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» On Monadic Theories of Monadic Predicates
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CSL
2009
Springer
16 years 16 days 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) ...
Alexander Rabinovich
CORR
2004
Springer
100views Education» more  CORR 2004»
15 years 5 months ago
On the Theory of Structural Subtyping
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)...
Viktor Kuncak, Martin C. Rinard
ICDT
1995
ACM
91views Database» more  ICDT 1995»
15 years 9 months ago
Some Positive Results for Boundedness of Multiple Recursive Rules
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...
Ke Wang
CSL
2007
Springer
15 years 10 months ago
MSO on the Infinite Binary Tree: Choice and Order
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...
Arnaud Carayol, Christof Löding
FPLE
1995
15 years 9 months ago
Explaining Algebraic Theory with Functional Programs
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...
Jeroen Fokker