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» Algebraic Theories over Nominal Sets
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IANDC
2007
133views more  IANDC 2007»
14 years 10 months ago
On decidability of monadic logic of order over the naturals extended by monadic predicates
A fundamental result of Büchi states that the set of monadic second-order formulas true in the structure (Nat, <) is decidable. A natural question is: what monadic predicates ...
Alexander Rabinovich
ECCC
2008
168views more  ECCC 2008»
14 years 10 months ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson
CORR
2008
Springer
116views Education» more  CORR 2008»
14 years 10 months ago
Binding bigraphs as symmetric monoidal closed theories
Milner's bigraphs [1] are a general framework for reasoning about distributed and concurrent programming languages. Notably, it has been designed to encompass both the -calcul...
Tom Hirschowitz, Aurélien Pardon
CADE
2005
Springer
15 years 10 months ago
An Algorithm for Deciding BAPA: Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
CORR
2004
Springer
100views Education» more  CORR 2004»
14 years 10 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