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Network rewriting utility description. (English) Zbl 1533.68422

Silvestrov, Sergei (ed.) et al., Non-commutative and non-associative algebra and analysis structures. SPAS 2019. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, Västerås, Sweden, September 30 – October 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 426, 429-476 (2023).
Summary: This chapter describes the author’s computer program for doing network rewriting calculations, in its capacity as a tool used for scientific exploration – more precisely to systematically discover non-obvious consequences of the axioms for various algebraic structures. In particular this program can cope with algebraic structures, such as bi- and Hopf algebras, that mix classical operations with co-operations.
For the entire collection see [Zbl 1531.17004].

MSC:

68W30 Symbolic computation and algebraic computation
16T05 Hopf algebras and their applications
16T10 Bialgebras
18M30 String diagrams and graphical calculi
68Q42 Grammars and rewriting systems
68V99 Computer science support for mathematical research and practice

Software:

TikZ; TK; SQLite; GitHub; docstrip; pgf
Full Text: DOI

References:

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