The m-valued propositional calculi of POST') with one designated truth-value have been formalised2) by means of ten axioms and the rules of substitution and modus ponens. However, in view of the definition of the functor "=" as a conjunction, several axioms may be regarded as sets of m axioms. The o
The Functional Completeness of Post's m-Valued Propositional Calculus
β Scribed by Sally Barton
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 92 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0044-3050
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A FORMALlSATlON OF THE TYI -VALUED LUKASIEWICZ Ii\lPLICATIONAL YItOPOSlTIONAL CALCULUS WITH VARIABLE FUNCTORS by ALAN ROSE in Not,tingham (England) It has been shown1) that the m-valued LUKASIEWICZ implicational proposit,ioiial calculus with one designated truth-value may be fomialised by means of
GiiP take the truth-values x , y , f ( x , y), gif(x) respectively then2) l) A. ROSE, Sur un ensemble de foncteurs primitifs pour le calcul propositionnel 21, m valeurs \*) The operation "+"' is defined as in the previous paper. The operation " x "' is defined lequel constitue son propre m-al, Comp