(2011)], we further extend the results to more general cases. Theorems already presented in Cinkir et al. Phys.143, 807 (2011)] by using a different approach which is based on This work, we restudy some of the work done in Cinkir et al. Reversibility problem of 1D Cellular automata with periodic boundary hasīeen extended to ternary fields and further to finite primitive fields Was studied over the binary field ℤ2 by Martín del The reversibility problem for linear cellular automata with nullīoundary defined by a rule matrix in the form of a pentadiagonal matrix
The paper concludes with a consideration of the rule matrices of these families in obtaining linear codes over group rings, which are referred to as zero-divisor codes. Hence, this approach not only drastically decreases the computational time for determining the reversibility of these families but also provides an explicit construction of reverse cellular automatain the case of the existence of their inverses. Reversibility problem is simpli ed greatly. Biimsel Diller Ve Otomata Teorisi: Formal Languages and Automata Theory Uploaded by Document Information Share this document Sharing Options Copyright. By observing the algebraic structures of rule matrices that represent these families and associating them with polynomials in two variables in a quotient ring, the solution to the However, in this particular study the authors consider a novel approach. In order to determine whether a cellular automaton is reversible or not the reversibility of its rule matrix is studied via linear algebraic tools. Lisans, yüksek lisans, master düzeyindeki örenciler için Otomata Teorisi bölümü ile ilgili tüm derslerde, konularda assignment, ödev, soru, proje, tez, aratrma, homework, essay, take home exam çalmalarnz yaplr teslim edilir. It is well known that the reversibility problem is a very difficult one in general. Otomata Teorisi dersi hakknda ödev proje tez yazlr. In this paper the reversibility problem of a family of two-dimensional cellular automata is completely resolved.
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