A formal approach for understanding the behavior of constrained language models

Iturbide, Martín - Yovine, Sergio - Carrasco, Matías

Resumen:

We study language models under explicit formal constraints by treating common operations, such as prompting, masking, temperature scaling, and vocabulary translation, as composable transformations, in particular those that preserve the set of generable sequences and/or its probability distribution. We focus on constraints that disable tokens, potentially leading to dead-ends during generation. Moreover, we formalize bounded-length and safe decoding procedures. The theoretical results enable the algorithmic approximation of the probability of subsets (properties) of the generable language, as well as active learning of automata representations, such as DFA o Moore machines. We evaluate the approach to analyze the behavior of several state-of-the-art large language models.

Detalles Bibliográficos
2026
Agencia Nacional de Investigación e Innovación
Artificial Intelligence
Language Models
Constrained Decoding
Formal Languages
Ciencias Naturales y Exactas
Ciencias de la Computación e Información
Inglés
Agencia Nacional de Investigación e Innovación
REDI
https://hdl.handle.net/20.500.12381/5635
Acceso abierto
Reconocimiento 4.0 Internacional. (CC BY)
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author Iturbide, Martín
author2 Yovine, Sergio
Carrasco, Matías
author2_role author
author
author_facet Iturbide, Martín
Yovine, Sergio
Carrasco, Matías
author_role author
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bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
bitstream.url.fl_str_mv https://redi.anii.org.uy/jspui/bitstream/20.500.12381/5635/2/license.txt
https://redi.anii.org.uy/jspui/bitstream/20.500.12381/5635/1/ICGI_2026__bis___arXiv_.pdf
collection REDI
dc.creator.none.fl_str_mv Iturbide, Martín
Yovine, Sergio
Carrasco, Matías
dc.date.accessioned.none.fl_str_mv 2026-08-17T18:35:39Z
dc.date.available.none.fl_str_mv 2026-08-17T18:35:39Z
dc.date.issued.none.fl_str_mv 2026-08
dc.description.abstract.none.fl_txt_mv We study language models under explicit formal constraints by treating common operations, such as prompting, masking, temperature scaling, and vocabulary translation, as composable transformations, in particular those that preserve the set of generable sequences and/or its probability distribution. We focus on constraints that disable tokens, potentially leading to dead-ends during generation. Moreover, we formalize bounded-length and safe decoding procedures. The theoretical results enable the algorithmic approximation of the probability of subsets (properties) of the generable language, as well as active learning of automata representations, such as DFA o Moore machines. We evaluate the approach to analyze the behavior of several state-of-the-art large language models.
dc.description.sponsorship.none.fl_txt_mv Agencia Nacional de Investigación e Innovación
dc.identifier.anii.es.fl_str_mv FMV_1_2023_1_175864
POS_FMV_2023_1_1012218
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12381/5635
dc.language.iso.none.fl_str_mv eng
dc.relation.none.fl_str_mv https://hdl.handle.net/20.500.12381/3417
https://hdl.handle.net/20.500.12381/3418
https://hdl.handle.net/20.500.12381/3419
https://hdl.handle.net/20.500.12381/3420
https://hdl.handle.net/20.500.12381/3622
https://hdl.handle.net/20.500.12381/3624
https://hdl.handle.net/20.500.12381/3626
https://hdl.handle.net/20.500.12381/3656
https://hdl.handle.net/20.500.12381/5138
https://doi.org/10.60895/redata/Z8QDEZ
https://doi.org/10.60895/redata/NDHQQQ
https://doi.org/10.60895/redata/KNERSJ
https://doi.org/10.60895/redata/JY5DUS
https://hdl.handle.net/20.500.12381/5632
https://hdl.handle.net/20.500.12381/5633
dc.rights.*.fl_str_mv Acceso abierto
dc.rights.license.none.fl_str_mv Reconocimiento 4.0 Internacional. (CC BY)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:REDI
instname:Agencia Nacional de Investigación e Innovación
instacron:Agencia Nacional de Investigación e Innovación
dc.subject.anii.none.fl_str_mv Ciencias Naturales y Exactas
Ciencias de la Computación e Información
dc.subject.es.fl_str_mv Artificial Intelligence
Language Models
Constrained Decoding
Formal Languages
dc.title.none.fl_str_mv A formal approach for understanding the behavior of constrained language models
dc.type.es.fl_str_mv Preprint
dc.type.none.fl_str_mv info:eu-repo/semantics/preprint
description We study language models under explicit formal constraints by treating common operations, such as prompting, masking, temperature scaling, and vocabulary translation, as composable transformations, in particular those that preserve the set of generable sequences and/or its probability distribution. We focus on constraints that disable tokens, potentially leading to dead-ends during generation. Moreover, we formalize bounded-length and safe decoding procedures. The theoretical results enable the algorithmic approximation of the probability of subsets (properties) of the generable language, as well as active learning of automata representations, such as DFA o Moore machines. We evaluate the approach to analyze the behavior of several state-of-the-art large language models.
eu_rights_str_mv openAccess
format preprint
id REDI_bff03944a12f7528b278bff7ac45f7c4
identifier_str_mv FMV_1_2023_1_175864
POS_FMV_2023_1_1012218
instacron_str Agencia Nacional de Investigación e Innovación
institution Agencia Nacional de Investigación e Innovación
instname_str Agencia Nacional de Investigación e Innovación
language eng
network_acronym_str REDI
network_name_str REDI
oai_identifier_str oai:redi.anii.org.uy:20.500.12381/5635
publishDate 2026
reponame_str REDI
repository.mail.fl_str_mv jmaldini@anii.org.uy
repository.name.fl_str_mv REDI - Agencia Nacional de Investigación e Innovación
repository_id_str 9421
rights_invalid_str_mv Reconocimiento 4.0 Internacional. (CC BY)
Acceso abierto
spelling Reconocimiento 4.0 Internacional. (CC BY)Acceso abiertoinfo:eu-repo/semantics/openAccess2026-08-17T18:35:39Z2026-08-17T18:35:39Z2026-08https://hdl.handle.net/20.500.12381/5635FMV_1_2023_1_175864POS_FMV_2023_1_1012218We study language models under explicit formal constraints by treating common operations, such as prompting, masking, temperature scaling, and vocabulary translation, as composable transformations, in particular those that preserve the set of generable sequences and/or its probability distribution. We focus on constraints that disable tokens, potentially leading to dead-ends during generation. Moreover, we formalize bounded-length and safe decoding procedures. The theoretical results enable the algorithmic approximation of the probability of subsets (properties) of the generable language, as well as active learning of automata representations, such as DFA o Moore machines. We evaluate the approach to analyze the behavior of several state-of-the-art large language models.Agencia Nacional de Investigación e Innovaciónenghttps://hdl.handle.net/20.500.12381/3417https://hdl.handle.net/20.500.12381/3418https://hdl.handle.net/20.500.12381/3419https://hdl.handle.net/20.500.12381/3420https://hdl.handle.net/20.500.12381/3622https://hdl.handle.net/20.500.12381/3624https://hdl.handle.net/20.500.12381/3626https://hdl.handle.net/20.500.12381/3656https://hdl.handle.net/20.500.12381/5138https://doi.org/10.60895/redata/Z8QDEZhttps://doi.org/10.60895/redata/NDHQQQhttps://doi.org/10.60895/redata/KNERSJhttps://doi.org/10.60895/redata/JY5DUShttps://hdl.handle.net/20.500.12381/5632https://hdl.handle.net/20.500.12381/5633Artificial IntelligenceLanguage ModelsConstrained DecodingFormal LanguagesCiencias Naturales y ExactasCiencias de la Computación e InformaciónA formal approach for understanding the behavior of constrained language modelsPreprintinfo:eu-repo/semantics/preprintUniversidad ORT Uruguay//Ciencias Naturales y Exactas/Ciencias de la Computación e Informaciónreponame:REDIinstname:Agencia Nacional de Investigación e Innovacióninstacron:Agencia Nacional de Investigación e InnovaciónIturbide, MartínYovine, SergioCarrasco, MatíasLICENSElicense.txtlicense.txttext/plain; charset=utf-84967https://redi.anii.org.uy/jspui/bitstream/20.500.12381/5635/2/license.txta4ce09f01b5dd771727aa05c73851623MD52ORIGINALICGI_2026__bis___arXiv_.pdfICGI_2026__bis___arXiv_.pdfapplication/pdf497181https://redi.anii.org.uy/jspui/bitstream/20.500.12381/5635/1/ICGI_2026__bis___arXiv_.pdf27b755c8281e38b04e3da3389076b036MD5120.500.12381/56352026-08-17 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Institucionalhttps://redi.anii.org.uy/Gobiernohttps://www.anii.org.uy/https://redi.anii.org.uy/oai/requestjmaldini@anii.org.uyUruguayopendoar:94212026-08-17T18:35:40REDI - Agencia Nacional de Investigación e Innovaciónfalse
spellingShingle A formal approach for understanding the behavior of constrained language models
Iturbide, Martín
Artificial Intelligence
Language Models
Constrained Decoding
Formal Languages
Ciencias Naturales y Exactas
Ciencias de la Computación e Información
title A formal approach for understanding the behavior of constrained language models
title_full A formal approach for understanding the behavior of constrained language models
title_fullStr A formal approach for understanding the behavior of constrained language models
title_full_unstemmed A formal approach for understanding the behavior of constrained language models
title_short A formal approach for understanding the behavior of constrained language models
title_sort A formal approach for understanding the behavior of constrained language models
topic Artificial Intelligence
Language Models
Constrained Decoding
Formal Languages
Ciencias Naturales y Exactas
Ciencias de la Computación e Información
url https://hdl.handle.net/20.500.12381/5635