About: Many-Valued Relation Lifting and Moss’ Coalgebraic Logic

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The notion of relation lifting can be generalised to work with many-valued relations while retaining many vital properties of the “classical” relation lifting. We show that polynomial endofunctors of the category of sets and mappings admit V -relation lifting for relations taking values from a commutative quantale V . Using the technique of functor presentations, we then show that every finitary weak pullback preserving functor admits a V -relation lifting for V being a complete Heyting algebra. As an application of the many-valued lifting we inspect the notion of many-valued bisimulation and we introduce an expressive many-valued variant of Moss’ logic for T-coalgebras, parametric in the functor T. The notion of relation lifting can be generalised to work with many-valued relations while retaining many vital properties of the “classical” relation lifting. We show that polynomial endofunctors of the category of sets and mappings admit V -relation lifting for relations taking values from a commutative quantale V . Using the technique of functor presentations, we then show that every finitary weak pullback preserving functor admits a V -relation lifting for V being a complete Heyting algebra. As an application of the many-valued lifting we inspect the notion of many-valued bisimulation and we introduce an expressive many-valued variant of Moss’ logic for T-coalgebras, parametric in the functor T. (en)
Title	Many-Valued Relation Lifting and Moss’ Coalgebraic Logic Many-Valued Relation Lifting and Moss’ Coalgebraic Logic (en)
skos:prefLabel	Many-Valued Relation Lifting and Moss’ Coalgebraic Logic Many-Valued Relation Lifting and Moss’ Coalgebraic Logic (en)
skos:notation	RIV/68407700:21230/13:00206795!RIV14-MSM-21230___
http://linked.open...avai/riv/aktivita	I P S
http://linked.open...avai/riv/aktivity	I, P(GAP202/10/1826), S
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Dostál, Matěj
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta elektrotechnická
http://linked.open...dnocenehoVysledku	85971
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/13:00206795
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	coalgebra; coalgebraic logic; relation lifting; many-valued logic (en)
http://linked.open.../riv/klicoveSlovo	many-valued logic coalgebra coalgebraic logic relation lifting
http://linked.open...ontrolniKodProRIV	[AD861E7E2210]
http://linked.open...v/mistoKonaniAkce	Warszawa
http://linked.open...i/riv/mistoVydani	Berlin
http://linked.open...i/riv/nazevZdroje	Algebra and Coalgebra in Computer Science
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Matematická fuzzy logika v informatice
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Bílková, M. Dostál, Matěj
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2013-09-03 (xsd:date)
number of pages	14 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/978-3-642-40206-7_7
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-642-40205-0
http://localhost/t...ganizacniJednotka	21230

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