FTD Grammar Graph

Abstract

The notations of (1) KBO: Knowledge Based Object, (2) FTD: Formally Technology Dependent, (3) WW KBO: Window Womb KBO, (4) PL KBO: Programming Language KBO, (5) APM KBO: Processing Machine KBO, and (6) AIPM KBO: Information Processing Mechanism KBO, were studied in U¨nlu¨ [1-3]. Let the meaning of an arbitrarily chosen X :=\\langle X^o,X,X^+\\rangle\\ \\hbox{KBO} representation be recursively X takes the value of X^o in the initial states, or the value of X in the present states, or the value of X^+ in the next states. 1 1 Where X^o stands for the initial state value of X , X stands for the present state value of X , X^+ stands for the next state value of X . This paper introduces, finds or develops the following abstract tools on an objective u KBO in an organization \\hbox{O}=(\\hbox{W, u.W, u, u.E, E, T}_{\\rm B}) KBO in an arbitrary u.W KBO in a WW KBO type W: (1) A FTD formal grammar type \\hbox{G} := \\langle \\hbox{G}^{\\rm o}, \\hbox{G, G}^+\\rangle\\ \\hbox{KBO} , (2) A FTD formal grammar graph type \\hbox{gG} := \\langle \\hbox{gG}^{\\rm o}, \\hbox{gG, gG}^+\\rangle\\ \\hbox{KBO} , (3) An AIPM KBO type Algorithm A for translating from a FTD formal grammar type G KBO to a formal graph type gG KBO and an inverse Algorithm B for translating vise versa. (4) A via-state dependent differential operator \\hbox{D} := \\langle\\hbox{D}^{\\rm o}, \\hbox{D, D}^+\\rangle and a via-state dependent integral operator \\hbox{I} := \\langle \\hbox{I}^{\\rm o}, \\hbox{I, I}^+\\rangle , on the FTD formal grammar graph type gG. (5) A horizon type H KBO on a FTD formal grammar graph gG KBO and a frame type F on a FTD formal grammar G KBO. (6) A FTD contemporary Science Frame cSF \\hbox{S} = (\\hbox{S}_{\\rm w}, \\hbox{S}_{\\rm u.w}, \\hbox{S}_{\\rm u}, \\hbox{S}_{\\rm u.E}, \\hbox{S}_{\\rm E}, \\hbox{S}_{\\rm {T_B}}) KBO model on the objective u KBO in u.W in W via D and I. (7) A result that it can be stated as "a FTD formal grammar type G via its FTD formal grammar graph gG under D and I is a formal abstraction mechanism to produce a FTD contemporary Science Frame cSF type S KBO science model on an objective u in u.W in W".