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AML
2004
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13 years 4 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 4 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 4 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 4 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