Fine spectra and limit laws II First-order 0--1 laws.

Andrew Odlyzko; Bruce Richmond; Kevin Compton; Stanley Burris

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Fine spectra and limit laws II First-order 0--1 laws.

机译：精细光谱和极限定律II一阶0--1定律。

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Using Feferman-Vaught techniques a condition on the fine spectrum of an admissible class of structures is foundwhich leads to a first-order 0--1 law. The condition presented is best possible in the sense that if it is violated then one can find an admissibleclass with the same fine spectrum which does not have a first-order 0--1 law. If the condition is satisfied (and hence we have a first-order %% 0--1 law)

机译：使用Feferman-Vaught技术，发现了允许的一类结构的精细光谱条件，该条件导致一阶0-1律。从某种意义上讲，提出的条件是最好的，如果违反了条件，那么人们可以找到具有相同精细光谱且没有一阶0--1定律的可容许类。如果条件满足（因此我们有一阶%% 0--1法则）

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《Canadian Journal of Mathematics》 |1997年第1997期|共页
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Andrew Odlyzko; Bruce Richmond; Kevin Compton; Stanley Burris;
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中图分类数学;
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Fine spectra and limit laws II First-order 0--1 laws.

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