f spaces of signs (abstract real spectra) developed in [1] [18]. We consider pp (positive primitive) formulas in the language of reduced special groups as in [20]. We denote the pp...
The quantified relevant logic RQ is given a new semantics in which a formula xA is true when there is some true proposition that implies all x-instantiations of A. Formulae are mo...
Abstract. We explore the interaction between Lebesgue measure and dominating functions. We show, via both a priority construction and a forcing construction, that there is a functi...
We introduce and study the notions of a PAC substructure of a stable structure, and a bounded substructure of an arbitrary substructure, generalizing [8]. We give precise definiti...
It is shown that, according to NF, many of the assertions of ordinal arithmetic involving the T-function which is peculiar to NF turn out to be equivalent to the truth-in-certain-...
Levin and Schnorr (independently) introduced the monotone complexity, Km(), of a binary string . We use monotone complexity to define the relative complexity (or relative randomnes...
We show that there is a restriction, or modification of the finite-variable fragments of First Order Logic in which a weak form of Craig's Interpolation Theorem holds but a s...