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AML
2004
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13 years 11 months ago
A realizability interpretation for classical analysis
We present a realizability interpretation for classical analysis
Henry Towsner
AML
2004
54views more  AML 2004»
13 years 11 months ago
Imaginaries in Hilbert spaces
We characterise imaginaries (up to interdefinability) in Hilbert spaces using a Galois theory for compact unitary groups.
Itay Ben-Yaacov, Alexander Berenstein
AML
2004
78views more  AML 2004»
13 years 11 months ago
Matrix identities and the pigeonhole principle
We show that short bounded-depth Frege proofs of matrix identities, such as P Q = I QP = I (over the field of two elements), imply short bounded-depth Frege proofs of the pigeonho...
Michael Soltys, Alasdair Urquhart
AML
2004
90views more  AML 2004»
13 years 11 months ago
A comparison of two systems of ordinal notations
The standard method of generating countable ordinals from uncountable ordinals can be replaced by a use of fixed point extractors available in the term calculus of Howard's s...
Harold Simmons