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Regular tree grammars and regular path expressions constitute core constructs widely used in programming languages and type systems. Nevertheless, there has been little research so far on reasoning frameworks for path expressions where node…

Logic in Computer Science · Computer Science 2010-06-02 Everardo Barcenas , Pierre Geneves , Nabil Layaida , Alan Schmitt

A classic result in formal language theory is the equivalence among non-counting, or aperiodic, regular languages, and languages defined through star-free regular expressions, or first-order logic. Past attempts to extend this result beyond…

Formal Languages and Automata Theory · Computer Science 2024-02-14 Dino Mandrioli , Matteo Pradella , Stefano Crespi Reghizzi

In this paper we investigate undirected discrete graphical tree models when all the variables in the system are binary, where leaves represent the observable variables and where all the inner nodes are unobserved. A novel approach based on…

Statistics Theory · Mathematics 2012-03-06 Piotr Zwiernik , Jim Q. Smith

Document-level relation extraction has attracted much attention in recent years. It is usually formulated as a classification problem that predicts relations for all entity pairs in the document. However, previous works indiscriminately…

Computation and Language · Computer Science 2021-06-04 Shuang Zeng , Yuting Wu , Baobao Chang

The unprecedented availability of large-scale datasets in neuroscience has spurred the exploration of artificial deep neural networks (DNNs) both as empirical tools and as models of natural neural systems. Their appeal lies in their ability…

Computational Engineering, Finance, and Science · Computer Science 2024-03-22 Ahmed ElGazzar , Marcel van Gerven

We present nested sequent systems for propositional G\"odel-Dummett logic and its first-order extensions with non-constant and constant domains, built atop nested calculi for intuitionistic logics. To obtain nested systems for these…

Logic in Computer Science · Computer Science 2024-06-07 Tim S. Lyon

Order-invariant formulas access an ordering on a structure's universe, but the model relation is independent of the used ordering. Order invariance is frequently used for logic-based approaches in computer science. Order-invariant formulas…

Logic in Computer Science · Computer Science 2016-06-22 Michael Elberfeld , Marlin Frickenschmidt , Martin Grohe

Models of growing networks are a central topic in network science. In these models, vertices are usually labeled by their arrival time, distinguishing even those node pairs whose structural roles are identical. In contrast, unlabeled…

Physics and Society · Physics 2025-09-23 Harrison Hartle , Brennan Klein , Dmitri Krioukov , P. L. Krapivsky

Design of large software systems requires rigorous application of software engineering methods covering all phases of the software process. Debugging during the early design phases is extremely important, because late bug-fixes are…

Software Engineering · Computer Science 2007-05-23 Johann Schumann

Large language models (LLMs) provide powerful means to leverage prior knowledge for predictive modeling when data is limited. In this work, we demonstrate how LLMs can use their compressed world knowledge to generate intrinsically…

Diffusion large language models (dLLMs) are emerging as a compelling alternative to dominant autoregressive models, replacing strictly sequential token generation with iterative denoising and parallel generation dynamics. However, their…

Computation and Language · Computer Science 2026-04-07 Jingyi Yang , Yuxian Jiang , Xuhao Hu , Shuang Cheng , Biqing Qi , Jing Shao

Large Language Models (LLMs) have been found to struggle with systematic reasoning. Even on tasks where they appear to perform well, their performance often depends on shortcuts, rather than on genuine reasoning abilities, leading them to…

Artificial Intelligence · Computer Science 2025-06-03 Irtaza Khalid , Amir Masoud Nourollah , Steven Schockaert

In this paper, we address the problem of giving names to predicates in logic rules using Large Language Models (LLMs). In the context of Inductive Logic Programming, various rule generation methods produce rules containing unnamed…

Artificial Intelligence · Computer Science 2025-10-30 Elisabetta Gentili , Tony Ribeiro , Fabrizio Riguzzi , Katsumi Inoue

We study the matching problem of regular tree languages, that is, "$\exists \sigma:\sigma(L)\subseteq R$?" where $L,R$ are regular tree languages over the union of finite ranked alphabets $\Sigma$ and $\mathcal{X}$ where $\mathcal{X}$ is an…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Carlos Camino , Volker Diekert , Besik Dundua , Mircea Marin , Géraud Sénizergues

Discrete diffusion language models (DLMs) generate text by iteratively denoising all positions in parallel, offering an alternative to autoregressive models. Controlled generation methods for DLMs, imported from autoregressive models, apply…

Machine Learning · Computer Science 2026-05-13 Hanhan Zhou , Shamik Roy , Rashmi Gangadharaiah

Regular tree grammars and regular path expressions constitute core constructs widely used in programming languages and type systems. Nevertheless, there has been little research so far on frameworks for reasoning about path expressions…

Databases · Computer Science 2010-08-31 Everardo Barcenas , Pierre Geneves , Nabil Layaida , Alan Schmitt

Patterns are words with terminals and variables. The language of a pattern is the set of words obtained by uniformly substituting all variables with words that contain only terminals. Length constraints restrict valid substitutions of…

Formal Languages and Automata Theory · Computer Science 2025-03-03 Dirk Nowotka , Max Wiedenhöft

Verification of properties of first order logic with two variables FO2 has been investigated in a number of contexts. Over arbitrary structures it is known to be decidable with NEXPTIME complexity, with finitely satisfiable formulas having…

Logic in Computer Science · Computer Science 2013-06-03 Saguy Benaim , Michael Benedikt , Rastislav Lenhardt , James Worrell

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

Recently data trees and data words have received considerable amount of attention in connection with XML reasoning and system verification. These are trees or words that, in addition to labels from a finite alphabet, carry data values from…

Logic in Computer Science · Computer Science 2015-03-17 Ahmet Kara , Tony Tan
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