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We present a definition of the class NP in combinatorial context as the set of languages of structures defined by finitely many forbidden lifted substructures. We apply this to special syntactically defined subclasses and show how they…

Combinatorics · Mathematics 2007-06-13 Gabor Kun , Jaroslav Nesetril

Understanding language requires grasping not only the overtly stated content, but also making inferences about things that were left unsaid. These inferences include presuppositions, a phenomenon by which a listener learns about new…

Computation and Language · Computer Science 2021-09-16 Alicia Parrish , Sebastian Schuster , Alex Warstadt , Omar Agha , Soo-Hwan Lee , Zhuoye Zhao , Samuel R. Bowman , Tal Linzen

We give an example of two ordered structures M, N in the same language L with the same universe, the same order and admitting the same one-variable definable subsets such that M is a model of the common theory of o-minimal L-structures and…

Logic · Mathematics 2023-09-15 Nadav Meir

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

The Eilenberg correspondence relates varieties of regular languages to pseudovarieties of finite monoids. Various modifications of this correspondence have been found with more general classes of regular languages on one hand and classes of…

Formal Languages and Automata Theory · Computer Science 2019-03-20 Ondřej Klíma , Libor Polák

In the constrained synchronization problem we ask if a given automaton admits a synchronizing word coming from a fixed regular constraint language. We show that intersecting a given constraint language with an ideal language decreases the…

Formal Languages and Automata Theory · Computer Science 2021-03-19 Stefan Hoffmann

We describe our ongoing research that centres on the application of natural language processing (NLP) to software engineering and systems development activities. In particular, this paper addresses the use of NLP in the requirements…

Computation and Language · Computer Science 2014-07-24 S. G. Macdonell , K. Min , A. M. Connor

We study the class of languages that have membership proofs which can be verified by real-time finite-state machines using only a constant number of random bits, regardless of the size of their inputs. Since any further restriction on the…

Computational Complexity · Computer Science 2022-06-03 Özdeniz Dolu , Nevzat Ersoy , M. Utkan Gezer , A. C. Cem Say

Automata admitting at most one accepting run per structure, known as unambiguous automata, find applications in verification of reactive systems as they extend the class of deterministic automata whilst maintaining some of their desirable…

Formal Languages and Automata Theory · Computer Science 2026-03-03 Anton Chernev , Corina Cîrstea , Helle Hvid Hansen , Clemens Kupke

Nondeterministic automata may be viewed as succinct programs implementing deterministic automata, i.e. complete specifications. Converting a given deterministic automaton into a small nondeterministic one is known to be computationally very…

Formal Languages and Automata Theory · Computer Science 2021-07-12 Robert Samuel Ralph Myers , Henning Urbat

Selectional preference learning methods have usually focused on word-to-class relations, e.g., a verb selects as its subject a given nominal class. This papers extends previous statistical models to class-to-class preferences, and presents…

Computation and Language · Computer Science 2007-05-23 E. Agirre , D. Martinez

Morphological declension, which aims to inflect nouns to indicate number, case and gender, is an important task in natural language processing (NLP). This research proposal seeks to address the degree to which Recurrent Neural Networks…

Computation and Language · Computer Science 2018-10-10 Sina Ahmadi

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

The relationship between the complexity classes P and NP is a question that has not yet been answered by the Theory of Computation. The existence of a language in NP, proven not to belong to P, is sufficient evidence to establish the…

Computational Complexity · Computer Science 2014-07-08 Frank Vega Delgado

The class of known constraint automata for which the constrained synchronization problem is in NP all admit a special form. In this work, we take a closer look at them. We characterize a wider class of constraint automata that give…

Formal Languages and Automata Theory · Computer Science 2021-08-24 Stefan Hoffmann

We extend answer set semantics to deal with inconsistent programs (containing classical negation), by finding a ``best'' answer set. Within the context of inconsistent programs, it is natural to have a partial order on rules, representing a…

Logic in Computer Science · Computer Science 2007-05-23 Davy Van Nieuwenborgh , Dirk Vermeir

Counter automata are more powerful versions of finite-state automata where addition and subtraction operations are permitted on a set of n integer registers, called counters. We show that the word problem of $\Z^n$ is accepted by a…

Group Theory · Mathematics 2007-05-23 Sean Cleary , Murray Elder , Gretchen Ostheimer

Selectional Preference (SP) is a commonly observed language phenomenon and proved to be useful in many natural language processing tasks. To provide a better evaluation method for SP models, we introduce SP-10K, a large-scale evaluation set…

Computation and Language · Computer Science 2019-06-06 Hongming Zhang , Hantian Ding , Yangqiu Song

Let $\mathcal{P}(\Sigma^*)$ be the semiring of languages, and consider its subset $\mathcal{P}(\Sigma)$. In this paper we define the language recognized by a weighted automaton over $\mathcal{P}(\Sigma)$ and a one-letter alphabet.…

Formal Languages and Automata Theory · Computer Science 2010-07-27 Edoardo Carta-Gerardino , Parisa Babaali

The constraint satisfaction problem (CSP) involves deciding, given a set of variables and a set of constraints on the variables, whether or not there is an assignment to the variables satisfying all of the constraints. One formulation of…

Computational Complexity · Computer Science 2017-01-09 Hubie Chen , Benoit Larose