Linear graph grammar

In computer science, a linear graph grammar (also a connection graph reduction system or a port graph grammar^[1]) is a class of graph grammar on which nodes have a number of ports connected together by edges and edges connect exactly two ports together. Interaction nets are a special subclass of linear graph grammars in which rewriting is confluent.

Bawden introduces linear graphs in the context of a compiler for a fragment of the Scheme programming language.^[2] Bawden and Mairson (1998) describe the design of a distributed implementation in which the linear graph is spread across many computing nodes and may freely migrate in order to make rewrites possible.

• Bawden, Alan (1986), Connection graphs, In Proceedings of the 1986 ACM conference on LISP and functional programming, pp. 258–265, ACM Press.
• Bawden, Alan (1992), Linear graph reduction: confronting the cost of naming, PhD dissertation, MIT.
• Bawden, Alan (1993), Implementing Distributed Systems Using Linear Naming, A.I. Technical Report No. 1627, MIT.
• Bawden and Mairson (1998), Linear naming: experimental software for optimizing communication protocols, Working paper #1, Dept. Computer Science, Brandeis University.

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