From positive PDL to its non-classical extensions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F19%3A00505123" target="_blank" >RIV/67985807:_____/19:00505123 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1093/jigpal/jzz017" target="_blank" >http://dx.doi.org/10.1093/jigpal/jzz017</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/jigpal/jzz017" target="_blank" >10.1093/jigpal/jzz017</a>

Result language
angličtina
Original language name
From positive PDL to its non-classical extensions
Original language description
We provide a complete binary implicational axiomatization of the positive fragment of propositional dynamic logic (PDL). The intended application of this result are completeness proofs for non-classical extensions of positive PDL. Two examples are discussed in this article, namely, a paraconsistent extension with modal De Morgan negation and a substructural extension with the residuated operators of the non-associative Lambek calculus. Informal interpretations of these two extensions are outlined.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GJ18-19162Y" target="_blank" >GJ18-19162Y: Non-classical logical models of information dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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