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Description
| - Je dobře známo, že Hájkova Basic Fuzzy Logic (BL), Lukasiewiczova logika a produktová logika nejsou silně standardně úplné. Na druhou stranu monoidální t-normová logika MTL a její involutivní rozšíření IMTL jsou silně standardně úplné. V článku ukazujeme, že PiMTL (kancelativní rozšíření MTL) není silně standardně úplná podobně jako BL, Lukasiewiczova a produktová logika. (cs)
- It is well-known that Hájek's Basic Fuzzy Logic (BL), Lukasiewicz logic, and product logic are not strongly standard complete. On the other hand Esteva and Godo's Monoidal T-norm Based Logic (MTL) and its involutive extension IMTL are strongly standard complete. In this paper we show that PiMTL (an extension of MTL by the axioms characteristic of product logic) does not enjoy the strong standard completeness theorem like BL, Lukasiewicz, and product logic.
- It is well-known that Hájek's Basic Fuzzy Logic (BL), Lukasiewicz logic, and product logic are not strongly standard complete. On the other hand Esteva and Godo's Monoidal T-norm Based Logic (MTL) and its involutive extension IMTL are strongly standard complete. In this paper we show that PiMTL (an extension of MTL by the axioms characteristic of product logic) does not enjoy the strong standard completeness theorem like BL, Lukasiewicz, and product logic. (en)
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Title
| - On the Failure of Standard Completeness in PiMTL for Infinite Theories
- PiMTL nemá silnou standardní úplnost pro nekonečné teorie (cs)
- On the Failure of Standard Completeness in PiMTL for Infinite Theories (en)
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skos:prefLabel
| - On the Failure of Standard Completeness in PiMTL for Infinite Theories
- PiMTL nemá silnou standardní úplnost pro nekonečné teorie (cs)
- On the Failure of Standard Completeness in PiMTL for Infinite Theories (en)
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skos:notation
| - RIV/67985807:_____/07:00079129!RIV08-AV0-67985807
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/67985807:_____/07:00079129
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - strong standard completeness; monoidal t-norm based logic (MTL); basic fuzzy logic (BL); product logic; Lukasiewicz logic; PiMTL; IMTL (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
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issn
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number of pages
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