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From: Giorgi Japaridze <giorgi.japaridze@...>
Subject: Re: Frogs and Pigeons
Newsgroups: gmane.science.mathematics.frogs
Date: 2007-03-22 06:43:59 GMT (1 year, 7 weeks, 2 days, 14 hours and 30 minutes ago)
Lutz,

> Now it is very easy to exhibit a polynomial size proof for the 
> pidgeon-hole principle in the cut-free version of "SKS with substitution".

Would that proof involve (other than substitution) only analytical rules, 
or would it also have to use some non-analytical rules such as upward aw?

Giorgi