Count(q) does not imply Count(p)

Søren Riis

Abstract


I solve a conjecture originally studied by M.Ajtai. It states that for different primes q, p the matching principles Count(q) and Count(p) are logically independent. I prove that this indeed is the case. Actually I show that Count(q) implies Count(p) exactly when each prime in p also is a factor in q.

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DOI: http://dx.doi.org/10.7146/brics.v1i21.21646
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ISSN: 0909-0878 

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