languages and Automata Theory · Computer Science 2024-11-19 Eric Hsiung , Swarat Chaudhuri , Joydeep Biswas

Probabilistic omega-automata are variants of nondeterministic automata for infinite words where all choices are resolved by probabilistic distributions. Acceptance of an infinite input word can be defined in different ways: by requiring…

Formal Languages and Automata Theory · Computer Science 2009-07-29 Christel Baier , Nathalie Bertrand , Marcus Größer

In this paper we develop a method for learning nonlinear systems with multiple outputs and inputs. We begin by modelling the errors of a nominal predictor of the system using a latent variable framework. Then using the maximum likelihood…

Machine Learning · Statistics 2018-05-28 Per Mattsson , Dave Zachariah , Petre Stoica

The automatic complexity of a finite word (string) is an analogue for finite automata of Sipser's distinguishing complexity (1983) and was introduced by Shallit and Wang (2001). For a finite alphabet $\Sigma$ of at least two elements, we…

Formal Languages and Automata Theory · Computer Science 2025-10-10 Joey Chen , Bjørn Kjos-Hanssen , Ivan Koswara , Linus Richter , Frank Stephan

The paper describes a system that uses large language model (LLM) technology to support the automatic learning of new entries in an intelligent agent's semantic lexicon. The process is bootstrapped by an existing non-toy lexicon and a…

Computation and Language · Computer Science 2023-12-29 Sanjay Oruganti , Sergei Nirenburg , Jesse English , Marjorie McShane

We prove the existence of a canonical form for semi-deterministic transducers with incomparable sets of output strings. Based on this, we develop an algorithm which learns semi-deterministic transducers given access to translation queries.…

Machine Learning · Computer Science 2016-10-12 Achilles Beros , Colin de la Higuera

We study nominal anti-unification, which is concerned with computing least general generalizations for given terms-in-context. In general, the problem does not have a least general solution, but if the set of atoms permitted in…

Logic in Computer Science · Computer Science 2025-05-01 Alexander Baumgartner , Temur Kutsia , Jordi Levy , Mateu Villaret

We propose a modular architecture of language-specific encoder-decoders that constitutes a multilingual machine translation system that can be incrementally extended to new languages without the need for retraining the existing system when…

Computation and Language · Computer Science 2020-06-03 Carlos Escolano , Marta R. Costa-jussà , José A. R. Fonollosa , Mikel Artetxe

We present two new results on the computational limitations of affine automata. First, we show that the computation of bounded-error rational-values affine automata is simulated in logarithmic space. Second, we give an impossibility result…

Formal Languages and Automata Theory · Computer Science 2019-04-05 Mika Hirvensalo , Etienne Moutot , Abuzer Yakaryılmaz

The well-known Nerode equivalence for finite words plays a fundamental role in our understanding of the class of regular languages. The equivalence leads to the Myhill-Nerode theorem and a canonical automaton, which in turn, is the basis of…

Formal Languages and Automata Theory · Computer Science 2024-10-04 Kyveli Doveri , Pierre Ganty , B. Srivathsan

This paper presents and analyzes an incremental algorithm for the construction of Acyclic Non-deterministic Finite-state Automata (NFA). Automata of this type are quite useful in computational linguistics, especially for storing lexicons.…

Data Structures and Algorithms · Computer Science 2007-05-23 Kyriakos N. Sgarbas , Nikos D. Fakotakis , George K. Kokkinakis

In this paper, we present a new theoretical approach for enabling domain knowledge acquisition by intelligent systems. We introduce a hybrid model that starts with minimal input knowledge in the form of an upper ontology of concepts, stores…

Machine Learning · Statistics 2023-06-23 Hanna Abi Akl

A major target of linguistics and cognitive science has been to understand what class of learning systems can acquire the key structures of natural language. Until recently, the computational requirements of language have been used to argue…

Artificial Intelligence · Computer Science 2022-01-27 Yuan Yang

As a contribution to interpretable machine learning research, we develop a novel optimization framework for learning accurate and sparse two-level Boolean rules. We consider rules in both conjunctive normal form (AND-of-ORs) and disjunctive…

Machine Learning · Statistics 2016-06-21 Guolong Su , Dennis Wei , Kush R. Varshney , Dmitry M. Malioutov