TY - GEN

T1 - Decidable extensions of church's problem

AU - Rabinovich, Alexander

PY - 2009

Y1 - 2009

N2 - 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. Büchi 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.

AB - 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. Büchi 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.

UR - http://www.scopus.com/inward/record.url?scp=70350357367&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-04027-6_31

DO - 10.1007/978-3-642-04027-6_31

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AN - SCOPUS:70350357367

SN - 3642040268

SN - 9783642040269

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 424

EP - 439

BT - Computer Science Logic - 23rd International Workshop, CSL 2009 - 18th Annual Conference of the EACSL, Proceedings

Y2 - 7 September 2009 through 11 September 2009

ER -