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MLQ
2008
54views more  MLQ 2008»
13 years 5 months ago
A localic theory of lower and upper integrals
An account of lower and upper integration is given. It is constructive in the sense of geometric logic. If the integrand takes its values in the nonnegative lower reals, then its ...
Steven Vickers
MLQ
2008
63views more  MLQ 2008»
13 years 5 months ago
On triangular norm based axiomatic extensions of the weak nilpotent minimum logic
In this paper we carry out an algebraic investigation of the Weak Nilpotent Minimum logic (WNM) and its t-norm based axiomatic extensions. We consider the algebraic counterpart of...
Carles Noguera, Francesc Esteva, Joan Gispert
MLQ
2008
63views more  MLQ 2008»
13 years 5 months ago
Generic cuts in models of arithmetic
We present some general results concerning the topological space of cuts of a countable model of arithmetic given by a particular indicator Y . The notion of `indicator' is d...
Richard Kaye
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
63views more  MLQ 2008»
13 years 5 months ago
The stationary set splitting game
The stationary set splitting game is a game of perfect information of length 1 between two players, unsplit and split, in which unsplit chooses stationarily many countable ordinal...
Paul B. Larson, Saharon Shelah