Decidable Extensions of Church's Problem

10 years 6 months ago
Decidable Extensions of Church's Problem
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) such that B(X,F(X)) is universally valid over Nat. B¨uchi and Landweber (1969) proved that the Church synthesis problem is decidable. We investigate a parameterized version of the Church synthesis problem. In this extended version a formula B and a finite-state operator F might contain as a parameter a unary predicate P. A large class of predicates P is exhibited such that the Church problem with the parameter P is decidable. Our proofs use Composition Method and game theoretical techniques.
Alexander Rabinovich
Added 26 May 2010
Updated 26 May 2010
Type Conference
Year 2009
Where CSL
Authors Alexander Rabinovich
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