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MLQ
2008
103views more  MLQ 2008»
13 years 11 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 11 months ago
A note on the axiomatisation of real numbers
Thierry Coquand, Henri Lombardi
MLQ
2008
63views more  MLQ 2008»
13 years 11 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 11 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 11 months ago
A constructive version of Birkhoff's theorem
Jesper Carlström
MLQ
2008
108views more  MLQ 2008»
13 years 11 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 11 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 11 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