Abstract. Church's Problem (1962) asks for the construction of a procedure which, given a logical specification on sequence pairs, realizes for any input sequence X an output...
ABSTRACT. Church's Problem asks for the construction of a procedure which, given a logical specification on sequence pairs, realizes for any input sequence I an output sequen...
We refine HO/N game semantics with an additional notion of pointer (mu-pointers) and extend it to first-order classical logic with completeness results. We use a Church style exte...
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) ...
For a two-variable formula (X, Y ) of Monadic Logic of Order (MLO) the Church Synthesis Problem concerns the existence and construction of an operator Y = F(X) such that (X, F(X)) ...