Rachunek nazw z listami

In its suppositional phrasing the quantifier-less calculus of names has rules of introduction and Omission of the all (π) and some (σ) functors of the n/n category. The functors are the equivalents of quantifiers. A certain extension of its language by individual variables and a list Operator ([…]) is proposed here. In so extended language the quantifier-less calculus of names with lists is constructed, where axiom AI (a Substitute of the axiom of the theory of identity) and the rules characterising the list Operator are adopted.