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APAL
2006
76views more  APAL 2006»
13 years 11 months ago
Non-primitive recursive decidability of products of modal logics with expanding domains
We show that--unlike products of `transitive' modal logics which are usually undecidable-their `expanding domain' relativisations can be decidable, though not in primiti...
David Gabelaia, Agi Kurucz, Frank Wolter, Michael ...
APAL
2006
56views more  APAL 2006»
13 years 11 months ago
Power function on stationary classes
We show that under certain large cardinal requirements there is a generic extension in which the power function behaves differently on different stationary classes. We achieve this...
Moti Gitik, Carmi Merimovich
APAL
2006
66views more  APAL 2006»
13 years 11 months ago
Uncountable categoricity of local abstract elementary classes with amalgamation
BLE CATEGORICITY OF LOCAL ABSTRACT ELEMENTARY CLASSES WITH AMALGAMATION JOHN T. BALDWIN AND OLIVIER LESSMANN We give a complete and elementary proof of the following upward categor...
John T. Baldwin, Olivier Lessmann
APAL
2006
54views more  APAL 2006»
13 years 11 months ago
Covering the Baire space by families which are not finitely dominating
It is consistent (relative to ZFC) that each union of max{b, g} many families in the Baire space which are not finitely dominating is not dominating. In particular, it is consist...
Heike Mildenberger, Saharon Shelah, Boaz Tsaban
APAL
2006
107views more  APAL 2006»
13 years 11 months ago
Frege systems for extensible modal logics
By a well-known result of Cook and Reckhow [4, 12], all Frege systems for the Classical Propositional Calculus (CPC) are polynomially equivalent. Mints and Kojevnikov [11] have re...
Emil Jerábek