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Lower bounds for weak sense of direction

✍ Scribed by Paolo Boldi; Sebastiano Vigna


Book ID
108497737
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
203 KB
Volume
1
Category
Article
ISSN
1570-8667

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We show that every resolution proof of the functional version FPHP m n of the pigeonhole principle (in which one pigeon may not split between several holes) must have size exp( (n=(log m) 2 )). This implies an exp( (n 1=3 )) bound when the number of pigeons m is arbitrary.