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APAL
2010
98views more  APAL 2010»
13 years 4 months ago
Classical proof forestry
Classical proof forests are a proof formalism for first-order classical logic based on Herbrand's Theorem and backtracking games in the style of Coquand. First described by M...
Willem Heijltjes
CORR
2011
Springer
137views Education» more  CORR 2011»
12 years 11 months ago
Existential witness extraction in classical realizability and via a negative translation
Abstract. We show how to extract existential witnesses from classical proofs using Krivine’s classical realizability—where classical proofs are interpreted as λ-terms with the...
Alexandre Miquel
APAL
2010
123views more  APAL 2010»
13 years 2 months ago
Classical descriptive set theory as a refinement of effective descriptive set theory
The (effective) Suslin-Kleene Theorem is obtained as a corollary of a standard proof of the classical Suslin Theorem, by noticing that it is mostly constructive and applying to it...
Yiannis N. Moschovakis
APAL
2011
12 years 11 months ago
Dichotomy theorems for countably infinite dimensional analytic hypergraphs
Abstract. We give classical proofs, strengthenings, and generalizations of Lecomte’s characterizations of analytic ω-dimensional hypergraphs with countable Borel chromatic numbe...
Benjamin D. Miller
JCT
2011
87views more  JCT 2011»
12 years 11 months ago
Chain enumeration of k-divisible noncrossing partitions of classical types
We give combinatorial proofs of the formulas for the number of multichains in the k-divisible noncrossing partitions of classical types with certain conditions on the rank and the ...
Jang Soo Kim