منابع مشابه
On the Restricted Ordinal Theorem
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متن کاملA Note on Ordinal DFAs
We prove the following theorem. Suppose that M is a trim DFA on the Boolean alphabet 0, 1. The language L(M) is well-ordered by the lex-icographic order < ℓ iff whenever the non sink states q, q.0 are in the same strong component, then q.1 is a sink. It is easy to see that this property is sufficient. In order to show the necessity, we analyze the behavior of a < ℓ-descending sequence of words....
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An open problem posed by John H. Conway in [2] was whether one could, on his system of numbers and games, ' . . . define operations of addition and multiplication which will restrict on the ordinals to give their usual operations'. Such a definition for addition was later given in [4], and this paper will show that a definition also exists for multiplication. An ordinal exponentiation operation...
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When is a mechanism designer justified in only asking for ordinal information about preferences? Simple examples show that, even if the planner’s goal (expressed by a social choice correspondence, or SCC) depends only on ordinal information, eliciting cardinal information may help with incentives. However, if agents may be uncertain about their own cardinal preferences, then a strong robustness...
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In this paper, we define fuzzy subnexuses over a nexus $N$. Define and study the notions of the prime fuzzy subnexuses and the fractionsinduced by them. Finally, we show that if S is a meetclosed subset of the set Fsub(N), of fuzzy subnexuses of a nexus N, andh= ⋀S ϵ S, then the fractions S^-1 N and h^-1 N are isomorphic as meet-semilattices.
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1961
ISSN: 0025-5645
DOI: 10.2969/jmsj/01340346