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» Proof theory and computational analysis
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FOCS
2002
IEEE
15 years 5 months ago
The Partition Technique for Overlays of Envelopes
We obtain a near-tight bound of O(n3+ε ), for any ε > 0, on the complexity of the overlay of the minimization diagrams of two collections of surfaces in four dimensions. This...
Vladlen Koltun, Micha Sharir
SMI
2005
IEEE
15 years 6 months ago
Maximizing Adaptivity in Hierarchical Topological Models
We present an approach to hierarchically encode the topology of functions over triangulated surfaces. We describe the topology of a function by its Morse-Smale complex, a well kno...
Peer-Timo Bremer, Valerio Pascucci, Bernd Hamann
POPL
2004
ACM
16 years 25 days ago
A bisimulation for dynamic sealing
We define seal, an untyped call-by-value -calculus with primitives for protecting abstract data by sealing, and develop a bisimulation proof method that is sound and complete with...
Eijiro Sumii, Benjamin C. Pierce
103
Voted
CIE
2007
Springer
15 years 6 months ago
Speed-Up Theorems in Type-2 Computation
Abstract. A classic result known as the speed-up theorem in machineindependent complexity theory shows that there exist some computable functions that do not have best programs for...
Chung-Chih Li
FOCS
2008
IEEE
15 years 7 months ago
Almost-Natural Proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
Timothy Y. Chow