Computing with New Resources: Essays Dedicated to Jozef by Cristian S. Calude

By Cristian S. Calude

Professor Jozef Gruska is a widely known machine scientist for his many and vast effects. He was once the daddy of theoretical machine technology study in Czechoslovakia and one of the first Slovak programmers within the early Nineteen Sixties. Jozef Gruska brought the descriptional complexity of grammars, automata, and languages, and is without doubt one of the pioneers of parallel (systolic) automata. His different major examine pursuits comprise parallel structures and automata, in addition to quantum info processing, transmission, and cryptography. he's co-founder of 4 general sequence of meetings in informatics and in quantum info processing and the Founding Chair (1989-96) of the IFIP professional staff on Foundations of desktop Science.

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The processing function f , instead, maps two working symbols into one. The way in which a BSTA processes a candidate string to determine whether it belongs or not to the accepted language is by feeding its tree at a suitable level with such a string, and then by applying the processing function at each level (from bottom to top) in order to produce, in the root of the tree, a single operating symbol. If such a symbol belongs to the accepting alphabet (subset of the operating alphabet) then the candidate string is accepted, otherwise it is not accepted.

Ca Abstract. Soliton automata were defined by Dassow and J¨ urgensen about 1986 to model the changes of the bond structure in certain types of molecules as a result of a soliton wave travelling through the molecules. We extend the model to include the presence of more than just a single soliton. Certain situations are specific to the multi-soliton case and lead to changes to some of the basic definitions and result in a new class of soliton automata. In this paper we lay the foundations for a theory of multi-soliton automata, explain the modelling decisions, and discuss issues which are new when multiple solitons are considered.

In such a case, the objects ccc are sent into membrane 2. Therefore, any computation of this P system is composed of a Systolic Automata and P Systems 27 sequences of steps in which only r1 is applied (twice per step), followed by a last step in which rule r2 is applied once. Therefore, whenever the P system terminates, membrane 2 contains a multiset of objects bk c2k+3 , for some k ≥ 0. A P system can be used either as an acceptor or as a generator of a multiset language over an alphabet Λ [9].

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