Abstract
Using an [Formula: see text]-ary superposition operation [Formula: see text] on the set [Formula: see text] of all [Formula: see text]-ary term of [Formula: see text], one obtains a unitary Menger algebra [Formula: see text] of rank [Formula: see text]. In this paper, we define the set [Formula: see text] of all [Formula: see text]-ary C-quantifier free formulas of type [Formula: see text] on the set [Formula: see text] and define the operation [Formula: see text] on the set [Formula: see text]. After this definition, we have a unitary Mengar algebra [Formula: see text].
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