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» Index Sets of Computable Structures with Decidable Theories
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RELMICS
1998
Springer
14 years 2 days ago
Coping with semilattices of relations in logics with relative accessibility relations
We present a class of polymodal logics for which the set of terms indexing the modal connectives can be hierarchized in two levels: the set of Boolean terms and the set of terms b...
Stéphane Demri
POPL
2010
ACM
14 years 5 months ago
Dependent types and program equivalence
The definition of type equivalence is one of the most important design issues for any typed language. In dependentlytyped languages, because terms appear in types, this definition...
Jianzhou Zhao, Limin Jia, Stephanie Weirich, Vilhe...
CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 8 months ago
Metric Structures and Probabilistic Computation
Abstract. Continuous first-order logic is used to apply model-theoretic analysis to analytic structures (e.g. Hilbert spaces, Banach spaces, probability spaces, etc.). Classical co...
Wesley Calvert
JAR
2006
236views more  JAR 2006»
13 years 7 months ago
Deciding 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
IANDC
2007
133views more  IANDC 2007»
13 years 7 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