By Krassimir T Atanassov
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Additional info for Applications of Generalized Nets
3: TWO HEW CONSERVATIVE EXTENSIONS OF GENERALIZED NETS Rumen S. Christov Some problems and Krassimir T. Atanassov related to the extensions of the concept "gene ralized net" (GH) were generated during the development of the program realization of GNs. Below we discuss two new types of nets and prove that they are conservative extensions of the ordinary GHs. e. tokens with the same "predecessor"), (b) the tokens can be generated in different moments and from diffe rent, but kindred, "predecessors", then these tokens are united in one token by analogy with the procedu re from § 8 in App.
1 is also given. THEOREM i. 1. 3. e. is proved and another proof of Theo £ SHGH i s a conservative extension of £. Proof: From Theorem 1. 1. 3. 2, it follows that each SHGH sented by the UGH, which is an element of of £ can be represented £. by an element of can be repre Therefore every element £ and hence £ I- £ SHGH SHGH The other direction is obvious. Thus we give an answer of the Problem 19 in App, 1. REFEREHCES:  E. Atanassov Methodological aspect of the theory of generalized nets. II, AHSE Review Vol.
5 25 26 CHAPTER 1 There they will receive their final characteristics. The priorities of the three tokens (a, p and r) satisfy the condition n (a) > n