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We derive a Mal'cev condition for congruence meet-semidistributivity and then use it to prove two theorems. Theorem A: if a variety in a finite language is congruence meet-sem...
There is a comeager set C contained in the set of 1-generic reals and a first order structure M such that for any real number X, there is an element of C which is recursive in X if...
Let K0 be the class of structures , <, A , where A is disjoint from a club, and let K1 be the class of structures , <, A , where A contains a club. We prove that if = &...
We deal with several pcf problems; we characterize another version of exponentiation: number of -branches in a tree with nodes, deal with existence of independent sets in stable t...
We consider a finite universe U (more exactly - a family U of them), second order quantifiers QK , where for each U this means quantifying over a family of n(K)-place relations clo...
The notion of a D-ring, generalizing that of a differential or a difference ring, is introduced. Quantifier elimination and a version of the AxKochen-Ershov principle is proven for...
We introduce a sequent calculus B for a new logic, named basic logic. The aim of basic logic is to find a structure in the space of logics. Classical, intuitionistic, quantum and ...
Giovanni Sambin, Giulia Battilotti, Claudia Faggia...
We show that to every recursive total continuous functional there is a representative of in the hierearchy of partial continuous functionals such that is S1 - S9 computable ov...