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- Publisher
- Springer Journals
- Copyright
- Copyright © 2015 by Springer Basel
- Subject
- Mathematics; Mathematics, general; Computer Science, general
- ISSN
- 1661-8270
- eISSN
- 1661-8289
- DOI
- 10.1007/s11786-015-0236-y
- Publisher site
- See Article on Publisher Site
Abstract
Graph grammars extend the theory of formal languages in order to model distributed parallelism in theoretical computer science. We show here that to certain classes of context-free and context-sensitive graph grammars one can associate a Lie algebra, whose structure is reminiscent of the insertion Lie algebras of quantum field theory. We also show that the Feynman graphs of quantum field theories are graph languages generated by a theory dependent graph grammar.
Journal
Mathematics in Computer Science – Springer Journals
Published: Aug 13, 2015