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» On Monadic Theories of Monadic Predicates
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90
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CSL
2009
Springer
15 years 4 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) ...
Alexander Rabinovich
74
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CORR
2004
Springer
100views Education» more  CORR 2004»
14 years 9 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
84
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ICDT
1995
ACM
91views Database» more  ICDT 1995»
15 years 1 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 1 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
76
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FPLE
1995
15 years 1 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