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  • A variant of Lukasiewicz logic defined in a remark in White's 1979 paper on the consistency of the axiom of comprehension in the infinite-valued predicate logic of Lukasiewicz is studied; it is shown that the logic in question is an interesting expansion of Lukasiewicz logic which deserves further investigation together with its further expansions. Several formulas are proved in it and some model theory is offered. In the Appendix A, it is shown that a set theory with full comprehension over this logic (claimed consistent by White) is contradictory.
  • A variant of Lukasiewicz logic defined in a remark in White's 1979 paper on the consistency of the axiom of comprehension in the infinite-valued predicate logic of Lukasiewicz is studied; it is shown that the logic in question is an interesting expansion of Lukasiewicz logic which deserves further investigation together with its further expansions. Several formulas are proved in it and some model theory is offered. In the Appendix A, it is shown that a set theory with full comprehension over this logic (claimed consistent by White) is contradictory. (en)
Title
  • On White’s Expansion of Lukasiewicz Logic
  • On White’s Expansion of Lukasiewicz Logic (en)
skos:prefLabel
  • On White’s Expansion of Lukasiewicz Logic
  • On White’s Expansion of Lukasiewicz Logic (en)
skos:notation
  • RIV/67985807:_____/10:00345010!RIV11-GA0-67985807
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GEICC/08/E018), Z(AV0Z10300504)
http://linked.open...iv/cisloPeriodika
  • 2
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
  • 276957
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/10:00345010
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Lukasiewicz fuzzy logic; Cantor-Lukasiewicz set theory; full comprehension (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [40AAE402EFAB]
http://linked.open...i/riv/nazevZdroje
  • Journal of Logic and Computation
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
  • 20
http://linked.open...iv/tvurceVysledku
  • Hájek, Petr
http://linked.open...ain/vavai/riv/wos
  • 000276843800001
http://linked.open...n/vavai/riv/zamer
issn
  • 0955-792X
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