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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 factor in p also is a factor in q. 1 The logic of elementary counting “She loves me, she loves me not, she loves me,. . ....
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ژورنال
عنوان ژورنال: Mathematical Biosciences
سال: 2007
ISSN: 0025-5564
DOI: 10.1016/j.mbs.2005.03.002