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» Proving theorems by reuse
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CCCG
2009
13 years 11 months ago
The Centervertex Theorem for Wedge Depth
There are many depth measures on point sets that yield centerpoint theorems. These theorems guarantee the existence of points of a specified depth, a kind of geometric median. How...
Gary L. Miller, Todd Phillips, Donald Sheehy
CORR
2010
Springer
107views Education» more  CORR 2010»
13 years 10 months ago
A tight quantitative version of Arrow's impossibility theorem
The well-known Impossibility Theorem of Arrow asserts that any Generalized Social Welfare Function (GSWF) with at least three alternatives, which satisfies Independence of Irrelev...
Nathan Keller
DCG
2000
76views more  DCG 2000»
13 years 9 months ago
A Central Limit Theorem for Convex Chains in the Square
Points P1, . . . , Pn in the unit square define a convex n-chain if they are below y = x and, together with P0 = (0, 0) and Pn+1 = (1, 1), they are in convex position. Under unifo...
Imre Bárány, Günter Rote, Willi...
JAR
2010
160views more  JAR 2010»
13 years 8 months ago
MetiTarski: An Automatic Theorem Prover for Real-Valued Special Functions
Many theorems involving special functions such as ln, exp and sin can be proved automatically by MetiTarski: a resolution theorem prover modified to call a decision procedure for ...
Behzad Akbarpour, Lawrence C. Paulson
ESAW
2003
Springer
14 years 3 months ago
Patterns Reuse in the PASSI Methodology
Abstract. Design patterns already proved successful in lowering the development time and number of errors of object-oriented software; now, they are, candidate to play a similar ro...
Massimo Cossentino, Luca Sabatucci, Antonio Chella