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MLQ
2008
103views more  MLQ 2008»
13 years 5 months ago
On contraction and the modal fragment
We observe that removing contraction from a standard sequent calculus for first-order predicate logic preserves completeness for the modal fragment.
Kai Brünnler, Dieter Probst, Thomas Studer
MLQ
2008
50views more  MLQ 2008»
13 years 5 months ago
A note on the axiomatisation of real numbers
Thierry Coquand, Henri Lombardi
MLQ
2008
63views more  MLQ 2008»
13 years 5 months ago
Elementary constructive theory of Henselian local rings
Abstract. We give an elementary theory of Henselian local rings and construct the Henselization of a local ring. All our theorems have an algorithmic content.
Maria Emilia Alonso, Henri Lombardi, Hervé ...
MLQ
2008
106views more  MLQ 2008»
13 years 5 months ago
A general Mitchell style iteration
We work out the details of a schema for a mixed support forcing iteration, which generalizes the Mitchell model [7] with no Aronszajn trees on 2. The main purpose of this paper is ...
John Krueger
MLQ
2008
54views more  MLQ 2008»
13 years 5 months ago
A constructive version of Birkhoff's theorem
Jesper Carlström
MLQ
2008
108views more  MLQ 2008»
13 years 5 months ago
Comparison of Picard groups in dimension 1
We compare two Picard groups in dimension one. Our proofs are constructive and the results generalize a theorem of J. Sands [11]. MSC 2000: 13C15, 13C20, 03F65, 13F45
Henri Lombardi, Claude Quitté
MLQ
2008
57views more  MLQ 2008»
13 years 5 months ago
Groupwise density cannot be much bigger than the unbounded number
We prove that g (the groupwise density number) is smaller or equal to b+, the successor of the minimal cardinality of an unbounded subset of . This is true even for the version of ...
Saharon Shelah
MLQ
2008
79views more  MLQ 2008»
13 years 5 months ago
Generating ultrafilters in a reasonable way
Abstract. We continue investigations of reasonable ultrafilters on uncountable cardinals defined in Shelah [8]. We introduce a general scheme of generating a filter on from filter...
Andrzej Roslanowski, Saharon Shelah