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A short note on simultaneous splitting
Authors:Seth Breidbart
Affiliation:(1) Department of Mathematics, University of California, 93106 Santa Barbara, California, USA;(2) Present address: Department of Computer Science, Cornell University, 14853 Ithaca, NY, USA
Abstract:We show that for any alphabet Sgr there is a setL sum 
$$ \subseteq$$
sum* such that ifC is any infinite co-infinite context-free language over Sgr, thenL Sgr splitsC (i.e., each ofL sum xcapC,L sum 
$$\bar C$$
, 
$$\overline {L_\Sigma  }$$
xcapC, and 
$$\overline {L_\Sigma  }$$
xcap 
$$\bar C$$
is infinite).Preparation of this paper was supported in part by the National Science Foundation under Grant No. MCS77-11360.
Keywords:
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