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Kamala Krithivasan Automata Pdf Free [CRACKED] 16


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kolam designs of south indian folk art are treated as examples of two-dimensional picture languages, many of the complicated kolain patterns are seen to be generable by context-free array grammars. two methods of kolam generation are discussed.


the aim of this thesis is to study the combinatorics of certain types of languages that have a rich form of symmetry and can be effectively represented using arrays. for example, the class of lattice array languages, and the class of lattice array sublanguages which are closed under the well-known array operations that preserve the lattice structure. also, this thesis explores the applicability of lattice array languages in cryptography. a new notion of encryption called lattice array encryption is defined, which can be used to prove that the class of lattice array languages is a subset of the class of languages accepted by one-way 2-d cellular automata. this thesis also presents a number of important results in the context of lattice array languages. these results are obtained by using a matrix approach to represent the boolean structure of the array. this theory is then used to derive a fast algorithm for the boolean matrix inversion, which is then used to efficiently test whether a given array language is regular, context-free or recursively enumerable. further, this thesis studies a class of array languages called self-similar lattice array languages. self-similar lattice array languages are useful in developing cryptosystems that work for the partial solution of the birthday problem. the theory of lattice array languages is used to prove that the class of self-similar lattice array languages is a proper subset of the class of context-free array languages. the theory of array languages is also used to prove that the class of self-similar lattice array languages is a subset of the class of languages accepted by one-way 2-d cellular automata. this theory is then used to prove a computational lower bound for the halting problem for certain types of one-way 2-d cellular automata. the class of self-similar lattice array languages is also studied in the context of de bruijn sequences, a class of self-similar lattice array languages for which the boolean structure is always regular. the theory of lattice array languages is used to prove that the class of de bruijn sequences is a proper subset of the class of regular languages. the use of lattice array languages in cryptography is demonstrated by developing a new notion of lattice array encryption. it is shown that the class of lattice array languages is a subset of the class of languages accepted by one-way 2-d cellular automata. a construction for a one-way 2-d cellular automaton that accepts the class of lattice array languages is also given. the class of languages accepted by one-way 2-d cellular automata is shown to be a proper subset of the class of regular languages. a generalised n-dimensional cellular automaton that accepts the class of lattice array languages is also given. this generalised n-dimensional cellular automaton is shown to be almost context-free. it is also shown that the class of languages accepted by the n-dimensional generalised cellular automaton is a subset of the class of lattice array languages. 3d9ccd7d82






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