Definitions of Petri Net . Part I Waldemar

In the sequel M is a Petri net. Let us consider X , Y . Let us assume that X misses Y . The functor PTempty f (X ,Y ) yielding a strict Petri net is defined by: (Def. 4)2 PTempty f (X ,Y ) = 〈X ,Y, / 0〉. Let us consider X . The functor Tempty f (X) yields a strict Petri net and is defined by: (Def. 5) Tempty f (X) = PTempty f (X , / 0). The functor Pempty f (X) yields a strict Petri net and is defined by: (Def. 6) Pempty f (X) = PTempty f ( / 0,X). Let us consider x. The functor Tsingle f (x) yields a strict Petri net and is defined as follows: (Def. 7) Tsingle f (x) = PTempty f ( / 0,{x}). The functor Psingle f (x) yields a strict Petri net and is defined by: (Def. 8) Psingle f (x) = PTempty f ({x}, / 0). The strict Petri net empty f is defined as follows: (Def. 9) empty f = PTempty f ( / 0, / 0).