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CP
2000
Springer
13 years 10 months ago
Expressiveness of Full First Order Constraints in the Algebra of Finite or Infinite Trees
We are interested in the expressiveness of constraints represented by general first order formulae, with equality as unique relation symbol and function symbols taken from an infi...
Alain Colmerauer, Thi-Bich-Hanh Dao
CADE
2005
Springer
14 years 7 months ago
Reflecting Proofs in First-Order Logic with Equality
Our general goal is to provide better automation in interactive proof assistants such as Coq. We present an interpreter of proof traces in first-order multi-sorted logic with equal...
Evelyne Contejean, Pierre Corbineau
LICS
2009
IEEE
14 years 1 months ago
The Structure of First-Order Causality
Game semantics describe the interactive behavior of proofs by interpreting formulas as games on which proofs induce strategies. Such a semantics is introduced here for capturing d...
Samuel Mimram
CORR
2004
Springer
176views Education» more  CORR 2004»
13 years 7 months ago
The First-Order Theory of Sets with Cardinality Constraints is Decidable
Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
Viktor Kuncak, Martin C. Rinard
JSYML
2008
105views more  JSYML 2008»
13 years 7 months ago
Finite state automata and monadic definability of singular cardinals
We define a class of finite state automata acting on transfinite sequences, and use these automata to prove that no singular cardinal can be defined by a monadic second order formu...
Itay Neeman