@article{(Open Science Index):https://publications.waset.org/pdf/10000537,
	  title     = {An Alternative Proof for the Topological Entropy of the Motzkin Shift},
	  author    = {Fahad Alsharari and  Mohd Salmi Md Noorani},
	  country	= {},
	  institution	= {},
	  abstract     = {A Motzkin shift is a mathematical model for constraints
on genetic sequences. In terms of the theory of symbolic dynamics,
the Motzkin shift is nonsofic, and therefore, we cannot use the Perron-
Frobenius theory to calculate its topological entropy. The Motzkin
shift M(M,N) which comes from language theory, is defined to be the
shift system over an alphabet A that consists of N negative symbols,
N positive symbols and M neutral symbols. For an x in the full shift,
x will be in the Motzkin subshift M(M,N) if and only if every finite
block appearing in x has a non-zero reduced form. Therefore, the
constraint for x cannot be bounded in length. K. Inoue has shown that
the entropy of the Motzkin shift M(M,N) is log(M + N + 1). In this
paper, a new direct method of calculating the topological entropy of
the Motzkin shift is given without any measure theoretical discussion.
},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {9},
	  number    = {2},
	  year      = {2015},
	  pages     = {90 - 93},
	  ee        = {https://publications.waset.org/pdf/10000537},
	  url   	= {https://publications.waset.org/vol/98},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 98, 2015},
	}