Abstract. For a two-variable formula B(X,Y) of Monadic Logic of Order (MLO) the Church Synthesis Problem concerns the existence and construction of a finite-state operator Y=F(X) ...
We show that the first-order theory of structural subtyping of non-recursive types is decidable. Let be a language consisting of function symbols (representing type constructors)...
Following results are sketched in this extended abstract: (1) Datalog recursive programs where each rule has at most one subgoal called unit recursions are shown to be bounded, wit...
We give a new proof showing that it is not possible to define in monadic second-order logic (MSO) a choice function on the infinite binary tree. This result was first obtained by G...
Abstract. A hierarchy of six important structures from abstract algebra (groups, rings, fields etc.) is introduced as Gofer class definitions and laws about them. Many instance d...