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We study the relation between the projective and totally restricted extensions of preiterative algebras. We prove that each degree 1 projective extension of a quasicell of the algebra Pk* is a maximal subalgebra of a degree 1 totally restricted extension of the same quasicell. We show also that a projective extension of a quasicell can always be distinguished from its totally restricted extension...
In this paper, the method of well-combined semantics and syntax proposed by Pavelka is applied to the research of the propositional calculus formal system L * . The part of constant values are taken as formulas, formulas are fuzzified in two manners: semantically and syntactically, and inferring processes are fuzzified. A sequence of new extensions {L *n } of the system L ...
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