Structural Completeness and Superintuitionistic Inquisitive Logics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985955%3A_____%2F23%3A00575743" target="_blank" >RIV/67985955:_____/23:00575743 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/978-3-031-39784-4_12" target="_blank" >https://doi.org/10.1007/978-3-031-39784-4_12</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-031-39784-4_12" target="_blank" >10.1007/978-3-031-39784-4_12</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Structural Completeness and Superintuitionistic Inquisitive Logics

Popis výsledku v původním jazyce

In this paper, the notion of structural completeness is explored in the context of a generalized class of superintuitionistic logics involving also systems that are not closed under uniform substitution. We just require that each logic must be closed under D-substitutions assigning to atomic formulas only disjunction-free formulas. For these systems we introduce four different notions of structural completeness and study how they are related. We focus on superintuitionistic inquisitive logics that validate a schema called Split and have the disjunction property. In these logics disjunction can be interpreted in the sense of inquisitive semantics as a question forming operator. It is shown that a logic is structurally complete with respect to D-substitutions if and only if it includes the weakest superintuitionistic inquisitive logic. Various consequences of this result are explored. For example, it is shown that every superintuitionistic inquisitive logic can be characterized by a Kripke model built up from D-substitutions. Additionally, we resolve a conjecture concerning superintuitionistic inquisitive logics due to Miglioli et al..

Název v anglickém jazyce

Structural Completeness and Superintuitionistic Inquisitive Logics

Popis výsledku anglicky

In this paper, the notion of structural completeness is explored in the context of a generalized class of superintuitionistic logics involving also systems that are not closed under uniform substitution. We just require that each logic must be closed under D-substitutions assigning to atomic formulas only disjunction-free formulas. For these systems we introduce four different notions of structural completeness and study how they are related. We focus on superintuitionistic inquisitive logics that validate a schema called Split and have the disjunction property. In these logics disjunction can be interpreted in the sense of inquisitive semantics as a question forming operator. It is shown that a logic is structurally complete with respect to D-substitutions if and only if it includes the weakest superintuitionistic inquisitive logic. Various consequences of this result are explored. For example, it is shown that every superintuitionistic inquisitive logic can be characterized by a Kripke model built up from D-substitutions. Additionally, we resolve a conjecture concerning superintuitionistic inquisitive logics due to Miglioli et al..

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

60301 - Philosophy, History and Philosophy of science and technology

Projekt

<a href="/cs/project/GM21-23610M" target="_blank" >GM21-23610M: Logická struktura informačních kanálů</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Logic, Language, Information, and Computation

ISBN

978-3-031-39783-7

ISSN

—

e-ISSN

—

Počet stran výsledku

17

Strana od-do

194-210

Název nakladatele

Springer

Místo vydání

Cham

Místo konání akce

Halifax

Datum konání akce

11. 7. 2023

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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