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)) ...
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) ...
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...
In this essay we discuss the origin, central results, and some perspectives of algorithmic synthesis of nonterminating reactive programs. We recall the fundamental questions raised...