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JSYML
2002
66views more  JSYML 2002»
14 years 9 months ago
Proving Consistency of Equational Theories in Bounded Arithmetic
We consider equational theories for functions defined via recursion involving equations between closed terms with natural rules based on recursive definitions of the function symb...
Arnold Beckmann
JSYML
2002
70views more  JSYML 2002»
14 years 9 months ago
Coding with Ladders A Well Ordering of The Reals
Any model of ZFC + GCH has a generic extension (made with a poset of size 2) in which the following hold: MA + 20 = 2+ there exists a 2 1-well ordering of the reals. The proof con...
Uri Abraham, Saharon Shelah
JSYML
2002
78views more  JSYML 2002»
14 years 9 months ago
An Axiomatic Presentation of The Nonstandard Methods in Mathematics
A nonstandard set theory ZFC is proposed that axiomatizes the nonstandard embedding . Besides the usual principles of nonstandard analysis, all axioms of ZFC except regularity are...
Mauro Di Nasso
JSYML
2002
81views more  JSYML 2002»
14 years 9 months ago
Group Configurations and Germs in Simple Theories
We develop the theory of germs of generic functions in simple theories. Starting with an algebraic quadrangle (or other similar hypotheses), we obtain an "almost" generic...
Itay Ben-Yaacov
JSYML
2002
114views more  JSYML 2002»
14 years 9 months ago
Interpolation for First Order S5
An interpolation theorem holds for many standard modal logics, but first order S5 is a prominent example of a logic for which it fails. In this paper it is shown that a first orde...
Melvin Fitting