Infinite games and reduced products
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Publication:3966110
DOI10.1016/0003-4843(81)90012-7zbMath0501.03014OpenAlexW1968810634MaRDI QIDQ3966110
Saharon Shelah, Wilfrid Hodges
Publication date: 1981
Published in: Annals of Mathematical Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0003-4843(81)90012-7
interpolation theoremultrafiltersamalgamation propertyHorn logicBeth definability theoremCraig interpolation theoremgame quantifiersFeferman-Vaught propertykappa-complete filtersnoncompact logic
Logic with extra quantifiers and operators (03C80) Ultraproducts and related constructions (03C20) Other infinitary logic (03C75)
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A very thin thick superatomic Boolean algebra ⋮ Isomorphic limit ultrapowers for infinitary logic ⋮ There are reasonably nice logics ⋮ Generic Algebras ⋮ Ranks of Maharam algebras ⋮ On the number of automorphisms of uncountable models ⋮ Partitioning pairs of countable ordinals ⋮ The theorems of Beth and Craig in abstract model theory. III: \(\Delta\)- logics and infinitary logics ⋮ On \(\kappa\)-complete reduced products ⋮ On the homogeneity property for certain quantifier logics ⋮ Meager-nowhere dense games. I: \(n\)-tactics ⋮ Some characterization theorems for infinitary universal Horn logic without equality
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