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 = &...
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...
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...
Any model of ZFC + GCH has a generic extension (made with a poset of size 2) in which the following hold: MA + 20 = 2+ there exists a 2 1-well ordering of the reals. The proof con...
We consider equational theories for functions defined via recursion involving equations between closed terms with natural rules based on recursive definitions of the function symb...