Transducers, logic and algebra for functions of finite words

Author:

Filiot Emmanuel1,Reynier Pierre-Alain2

Affiliation:

1. Université Libre de Bruxelles

2. Aix-Marseille Université

Abstract

The robust theory of regular languages is based on three important pillars: computation (automata), logic, and algebra. In this paper, we survey old and recent results on extensions of these pillars to functions from words to words. We consider two important classes of word functions, the rational and regular functions, respectively defined by one-way and two-way automata with output words, called transducers.

Publisher

Association for Computing Machinery (ACM)

Cited by 17 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bengali reduplication generation with finite-state transducers (FSTs);International Journal of Speech Technology;2024-08-05

2. Polyregular Functions Characterisations and Refutations;Lecture Notes in Computer Science;2024

3. Regular and polyregular theories of reduplication;Glossa: a journal of general linguistics;2023-01-06

4. A Self- Reliant finite Automata for Reduplication Detection;2022 International Conference on Asian Language Processing (IALP);2022-10-27

5. Less is more: reexamining assumptions through the narrow focus of subregularity;Theoretical Linguistics;2022-10-01

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