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» Stationary Sets and Infinitary Logic
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JSYML
2000
54views more  JSYML 2000»
13 years 5 months ago
Stationary Sets and Infinitary Logic
Let K0 be the class of structures , <, A , where A is disjoint from a club, and let K1 be the class of structures , <, A , where A contains a club. We prove that if = &...
Saharon Shelah, Jouko A. Väänänen
BSL
2004
110views more  BSL 2004»
13 years 5 months ago
Notes on quasiminimality and excellence
This paper ties together much of the model theory of the last 50 years. Shelah's attempts to generalize the Morley theorem beyond first order logic led to the notion of excel...
John T. Baldwin
MLQ
2008
63views more  MLQ 2008»
13 years 5 months ago
The stationary set splitting game
The stationary set splitting game is a game of perfect information of length 1 between two players, unsplit and split, in which unsplit chooses stationarily many countable ordinal...
Paul B. Larson, Saharon Shelah
CSL
2006
Springer
13 years 9 months ago
Game Quantification on Automatic Structures and Hierarchical Model Checking Games
Game quantification is an expressive concept and has been studied in model theory and descriptive set theory, especially in relation to infinitary logics. Automatic structures on t...
Lukasz Kaiser
LPNMR
1993
Springer
13 years 9 months ago
An Assumption-Based Framework for Non-Monotonic Reasoning
The notion of assumption-based framework generalises and re nes the use of abduction to give a formalisation of non-monotonic reasoning. In this framework, a sentence is a non-mon...
Andrei Bondarenko, Francesca Toni, Robert A. Kowal...