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Combinatorial Dyson-Schwinger equations and inductive data types

Research paper by Joachim Kock

Indexed on: 24 Dec '15Published on: 24 Dec '15Published in: Mathematical Physics



Abstract

The goal of this contribution is to explain the analogy between combinatorial Dyson-Schwinger equations and inductive data types to a readership of mathematical physicists. The connection relies on an interpretation of combinatorial Dyson-Schwinger equations as fixpoint equations for polynomial functors (established elsewhere by the author, and summarised here), combined with the now-classical fact that polynomial functors provide semantics for inductive types. The paper is expository, and comprises also a brief introduction to type theory.