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APAL
2005
115views more  APAL 2005»
15 years 13 days ago
Completeness of S4 with respect to the real line: revisited
We prove that S4 is complete with respect to Boolean combinations of countable unions of convex subsets of the real line, thus strengthening a 1944 result of McKinsey and Tarski (...
Guram Bezhanishvili, Mai Gehrke
87
Voted
APAL
2005
89views more  APAL 2005»
15 years 13 days ago
Softness of hypercoherences and MALL full completeness
We prove a full completeness theorem for multiplicative-additive linear logic (i.e. MALL) using a double gluing construction applied to Ehrhard's -autonomous category of hype...
Richard Blute, Masahiro Hamano, Philip J. Scott
APAL
2005
88views more  APAL 2005»
15 years 13 days ago
Completing pseudojump operators
We investigate operators which take a set X to a set relatively computably enumerable in and above X by studying which such sets X can be so mapped into the Turing degree of K. We...
Richard Coles, Rodney G. Downey, Carl G. Jockusch ...
69
Voted
APAL
2005
82views more  APAL 2005»
15 years 13 days ago
Forcing indestructibility of MAD families
Let A [] be a maximal almost disjoint family and assume P is a forcing notion. Say A is P-indestructible if A is still maximal in any P-generic extension. We investigate P-indest...
Jörg Brendle, Shunsuke Yatabe
49
Voted
APAL
2005
88views more  APAL 2005»
15 years 13 days ago
Dependence relations in computably rigid computable vector spaces
Abstract. We construct a computable vector space with the trivial computable automorphism group, but with the dependence relations as complicated as possible, measured by their Tur...
Rumen D. Dimitrov, Valentina S. Harizanov, Andrei ...