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ECCC
2010
92views more  ECCC 2010»
14 years 10 months ago
Logspace Versions of the Theorems of Bodlaender and Courcelle
Bodlaender’s Theorem states that for every k there is a linear-time algorithm that decides whether an input graph has tree width k and, if so, computes a width-k tree compositio...
Michael Elberfeld, Andreas Jakoby, Till Tantau
DCG
2000
76views more  DCG 2000»
14 years 11 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»
14 years 10 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
COMBINATORICS
2000
75views more  COMBINATORICS 2000»
14 years 11 months ago
Franklin's Argument Proves an Identity of Zagier
Recently Zagier proved a remarkable q-series identity. We show that this identity can also be proved by modifying Franklin's classical proof of Euler's pentagonal number...
Robin J. Chapman
CDC
2010
IEEE
14 years 6 months ago
Interpreting the iISS small-gain theorem as transient plus ISS small-gain regulation
This paper addresses the problem of establishing stability of interconnections of integral input-to-state stable (iISS) systems. Recently, the small-gain theorem for input-tostate ...
Hiroshi Ito, Randy A. Freeman, Antoine Chaillet