In this paper, we discourse an analysis of classical first-order predicate logic as a constraint satisfaction problem, CSP. First, will offer our general framework for CSPs, and then apply it to logic. We claim would function new semantics, Then, prove the soundness completeness theorems with respect semantics. The latter theorem, which be proven by proof-search method, implies cut-elimination ...

We consider the Fold Complementarity Problem, which is one of the recent subjects in complementarity theory. It is a mathematical model used in economics in the study of distributive problems (cf. [25], [5]). A particular case is the k-Fold Complementarity Problem, studied using a variant of the notion of Z-function by A. Villar [25]. In this way, Villar obtained the solution of this problem as...