逻辑学研究
邏輯學研究
라집학연구
SUN YATSEN UNIVERSITY FORUM
2014年
2期
39-61
,共23页
正则互摸拟%非良基公理%非良基集合的域%非良基集合的分类
正則互摸擬%非良基公理%非良基集閤的域%非良基集閤的分類
정칙호모의%비량기공리%비량기집합적역%비량기집합적분류
本文介绍正则互模拟理论并比较了正则互模拟的外延性大小,通过对非良基公理之间不相容的条件的讨论,我们进一步比较了由正则互模拟决定的非良基集合域的大小,最后对非良基集合论FAFA、SAFA和AFA中的非良基集合进行了分类。
本文介紹正則互模擬理論併比較瞭正則互模擬的外延性大小,通過對非良基公理之間不相容的條件的討論,我們進一步比較瞭由正則互模擬決定的非良基集閤域的大小,最後對非良基集閤論FAFA、SAFA和AFA中的非良基集閤進行瞭分類。
본문개소정칙호모의이론병비교료정칙호모의적외연성대소,통과대비량기공리지간불상용적조건적토론,아문진일보비교료유정칙호모의결정적비량기집합역적대소,최후대비량기집합론FAFA、SAFA화AFA중적비량기집합진행료분류。
This paper firstly introduces the basic theory of regular bisimulation and compares the extensions of some regular bisimulations. Secondly, through the discussion of the incompatible condition between non-well-founded axioms, we further compare with the domains of non-well-founded set theories determined by regular bisimulations. Finally we give the classification of the non-well-founded sets in non-well-founded set theories FAFA, SAFA , AFA.