A Head splicing system (H-system)consists of a finite set of strings (words) written over a finite alphabet, along with a finite set of rules that acts on the strings by iterated cutting and pasting to create a splicing language. Any interpretation that is aligned with Tom Head's original idea is one in which the strings represent double-stranded… (More)
This research work was motivated by industrial requirements of concurrent engineering, standard product data models and an integrated manufacturing environment, which are further reflected in process planning. The work can be elaborated as the information modeling in this area addresses the problem of capturing and representing manufacturing information… (More)
The commutativity degree of a group is defined to be the probability that two elements in the group commute. In this paper, the commutativity degree of all 2-Engel groups of order at most 20 are computed using two approaches, namely the Cayley Table method and the conjugacy classes method.
The first mathematical model of a splicing system that was analyzed in the framework of Formal Language Theory was developed in 1987 by Head. This model consists of a finite alphabet, a finite set of initial strings over the alphabet, and a finite set of rules that act upon the strings by iterated cutting and pasting, generating new strings. In this paper,… (More)
A mathematical model of a splicing system was firstly developed by Head in 1987. This model is abstractly analyzed in the framework of Formal Language Theory, which is a branch of Applied Discrete Mathematics and Theoretical Computer Science. This model consists of a finite set of initial strings over an alphabet that acts upon a finite set of rules. In… (More)