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Groupoid Infinity

Groupoid Infinity is building integrated environment for mathematician:

  • ANT — Publishing environment a la ТеХ
  • CAS — Computable and Symbolic Mathematics a la Wolfram Mathematica, GAP
  • NOTE — Notebook Interface a la Jupyter
  • RT — Runtime Interpreter and Virtual Machines
  • CERT — Theorem Prover a la Lean/Agda

RT: Virtual Machines and Runtime Languages

  • APL — persistent tensor array processing runtime (get, put, fold)
  • CPS — fast certified L1 lambda CPS interpreter as runtime (fun, app)
  • EFF — effect type system for (in)finite I/O (getString, putString, pure)
  • PRO — intercore protocol for process calculus (spawn, send, recv)
  • N2O — app frameworks: MNESIA, BPE, N2O, KVS, NITRO

CERT: Verification Languages

  • STLC — Simply Typed Lambda Calculus
  • PTS — Pure Type System for encodings exploration
  • HTS — Modal CCHM Homotopy Type System for math modeling
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