add(named): the paper measure with machine checked counterexamples to its invariants (M5 metatheory)
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@@ -2,14 +2,36 @@ This was (mostly) me being bored in a Monday evening and in an attempt to formal
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## Graphs
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The dependency graph covers the six milestones and every edge runs from a dependency to the result that uses it while the node colour encodes the status proved or stated or planned or blocked:
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The dependency graphs are drawn in greyscale and split by milestone. Every edge runs from a dependency to the result that uses it. A box is a result named after a paper statement, an ellipse is a supporting result, and a dashed box labelled with a milestone is a result defined in another diagram. The overview gives the shape of the whole development:
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<p align="center"><img src="graphs/dependency-overview.svg" alt="Theorem dependency by milestone"></p>
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The details are then one diagram per milestone:
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### M1, binding and reduction
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<p align="center"><img src="graphs/dependency-M1.svg" alt="M1 dependencies"></p>
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### M2, metatheory and checks
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<p align="center"><img src="graphs/dependency-M2.svg" alt="M2 dependencies"></p>
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### M3, subsystem
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<p align="center"><img src="graphs/dependency-M3.svg" alt="M3 dependencies"></p>
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### M4, parallel reduction
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<p align="center"><img src="graphs/dependency-M4.svg" alt="M4 dependencies"></p>
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### M5, metaterms and the named calculus
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<p align="center"><img src="graphs/dependency-M5.svg" alt="M5 dependencies"></p>
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The rule sketch gives the transition system generated by the rules B and Gc and R:
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<p align="center"><img src="graphs/rules.svg" alt="Reduction rules"></p>
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The reduction graph gives the bounded reduct set of the term that applies the duplicating identity to a variable with every edge labelled by its rule and with the normal form marked:
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<p align="center"><img src="graphs/reduction.svg" alt="Reduction graph of the duplicating identity"></p>
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