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Olivier Laurent edited this page Apr 28, 2021 · 53 revisions

Roadmap

Testing Phase (available soon)

Near Future

  • request to an automated prover
  • add cut rule (issue #12)
  • LaTeX export with implicit exchange rule (matching what is on the screen)
  • explicit exchange rule (with colored backgrounds to follow instances of formulas) (issue #11)
  • formula naming through (possibly recursive) equations (with click on name to unfold a definition inside a proof)
    𝔹 ::= (A ⊗ A) ⊸ (A ⊗ A)
    ℕ ::= !(A ⊸ A) ⊸ !(A ⊸ A)
    o ::= !o ⊸ o
    

Other directions

  • two-sided sequent calculus
  • intuitionistic linear logic
  • quantifiers (issue #16)
  • contexts as first-class objects (issue #13)
  • cyclic linear logic (exchange restricted to circular shifts, requires to modify the definition of dual of a formula)
  • additional tool for proof transformations (cut elimination, axiom expansion, reversing, focusing, substitution, etc.) (issue #12)
  • back edges for regular proofs
  • fixed-point connectives in formulas
  • mix rules (note mix2 can be faithfully simulated by adding ?(⊥⊗⊥) in the context, and similarly for mix0 with ?1)
  • export to proof-nets
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