By Cristian S. Calude
Professor Jozef Gruska is a well-known machine scientist for his many and large effects. He was once the daddy of theoretical computing device technology learn 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 likely one of the pioneers of parallel (systolic) automata. His different major study pursuits comprise parallel platforms and automata, in addition to quantum details processing, transmission, and cryptography. he's co-founder of 4 commonplace sequence of meetings in informatics and in quantum info processing and the Founding Chair (1989-96) of the IFIP expert crew on Foundations of desktop Science.
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Additional info for Computing with New Resources: Essays Dedicated to Jozef Gruska on the Occasion of His 80th Birthday
On a family of L languages resulting from systolic tree automata. Theoretical Computer Science 23(3), 231–242 (1983) 14. : Systolic automata for VLSI on balanced trees. Acta Informatica 18(4), 335–344 (1983) 15. : Systolic trellis automata I. International Journal of Computer Mathematics 15(1–4), 195–212 (1984) 16. : Systolic trellis automata II. International Journal of Computer Mathematics 16(1), 3–22 (1984) 17. : Systolic tree acceptors. RAIRO-Theoretical Informatics and Applications-Informatique Th´eorique et Applications 18(1), 53–69 (1984) 18.
Solitons can be considered as waves or particles travelling through some “substance” unhindered, without energy loss, and without interference. They travel slowly – at the speed of sound, but fast enough when only small distances need to be covered. They can, however, modify the “ﬁeld” through which they travel. We suggest that the reader view solitons as waves because this helps in the understanding of the formal model. S. Calude et al. ): Gruska Festschrift, LNCS 8808, pp. 32–48, 2014. 1007/978-3-319-13350-8 3 Soliton Automata with Multiple Waves 33 soliton in a rather metaphorical sense, abstracting radically from the physical and chemical realities.
22 R. Barbuti et al. Theorem 2. For every MBSTA M there exists a stable MBSTA M such that L(M ) = L(M ). Proof. Given the MBSTA M = (Λ, Q, F, f, g), we consider the BSTA K = (Λ, Q, F, f, g) having the same structure of M . From Theorem 1 there exists a stable BSTA K = (Λ, Q , F , f , g ) with L(K) = L(K ). Consider the MBSTA M = (Λ, Q , F , f , g ) having the same structure of K . From Proposition 2 we have that M is stable. It remains to be shown that L(M ) = L(M ). We prove that for any μ ∈ M(Λ), μ ∈ L(M ) implies μ ∈ L(M ), the converse is analogous.