Surface and Curve Languages
Anitta Arulraj1, Robinson Thamburaj2, Huldah Samuel3
1Anitta Arulraj, Department of Mathematics, Madras Christian College, Chennai.
2Robinson Thamburaj, Department of Mathematics, Madras Christian College, Chennai.
3Huldah Samuel, Department of Mathematics, Madras Christian College, Chennai.
Manuscript received on 02 August 2019. | Revised Manuscript received on 08 August 2019. | Manuscript published on 30 September 2019. | PP: 6121-6126 | Volume-8 Issue-3 September 2019 | Retrieval Number: C5664098319/2019©BEIESP | DOI: 10.35940/ijrte.C5664.098319
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In the area of combinatorial studies of string languages under formal grammars, the concept of Generalized Parikh Vector (GPV) gives the positions of symbols in linear strings. It has been proved that GPVs of the strings of the same length lie on a hyper plane. The studies on GPV of strings over a binary alphabet gave rise to the concept of line languages. The concept has been extended to surface languages in this paper.
Keywords: Generalized Parikh Vector, Surface Language, Spherical Languages, Quasi Spherical Language.
Scope of the Article: Agent Architectures, Ontologies, Languages and Protocols