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  • PiMTL is a schematic extension of the monoidal t-norm based logic (MTL) by the characteristic axioms of product logic. In this paper we prove that PiMTL satisfies the standard completeness theorem. From the algebraic point of view, we show that the class of PiMTL-algebras (bounded commutative cancellative residuated l-monoids) in the real unit interval [0,1] generates the variety of all PiMTL-algebras.
  • PiMTL is a schematic extension of the monoidal t-norm based logic (MTL) by the characteristic axioms of product logic. In this paper we prove that PiMTL satisfies the standard completeness theorem. From the algebraic point of view, we show that the class of PiMTL-algebras (bounded commutative cancellative residuated l-monoids) in the real unit interval [0,1] generates the variety of all PiMTL-algebras. (en)
  • PiMTL je schematické rozšíření Monoidal T-norm Based Logic (MTL) o axiomy charakteristické produktové logice. V tomto článku ukazujeme, že PiMTL splňuje větu o standardní úplnosti. Z algebraického hlediska to znamená, že třída standardních PiMTL-algeber generuje varietu všech PiMTL-algeber. (cs)
Title
  • Standard Completeness Theorem for -MTL
  • Standard Completeness Theorem for -MTL (en)
  • Věta o standardní úplnosti logiky PiMTL (cs)
skos:prefLabel
  • Standard Completeness Theorem for -MTL
  • Standard Completeness Theorem for -MTL (en)
  • Věta o standardní úplnosti logiky PiMTL (cs)
skos:notation
  • RIV/68407700:21230/05:03109547!RIV06-GA0-21230___
http://linked.open.../vavai/riv/strany
  • 413 ; 424
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/02/1540)
http://linked.open...iv/cisloPeriodika
  • 44
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 544255
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/05:03109547
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • MTL logic; cancellative left-continuous t-norm; fuzzy logic; left-continuous t-norm; many-valued logic; product logic (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [D3E80E3BA5F4]
http://linked.open...i/riv/nazevZdroje
  • Archive for Mathematical Logic
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2005
http://linked.open...iv/tvurceVysledku
  • Horčík, Rostislav
issn
  • 0933-5846
number of pages
http://localhost/t...ganizacniJednotka
  • 21230
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