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|688 Dedekind's Axiom Deficiency and Dirichlet Series in Number Theory, 2nd ed. |
... Dedekind's Problem The determination of the number of monotone BOOLEAN
FUNCTIONS of n variables (equivalent to the number of ANTICHAINS on the ...
|1 The number of isotone maps A very special instance of the enumeration |
problem of isotone maps is the famous problem of Dedekind: What is the number
D(n) of elements of FBD(n), the'n-genemted free distributive lattice? It is the same
|The generation of hyper-power set D* is closely related with the famous |
Dedekind's problem 3, 4 on enumerating the set of isotone Boolean functions.
The generation of the hyper-power set is presented in . Since for any given
finite set Q, ...
|The cardinality of hyper-power set ˘ is majored by 3⁄43⁄4Ň when Card ́˘μ ˘ Ň. |
The generation of hyper-power set ˘ corresponds to the famous Dedekind's
problem on enumerating the set of monotone Boolean functions (i.e., functions ...
|It was in working out aspects of this still incomplete theory (see section 19) that |
Dedekind was led to the problem that inspired Frobenius to introduce his "higher
dimensional characters." Let G be a finite group of order h and let gt • • • gh be the
|We will not, however, pursue this question here, but rather examine how |
Dedekind sets up his “purely arithmetic and perfectly rigorous foundation.”
Dedekind's problem is to define the set of real numbers (R) in terms of the set of
|Dedekind's task, however, is to systemize arithmetic using more general |
principles. ... The attempt to show that arithmetic is APW cannot illuminate this
feature of arithmetic, but once we give that up, we may find the problem a fruitful
one for ...
|The generation of hyper-power set D9 corresponds to the famous Dedekind's |
problem on enumerating the set of monotone Boolean functions The choice of
letter D in our notation D9 to represent the hyper-power set of 9 is in honour of
|For a computational approach to the problem and a list of the known Dedekind |
numbers so far (also given in Remark 4 in Chapter 11), cf. . Another time
honored approach to difficult problems is to translate them into a different venue.
|10.5.1.3 Dedekind's problem again We have already mentioned Sapozhenko's |
request for a solution of the VIP on the Johnson graph, J (d, n) for application to
Dedekind's problem. Unfortunately, the asymptotic analysis we presented in ...