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AML
2011
204views Mathematics» more  AML 2011»
13 years 2 months ago
Intermediate Logics and the de Jongh property
We prove that all extensions of Heyting Arithmetic with a logic that has the finite frame property possess the de Jongh property. Dedicated to Petr H´ajek, on the occasion of his...
Dick de Jongh, Rineke Verbrugge, Albert Visser
ITA
2006
100views Communications» more  ITA 2006»
13 years 7 months ago
Sequences of low arithmetical complexity
Arithmetical complexity of a sequence is the number of words of length n that can be extracted from it according to arithmetic progressions. We study uniformly recurrent words of l...
Sergey V. Avgustinovich, Julien Cassaigne, Anna E....
TLCA
2009
Springer
14 years 1 months ago
Lexicographic Path Induction
Abstract. Programming languages theory is full of problems that reduce to proving the consistency of a logic, such as the normalization of typed lambda-calculi, the decidability of...
Jeffrey Sarnat, Carsten Schürmann
AML
2002
94views more  AML 2002»
13 years 7 months ago
H-theories, fragments of HA and PA-normality
For a classical theory T, H(T) denotes the intuitionistic theory of T-normal (i.e. locally T) Kripke structures. S. Buss has asked for a characterization of the theories in the ra...
Morteza Moniri
JUCS
2010
110views more  JUCS 2010»
13 years 2 months ago
On Choice Principles and Fan Theorems
: Veldman proved that the contrapositive of countable binary choice is a theorem of full-fledged intuitionism, to which end he used a principle of continuous choice and the fan the...
Hannes Diener, Peter Schuster