Decoding Complexity: A Mathematical Framework for Enhanced Translation Comprehension

Machine translation tools have demonstrated substantial progress in enhancing translation accuracy since the emergence of artificial intelligence. However, challenges persist in reasoning (or the lack thereof), considering contexts, addressing specific word games, and interpreting very long or very...

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Main Authors: Eric Poirier, Ansta Nasandratra Nirina Avo
Format: Article
Language:English
Published: LibraryPress@UF 2024-05-01
Series:Proceedings of the International Florida Artificial Intelligence Research Society Conference
Online Access:https://journals.flvc.org/FLAIRS/article/view/135596
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author Eric Poirier
Ansta Nasandratra Nirina Avo
author_facet Eric Poirier
Ansta Nasandratra Nirina Avo
author_sort Eric Poirier
collection DOAJ
description Machine translation tools have demonstrated substantial progress in enhancing translation accuracy since the emergence of artificial intelligence. However, challenges persist in reasoning (or the lack thereof), considering contexts, addressing specific word games, and interpreting very long or very short sentences—those exceeding 50 and falling below 7 words (Bowker, 2023 : 893). Additionally, accurately translating technical or specialized terms and their variations remains a hurdle. This research introduces a categorical mathematical formalization of the comprehension stages in translation, along with a model for calculating acceptances (specific meanings of words) during the verification of meaning hypotheses. The goal is to elucidate the comprehension process and integrate contextual considerations. The formalism delineates a series of fundamental cognitive operations involved in comprehension. Furthermore, it advocates for evaluating meaning hypotheses using logical modalities, particularly hypostases, described as phrases (groups of words)—a unit of discourse rather than language—signifying the structure of arguments conveying the speaker's knowledge. The strength of our proposed mathematical model lies in its independence from both source and target languages, as well as the subjectivity of text authors or translators. Additionally, the assessment of meaning hypotheses relies on verifiable logical modalities, ensuring a reliable, explicable, and controllable outcome.
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spelling doaj-art-20c61d5fa2e04eeea9b7cda77d8574742025-08-20T03:07:45ZengLibraryPress@UFProceedings of the International Florida Artificial Intelligence Research Society Conference2334-07542334-07622024-05-013710.32473/flairs.37.1.13559671975Decoding Complexity: A Mathematical Framework for Enhanced Translation ComprehensionEric Poirier0Ansta Nasandratra Nirina Avo1Université du Québec à Trois-RivièresUniversité du Québec à Trois-RivièresMachine translation tools have demonstrated substantial progress in enhancing translation accuracy since the emergence of artificial intelligence. However, challenges persist in reasoning (or the lack thereof), considering contexts, addressing specific word games, and interpreting very long or very short sentences—those exceeding 50 and falling below 7 words (Bowker, 2023 : 893). Additionally, accurately translating technical or specialized terms and their variations remains a hurdle. This research introduces a categorical mathematical formalization of the comprehension stages in translation, along with a model for calculating acceptances (specific meanings of words) during the verification of meaning hypotheses. The goal is to elucidate the comprehension process and integrate contextual considerations. The formalism delineates a series of fundamental cognitive operations involved in comprehension. Furthermore, it advocates for evaluating meaning hypotheses using logical modalities, particularly hypostases, described as phrases (groups of words)—a unit of discourse rather than language—signifying the structure of arguments conveying the speaker's knowledge. The strength of our proposed mathematical model lies in its independence from both source and target languages, as well as the subjectivity of text authors or translators. Additionally, the assessment of meaning hypotheses relies on verifiable logical modalities, ensuring a reliable, explicable, and controllable outcome.https://journals.flvc.org/FLAIRS/article/view/135596
spellingShingle Eric Poirier
Ansta Nasandratra Nirina Avo
Decoding Complexity: A Mathematical Framework for Enhanced Translation Comprehension
Proceedings of the International Florida Artificial Intelligence Research Society Conference
title Decoding Complexity: A Mathematical Framework for Enhanced Translation Comprehension
title_full Decoding Complexity: A Mathematical Framework for Enhanced Translation Comprehension
title_fullStr Decoding Complexity: A Mathematical Framework for Enhanced Translation Comprehension
title_full_unstemmed Decoding Complexity: A Mathematical Framework for Enhanced Translation Comprehension
title_short Decoding Complexity: A Mathematical Framework for Enhanced Translation Comprehension
title_sort decoding complexity a mathematical framework for enhanced translation comprehension
url https://journals.flvc.org/FLAIRS/article/view/135596
work_keys_str_mv AT ericpoirier decodingcomplexityamathematicalframeworkforenhancedtranslationcomprehension
AT anstanasandratranirinaavo decodingcomplexityamathematicalframeworkforenhancedtranslationcomprehension