Compiling to categories (Conal Elliott)

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Generalizing over lambda calculus

  • allowing for various different interpretations of the exact same code
  • allowing to compile the exact same code to various very different compilation targets.

Basically a conversion …

  • from the usual internal lambda calculus based core representation of some functional languages
  • to a closed Cartesian category (CCC) based representation

… that can then be interpreted in various ways.

Examples

One concrete example especially relevant for the main topic
of this wikis (atomically precise manufacturing) is:
Compilation of the same 3D models to a representation that is suitable for:

  • (1) visualization interfaces
  • (2) production devices

Example targets for one and the same code include:

  • parallel data-processing diagrams
  • GPU code
  • VHDL code as hardware specifications for FPGAs or ASICs
  • interval arithmetic (e.g. usable to track error propagation and make properties about limited precision floats provable?)
  • F-rep 2D & 3D graphics
  • many many many more …

Related


External links

Central page linking to all relevant material:

  • Direct link to presentation video (2018-01-16) [1]