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arXiv math/9310212math.LO
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如何赢得一些简单的迭代游戏

How to win some simple iteration games

Alessandro Andretta, John R. Steel

摘要:

我们引入了两个新的迭代博弈:博弈G,它是弱迭代博弈的加强,以及博弈G+,它比G稍强但比长度为ω_1的完全迭代博弈弱。对于一个可数M可初等嵌入某些V_{eta},我们可以证明II赢得G(M,omega_1),而I不赢得G+(M)。

英文摘要:

We introduce two new iteration games: the game G, which is a strengthening of the weak iteration game, and the game G+, which is somewhat stronger than G but weaker than the full iteration game of length omega_1. For a countable M elementarily embeddable in some V_{eta}, we can show that II wins G(M,omega_1) and that I does not win the G+(M).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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