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We establish a connection between finite fields and finite dynamical systems. We show how this connection can be used to shed light on some problems in finite dynamical systems and in particular, in linear systems.

Dynamical Systems · Mathematics 2007-05-23 Oscar Moreno , Dorothy Bollman , Maria A. Avino-Diaz

Machine Translation models are trained to translate a variety of documents from one language into another. However, models specifically trained for a particular characteristics of the documents tend to perform better. Fine-tuning is a…

Computation and Language · Computer Science 2019-10-09 Alberto Poncelas , Gideon Maillette de Buy Wenniger , Andy Way

Reversibility is a key issue in the interface between computation and physics, and of growing importance as miniaturization progresses towards its physical limits. Most foundational work on reversible computing to date has focussed on…

Logic in Computer Science · Computer Science 2011-12-01 Samson Abramsky

This paper addresses issues in part of speech disambiguation using finite-state transducers and presents two main contributions to the field. One of them is the use of finite-state machines for part of speech tagging. Linguistic and…

cmp-lg · Computer Science 2007-05-23 Evelyne Tzoukermann , Dragomir R. Radev

We lift metrics over words to metrics over word-to-word transductions, by defining the distance between two transductions as the supremum of the distances of their respective outputs over all inputs. This allows to compare transducers…

Formal Languages and Automata Theory · Computer Science 2024-04-26 C. Aiswarya , Amaldev Manuel , Saina Sunny

As a contribution to the challenge of building game-playing AI systems, we develop and analyse a formal language for representing and reasoning about strategies. Our logical language builds on the existing general Game Description Language…

Artificial Intelligence · Computer Science 2014-07-22 Dongmo Zhang , Michael Thielsher

Infinite-state games provide a framework for the synthesis of reactive systems with unbounded data domains. Solving such games typically relies on computing symbolic fixpoints, particularly symbolic attractors. However, these computations…

Logic in Computer Science · Computer Science 2026-01-21 Philippe Heim , Rayna Dimitrova

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Logic in Computer Science · Computer Science 2019-03-14 David Monniaux

This work introduces efficient symbolic algorithms for quantitative reactive synthesis. We consider resource-constrained robotic manipulators that need to interact with a human to achieve a complex task expressed in linear temporal logic.…

Robotics · Computer Science 2023-08-09 Karan Muvvala , Morteza Lahijanian

The ability to think abstractly and reason by analogy is a prerequisite to rapidly adapt to new conditions, tackle newly encountered problems by decomposing them, and synthesize knowledge to solve problems comprehensively. We present…

Artificial Intelligence · Computer Science 2024-10-08 Jakub Bednarek , Krzysztof Krawiec

Hybrid automata are a natural framework for modeling and analyzing systems which exhibit a mixed discrete continuous behaviour. However, the standard operational semantics defined over such models implicitly assume perfect knowledge of the…

Systems and Control · Computer Science 2013-08-27 Alberto Casagrande , Tommaso Dreossi , Carla Piazza

In this work, we propose an abstraction and refinement methodology for the controller synthesis of discrete-time stochastic systems to enforce complex logical properties expressed by deterministic finite automata (a.k.a. DFA). Our proposed…

Systems and Control · Electrical Eng. & Systems 2022-11-15 Bingzhuo Zhong , Abolfazl Lavaei , Majid Zamani , Marco Caccamo

Solving algebraic word problems requires executing a series of arithmetic operations---a program---to obtain a final answer. However, since programs can be arbitrarily complicated, inducing them directly from question-answer pairs is a…

Artificial Intelligence · Computer Science 2017-10-24 Wang Ling , Dani Yogatama , Chris Dyer , Phil Blunsom

The transducer synthesis problem on finite words asks, given a specification $S \subseteq I \times O$, where $I$ and $O$ are sets of finite words, whether there exists an implementation $f: I \rightarrow O$ which (1) fulfils the…

Formal Languages and Automata Theory · Computer Science 2019-05-10 Léo Exibard , Emmanuel Filiot , Ismaël Jecker

Recent advancements in large pre-trained transformer models (GPT2/3, T5) have found use in program synthesis to generate programs that satisfy a set of input/output examples. However, these models perform poorly on long-horizon and low-data…

Programming Languages · Computer Science 2022-05-20 Jack Roper

Transducers extend finite state automata with outputs, and describe transformations from strings to strings. Sequential transducers, which have a deterministic behaviour regarding their input, are of particular interest. However, unlike…

Logic in Computer Science · Computer Science 2019-03-01 Pierre-Alain Reynier , Didier Villevalois

Engelfriet and Vereijken have shown that linear graph grammars based on hyperedge replacement generate graph languages that can be considered as interpretations of regular string languages over typed symbols. In this paper we show that…

Formal Languages and Automata Theory · Computer Science 2025-03-27 Frank Drewes , Berthold Hoffmann , Mark Minas

This paper describes the conversion of a Hidden Markov Model into a sequential transducer that closely approximates the behavior of the stochastic model. This transformation is especially advantageous for part-of-speech tagging because the…

cmp-lg · Computer Science 2008-02-03 Andre Kempe

Recent work has shown that we can dramatically improve the performance of computer games and simulations through declarative processing: Character AI can be written in an imperative scripting language which is then compiled to relational…

Databases · Computer Science 2009-09-15 Benjamin Sowell , Alan Demers , Johannes Gehrke , Nitin Gupta , Haoyuan Li , Walker White

Database system is an indispensable part of software projects. It plays an important role in data organization and storage. Its performance and efficiency are directly related to the performance of software. Nowadays, we have many general…

Databases · Computer Science 2020-08-12 WanHong Huang
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