Geodesic
Proper forcings and absoluteness in $L(\Bbb R)$
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 2, pp. 281-301.

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We show that in the presence of large cardinals proper forcings do not change the theory of $L(\Bbb R)$ with real and ordinal parameters and do not code any set of ordinals into the reals unless that set has already been so coded in the ground model.
Classification : 03E40, 03E55
Keywords: proper forcing; large cardinals 
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     title = {Proper forcings and absoluteness in $L(\Bbb R)$},
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Neeman, Itay; Zapletal, Jindřich. Proper forcings and absoluteness in $L(\Bbb R)$. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 2, pp. 281-301. http://geodesic.mathdoc.fr/item/CMUC_1998__39_2_a5/