Generalizing the Asymmetric Run-length-limited Systems
D. Ahmadi Dastjerdi, S. Jangjooye Shaldehi
Journal of Advances in Mathematics and Computer Science · pp. 1134–1145 · Published 19 Feb 2014
10.9734/BJMCS/2014/7434Abstract
For i = 1; 2, if Xi is a synchronized system generated by Vi = {ui ∝I : ∝I ui ∝I ∈ B (Xi), ∝I ui } where _i is a synchronizing word for Xi, then a natural generalization of an asymmetric-RLL(d1; k1; d0; k0) systems is a coded system Z generated by We investigate the dynamical properties of Z. We show that Z is sofic or has specification with variable gap length (SVGL) if and only if X1 and X2 are so. Also, if Z is SFT or AFT, then X and Y are SFT or AFT respectively and sufficient conditions for the converse will be given.
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