John Baez and Mike Stay’s 2009 article Physics, Topology, Logic and Computation: A Rosetta Stone, the n-Category Café discussion New structures for physics III, and Yuri Manin’s 2009 article Renormalization and computation I: motivation and background are perhaps interesting for you.
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added missing author; fixed broken arXiv mirror link; and added titles for human-readability / link-rot insurance
Peter LeFanu Lumsdaine
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Thomas Riepe
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