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» Uniform Heyting arithmetic
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AML
2011
204views Mathematics» more  AML 2011»
13 years 8 days 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 5 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
13 years 11 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 5 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 5 hour 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