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In this paper, we consider the problem of translating LTL formulas to Buechi automata. We first translate the given LTL formula into a special disjuctive-normal form (DNF). The formula will be part of the state, and its DNF normal form…

Formal Languages and Automata Theory · Computer Science 2012-07-18 Jianwen Li , Geguang Pu , Lijun Zhang , Zheng Wang , Jifeng He , Kim G. Larsen

Reactive synthesis is a key technique for the design of correct-by-construction systems and has been thoroughly investigated in the last decades. It consists in the synthesis of a controller that reacts to environment's inputs satisfying a…

Formal Languages and Automata Theory · Computer Science 2020-08-13 Alessandro Cimatti , Luca Geatti , Nicola Gigante , Angelo Montanari , Stefano Tonetta

$\omega$-regular languages are a natural extension of the regular languages to the setting of infinite words. Likewise, they are recognised by a host of automata models, one of the most important being Alternating Parity Automata (APAs), a…

Logic in Computer Science · Computer Science 2025-05-15 Anupam Das , Abhishek De

Reactive synthesis is the process of generating correct controllers from temporal logic specifications. Classical LTL reactive synthesis handles (propositional) LTL as a specification language. Boolean abstractions allow reducing LTLt…

Logic in Computer Science · Computer Science 2024-07-15 Andoni Rodríguez , Felipe Gorostiaga , César Sánchez

Recurrent neural networks are a widely used class of neural architectures. They have, however, two shortcomings. First, they are often treated as black-box models and as such it is difficult to understand what exactly they learn as well as…

Machine Learning · Computer Science 2022-12-13 Cheng Wang , Carolin Lawrence , Mathias Niepert

We present a unified translation of LTL formulas into deterministic Rabin automata, limit-deterministic B\"uchi automata, and nondeterministic B\"uchi automata. The translations yield automata of asymptotically optimal size (double or…

Logic in Computer Science · Computer Science 2018-05-03 Javier Esparza , Jan Kretinsky , Salomon Sickert

The determinization of a nondeterministic B\"uchi automaton (NBA) is a fundamental construction of automata theory, with applications to probabilistic verification and reactive synthesis. The standard determinization constructions, such as…

Formal Languages and Automata Theory · Computer Science 2022-06-29 Yong Li , Andrea Turrini , Weizhi Feng , Moshe Y. Vardi , Lijun Zhang

Reachability analysis for hybrid systems is an active area of development and has resulted in many promising prototype tools. Most of these tools allow users to express hybrid system as automata with a set of ordinary differential equations…

Programming Languages · Computer Science 2017-04-12 Yingfu Zeng , Ferenc Bartha , Walid Taha

In the last years, various extensions of {\omega}-regular languages have been proposed in the literature, including {\omega}B-regular ({\omega}-regular languages extended with boundedness), {\omega}S-regular ({\omega}-regular languages…

Logic in Computer Science · Computer Science 2017-09-08 Dario Della Monica , Angelo Montanari , Pietro Sala

In this paper, we propose a symbolic control synthesis method for nonlinear sampled switched systems whose vector fields are one-sided Lipschitz. The main idea is to use an approximate model obtained from the forward Euler method to build a…

Systems and Control · Computer Science 2017-04-12 Adrien Le Coënt , Florian De Vuyst , Ludovic Chamoin , Laurent Fribourg

This paper proposes a language for describing reactive synthesis problems that integrates imperative and declarative elements. The semantics is defined in terms of two-player turn-based infinite games with full information. Currently,…

Logic in Computer Science · Computer Science 2016-02-04 Ioannis Filippidis , Richard M. Murray , Gerard J. Holzmann

We present counting reward automata-a finite state machine variant capable of modelling any reward function expressible as a formal language. Unlike previous approaches, which are limited to the expression of tasks as regular languages, our…

Artificial Intelligence · Computer Science 2024-02-20 Tristan Bester , Benjamin Rosman , Steven James , Geraud Nangue Tasse

Despite the remarkable quality of LLM-based text-to-speech systems, their reliance on autoregressive Transformers leads to quadratic computational complexity, which severely limits practical applications. Linear-time alternatives, notably…

Audio and Speech Processing · Electrical Eng. & Systems 2026-03-16 Tan Dat Nguyen , Sangmin Bae , Joon Son Chung , Ji-Hoon Kim

This paper studies the synthesis of controllers for discrete-time, continuous state stochastic systems subject to omega-regular specifications using finite-state abstractions. We present a synthesis algorithm for minimizing or maximizing…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Maxence Dutreix , Jeongmin Huh , Samuel Coogan

We consider an extension of logic programs, called \omega-programs, that can be used to define predicates over infinite lists. \omega-programs allow us to specify properties of the infinite behavior of reactive systems and, in general,…

Programming Languages · Computer Science 2010-07-26 Alberto Pettorossi , Maurizio Proietti , Valerio Senni

This paper introduces a general approach for synthesizing procedural models of the state-transitions of a given discrete system. The approach is general in that it accepts different target languages for modeling the state-transitions of a…

Formal Languages and Automata Theory · Computer Science 2023-07-28 Javier Segovia-Aguas , Jonathan Ferrer-Mestres , Sergio Jiménez

We propose a Text-to-Speech method to create an unseen expressive style using one utterance of expressive speech of around one second. Specifically, we enhance the disentanglement capabilities of a state-of-the-art sequence-to-sequence…

Machine Learning · Computer Science 2020-02-18 Vatsal Aggarwal , Marius Cotescu , Nishant Prateek , Jaime Lorenzo-Trueba , Roberto Barra-Chicote

Recently, the problem of obtaining a short regular expression equivalent to a given finite automaton has been intensively investigated. Algorithms for converting finite automata to regular expressions have an exponential blow-up in the…

Formal Languages and Automata Theory · Computer Science 2010-08-11 Nelma Moreira , Davide Nabais , Rogério Reis

One approach for multilingual data-to-text generation is to translate grammatical configurations upfront from the source language into each target language. These configurations are then used by a surface realizer and in document planning…

Computation and Language · Computer Science 2025-01-28 Andreas Madsack , Johanna Heininger , Adela Schneider , Ching-Yi Chen , Christian Eckard , Robert Weißgraeber

Regular languages are closed under a wealth of formal language operators. Incorporating such operators in regular expressions leads to concise language specifications, but the transformation of such enhanced regular expressions to finite…

Formal Languages and Automata Theory · Computer Science 2016-05-04 Peter Thiemann