Implicational (Semilinear) Logics II: Additional Connectives and Characterizations of Semilinearity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F16%3A00448459" target="_blank" >RIV/67985807:_____/16:00448459 - isvavai.cz</a>

Alternative codes found

RIV/67985556:_____/16:00448459

Result on the web

<a href="http://dx.doi.org/10.1007/s00153-015-0452-9" target="_blank" >http://dx.doi.org/10.1007/s00153-015-0452-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00153-015-0452-9" target="_blank" >10.1007/s00153-015-0452-9</a>

Result language

angličtina

Original language name

Implicational (Semilinear) Logics II: Additional Connectives and Characterizations of Semilinearity

Original language description

This is the continuation of the paper (Cintula and Noguera in Arch Math Log 49(4):417–446, 2010). We continue the abstract study of non-classical logics based on the kind of generalized implication connectives they possess and we focus on semilinear logics, i.e. those that are complete with respect to the class of models where the implication defines a linear order. We obtain general characterizations of semilinearity in terms of the intersection-prime extension property, the syntactical semilinearity metarule and the class of finitely subdirectly irreducible models. Moreover, we consider extensions of the language with lattice connectives and generalized disjunctions, study their interplay with implication and obtain axiomatizations and further descriptions of semilinear logics in terms of disjunctions and the proof by cases property.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/GA13-14654S" target="_blank" >GA13-14654S: An Order-Based Approach to Non-Classical Propositional and Predicate Logics</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

Confidentiality

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

Name of the periodical

Archive for Mathematical Logic

ISSN

0933-5846

e-ISSN

—

Volume of the periodical

55

Issue of the periodical within the volume

3

Country of publishing house

DE - GERMANY

Number of pages

20

Pages from-to

353-372

UT code for WoS article

000374969600001

EID of the result in the Scopus database

2-s2.0-84945261116