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Large language models (LLMs) are remarkably efficient across a wide range of natural language processing tasks and well beyond them. However, a comprehensive theoretical analysis of the LLMs' generalization capabilities remains elusive. In…

Complex Word Identification (CWI) is an essential step in the lexical simplification task and has recently become a task on its own. Some variations of this binary classification task have emerged, such as lexical complexity prediction…

Computation and Language · Computer Science 2024-11-05 Răzvan-Alexandru Smădu , David-Gabriel Ion , Dumitru-Clementin Cercel , Florin Pop , Mihaela-Claudia Cercel

The class of Boolean combinations of tree languages recognized by deterministic top-down tree automata (also known as deterministic root-to-frontier automata) is studied. The problem of determining for a given regular tree language whether…

Formal Languages and Automata Theory · Computer Science 2024-01-15 Christof Löding , Wolfgang Thomas

Reasoning has become a central capability in large language models. Recent research has shown that reasoning performance can be improved by looping an LLM's layers in the latent dimension, resulting in looped reasoning language models.…

Large language models can exhibit emergent reasoning behaviors, often manifested as recurring lexical patterns (e.g., "wait," indicating verification). However, complex reasoning trajectories remain sparse in unconstrained sampling, and…

Artificial Intelligence · Computer Science 2026-03-03 Po-Nien Kung , Zhen Yang , Jeffrey Luo , Cheng-Fu Yang , Haikang Deng , Zi-Yi Dou , Yinfei Yang , Nanyun Peng , Zhe Gan , Kai-Wei Chang

This paper introduces time window temporal logic (TWTL), a rich expressivity language for describing various time bounded specifications. In particular, the syntax and semantics of TWTL enable the compact representation of serial tasks,…

Formal Languages and Automata Theory · Computer Science 2016-02-16 Cristian-Ioan Vasile , Derya Aksaray , Calin Belta

We present a novel algorithm that uses exact learning and abstraction to extract a deterministic finite automaton describing the state dynamics of a given trained RNN. We do this using Angluin's L* algorithm as a learner and the trained RNN…

Machine Learning · Computer Science 2020-02-28 Gail Weiss , Yoav Goldberg , Eran Yahav

We develop the first theory of control-flow graphs from first principles, and use it to create an algorithm for automatically synthesizing many variants of control-flow graph generators from a language's operational semantics. Our approach…

Programming Languages · Computer Science 2022-07-25 James Koppel , Jackson Kearl , Armando Solar-Lezama

An attractive mechanism to specify global constraints in rostering and other domains is via formal languages. For instance, the Regular and Grammar constraints specify constraints in terms of the languages accepted by an automaton and a…

Artificial Intelligence · Computer Science 2009-03-04 George Katsirelos , Nina Narodytska , Toby Walsh

Logically constrained term rewriting is a relatively new rewriting formalism that naturally supports built-in data structures, such as integers and bit vectors. In the analysis of logically constrained term rewrite systems (LCTRSs),…

Logic in Computer Science · Computer Science 2025-12-16 Kanta Takahata , Jonas Schöpf , Naoki Nishida , Takahito Aoto

In this work we use a framework of finite-state automata constructions based on equivalences over words to provide new insights on the relation between well-known methods for computing the minimal deterministic automaton of a language.

Formal Languages and Automata Theory · Computer Science 2019-06-28 Pierre Ganty , Elena Gutiérrez , Pedro Valero

Large Language Models (LLMs) are rapidly reshaping machine translation (MT), particularly by introducing instruction-following, in-context learning, and preference-based alignment into what has traditionally been a supervised…

Computation and Language · Computer Science 2026-04-29 Baban Gain , Dibyanayan Bandyopadhyay , Asif Ekbal , Trilok Nath Singh

We consider ideals and Boolean combinations of ideals. For the regular languages within these classes we give expressively complete automaton models. In addition, we consider general properties of regular ideals and their Boolean…

Formal Languages and Automata Theory · Computer Science 2015-03-19 Franz Jahn , Manfred Kufleitner , Alexander Lauser

This paper presents a study of operational and type-theoretic properties of different resolution strategies in Horn clause logic. We distinguish four different kinds of resolution: resolution by unification (SLD-resolution), resolution by…

Logic in Computer Science · Computer Science 2016-10-31 Peng Fu , Ekaterina Komendantskaya

The recent successes and spread of large neural language models (LMs) call for a thorough understanding of their computational ability. Describing their computational abilities through LMs' \emph{representational capacity} is a lively area…

Computation and Language · Computer Science 2024-06-19 Anej Svete , Franz Nowak , Anisha Mohamed Sahabdeen , Ryan Cotterell

ELAN is a powerful language and environment for specifying and prototyping deduction systems in a language based on rewrite rules controlled by strategies. Timed automata is a class of continuous real-time models of reactive systems for…

Programming Languages · Computer Science 2007-05-23 Emmanuel Beffara , Olivier Bournez , Hassen Kacem , Claude Kirchner

ELAN is a powerful language and environment for specifying and prototyping deduction systems in a language based on rewrite rules controlled by strategies. Timed automata is a class of continuous real-time models of reactive systems for…

Logic in Computer Science · Computer Science 2009-07-20 Emmanuel Beffara , Olivier Bournez , Hassen Kacem , Claude Kirchner

Many methods for the verification of complex computer systems require the existence of a tractable mathematical abstraction of the system, often in the form of an automaton. In reality, however, such a model is hard to come up with, in…

Formal Languages and Automata Theory · Computer Science 2023-08-09 Stefan Zetzsche

This work studies the question of learning probabilistic deterministic automata from language models. For this purpose, it focuses on analyzing the relations defined on algebraic structures over strings by equivalences and similarities on…

Formal Languages and Automata Theory · Computer Science 2024-12-16 Matías Carrasco , Franz Mayr , Sergio Yovine

The tree automaton completion is an algorithm used for proving safety properties of systems that can be modeled by a term rewriting system. This representation and verification technique works well for proving properties of infinite systems…

Logic in Computer Science · Computer Science 2010-03-26 Benoît Boyer , Thomas Genet