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Description
  • Je formulována slabá varianta Robinsonovy aritmetiky Q s ne nutně totálními operacemi; tato teorie se vyšetruje v rámci základní matematické predikátové logiky BL. Je podán důkaz podstatné nerozhodnutelnosti této fuzzy aritmetiky. (cs)
  • A weak variant of Robinson's arithmetic Q where the binary operations of addition and multiplication are replaced by ternary relations ( not necessarily defining total crisp functions) is formulated and investigated over the mathematical fuzzy logic BL for all. Essential undecidability of this fuzzy arithmetic is proved by a careful analysis of the classical proof of essential undecidability of arithmetic.
  • A weak variant of Robinson's arithmetic Q where the binary operations of addition and multiplication are replaced by ternary relations ( not necessarily defining total crisp functions) is formulated and investigated over the mathematical fuzzy logic BL for all. Essential undecidability of this fuzzy arithmetic is proved by a careful analysis of the classical proof of essential undecidability of arithmetic. (en)
Title
  • Mathematical Fuzzy Logic and Natural Numbers
  • Matematická fuzzy logika a přirozená čísla (cs)
  • Mathematical Fuzzy Logic and Natural Numbers (en)
skos:prefLabel
  • Mathematical Fuzzy Logic and Natural Numbers
  • Matematická fuzzy logika a přirozená čísla (cs)
  • Mathematical Fuzzy Logic and Natural Numbers (en)
skos:notation
  • RIV/67985807:_____/07:00310053!RIV09-AV0-67985807
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  • P(IAA100300503), Z(AV0Z10300504)
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  • 1-3
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  • 432313
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  • RIV/67985807:_____/07:00310053
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  • fuzzy logic; arithmetic; essential undecidability (en)
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  • NL - Nizozemsko
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  • [FDCF1E2E3507]
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  • 81
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  • Hájek, Petr
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  • 000252979700008
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  • 0169-2968
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