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Functional Architecture is Algebraic Architecture

Talkat FUNARCH 2026 · on Saturday, 2026-08-29· [software-architecture, functional-programming]
slides:none on file

Claim: functional architecture equals algebraic architecture — systems become describable as applicative expressions whose typeclass laws enumerate design choices. Evidence: a Haskell paper by Simon Peyton Jones and Neil Mitchell models build systems by varying a Task as Functor/Applicative/Monad to map existing build systems onto an algebraic space. Attempts here apply that idea to GHC layers (parser, renamer), probe simple components (cat’s identity/involutive/cyclic properties) and an 8086 simulator; work is speculative and unfinished but suggests LLMs can synthesize component variants from algebraic specs.

AI-written summary · about

  1. 0:00Introduction
  2. 1:03Functional architecture as algebra
  3. 4:16Programs to systems via applicative expressions
  4. 9:11Algebra in compiler components
  5. 14:12Why functional architecture matters
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