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Propositional extensions of L ω 1 ω

CONTENTS0. Preliminaries....................................................................... 71. Adding propositional connectives to L ω 1 ω ............... 82. The propositional part of L ω 1 ω (S)............................. 103. The operation S and the Boolean algebra B S ............... 114. General model-theoretic properties of L ω 1 ω (S)...... 175. Hanf number computations...................................................... 226. Negative results for L ω 1 ω (S)........................................ 277. Proposition...

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