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roadmap.md

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Roadmap

The roadmap uses NASA's standard "Engineer Design Process".

1. Identify the problem

Normal paths are useful in combination with notation for standard mathematics, however:

  • Not covered by current type theoretic or set theoretic foundations
  • We understand the idea, but there are lots of edge cases (formal issues)
  • Lack of basic logical framework

2. Identify resources and constraints

  • We do not need a full fledged language, bootstrapping is sufficient
  • Operations needed are reducible to path semantical qubit operator ~
  • Extend Propositional Logic with path semantical qubit operator ~

3. Research

  • HOOO Exponential Propositions (needed for proper substitution in ~)
  • Core axiom of Path Semantics (entry-point of bootstrapping process)
  • Path semantical levels of propositions (symmetries of the core axiom)

4. Develop solutions

5. Select the best solution

6. Build the solution

7. Test and evaluate the solution

8. Record and present the results

9. Improve the solution