The Existential Fragment of Third Order Logic and Third Order Relational Machines

Autores
Arroyuelo, Jorge; Turull Torres, José María
Año de publicación
2014
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
We introduce a new sub logic of third order logic (TO), the logic TOϖ, as a semantic restriction of TO. We focus on the existential fragment of TOϖ which we denote Σ²ϖ , and we study its relational complexity by introducing a variation of the non deterministic relational machine, which we denote 3-NRM, where we allow third order relations in the relational store of the machine.We then prove that Σ²ϖ characterizes exactly NEXPTIME3,r
V Workshop Aspectos teóricos de las Ciencias de la Computación
Red de Universidades con Carreras de Informática (RedUNCI)
Materia
Ciencias Informáticas
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/42242
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/42242
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network_name_str SEDICI (UNLP)
spelling The Existential Fragment of Third Order Logic and Third Order Relational MachinesArroyuelo, JorgeTurull Torres, José MaríaCiencias InformáticasWe introduce a new sub logic of third order logic (TO), the logic TOϖ, as a semantic restriction of TO. We focus on the existential fragment of TOϖ which we denote Σ²ϖ , and we study its relational complexity by introducing a variation of the non deterministic relational machine, which we denote 3-NRM, where we allow third order relations in the relational store of the machine.We then prove that Σ²ϖ characterizes exactly NEXPTIME3,rV Workshop Aspectos teóricos de las Ciencias de la ComputaciónRed de Universidades con Carreras de Informática (RedUNCI)2014-10info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionObjeto de conferenciahttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/42242enginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/2.5/ar/Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:01:19Zoai:sedici.unlp.edu.ar:10915/42242Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:01:19.417SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv The Existential Fragment of Third Order Logic and Third Order Relational Machines
title The Existential Fragment of Third Order Logic and Third Order Relational Machines
spellingShingle The Existential Fragment of Third Order Logic and Third Order Relational Machines
Arroyuelo, Jorge
Ciencias Informáticas
title_short The Existential Fragment of Third Order Logic and Third Order Relational Machines
title_full The Existential Fragment of Third Order Logic and Third Order Relational Machines
title_fullStr The Existential Fragment of Third Order Logic and Third Order Relational Machines
title_full_unstemmed The Existential Fragment of Third Order Logic and Third Order Relational Machines
title_sort The Existential Fragment of Third Order Logic and Third Order Relational Machines
dc.creator.none.fl_str_mv Arroyuelo, Jorge
Turull Torres, José María
author Arroyuelo, Jorge
author_facet Arroyuelo, Jorge
Turull Torres, José María
author_role author
author2 Turull Torres, José María
author2_role author
dc.subject.none.fl_str_mv Ciencias Informáticas
topic Ciencias Informáticas
dc.description.none.fl_txt_mv We introduce a new sub logic of third order logic (TO), the logic TOϖ, as a semantic restriction of TO. We focus on the existential fragment of TOϖ which we denote Σ²ϖ , and we study its relational complexity by introducing a variation of the non deterministic relational machine, which we denote 3-NRM, where we allow third order relations in the relational store of the machine.We then prove that Σ²ϖ characterizes exactly NEXPTIME3,r
V Workshop Aspectos teóricos de las Ciencias de la Computación
Red de Universidades con Carreras de Informática (RedUNCI)
description We introduce a new sub logic of third order logic (TO), the logic TOϖ, as a semantic restriction of TO. We focus on the existential fragment of TOϖ which we denote Σ²ϖ , and we study its relational complexity by introducing a variation of the non deterministic relational machine, which we denote 3-NRM, where we allow third order relations in the relational store of the machine.We then prove that Σ²ϖ characterizes exactly NEXPTIME3,r
publishDate 2014
dc.date.none.fl_str_mv 2014-10
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
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http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/42242
url http://sedici.unlp.edu.ar/handle/10915/42242
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Argentina (CC BY-NC-SA 2.5)
dc.format.none.fl_str_mv application/pdf
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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