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» The Modal Formula (...) Is Not First-Order Definable
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FROCOS
2000
Springer
15 years 1 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio
JAR
2010
98views more  JAR 2010»
14 years 4 months ago
Proof-Guided Test Selection from First-Order Specifications with Equality
This paper deals with test case selection from axiomatic specifications whose axioms are quantifier-free first-order formulas with equality. We first prove the existence of an ide...
Delphine Longuet, Marc Aiguier, Pascale Le Gall
CP
2000
Springer
15 years 1 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
JSYML
2008
105views more  JSYML 2008»
14 years 9 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
NDJFL
2002
75views more  NDJFL 2002»
14 years 9 months ago
Definability of Initial Segments
In any nonstandard model of Peano arithmetic, the standard part is not first order definable. But we show that in some model the standard part is definable as the unique solution ...
Saharon Shelah, Akito Tsuboi