initial commit: confluence and normalisation

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milner committed 2026-09-22 09:20:00 +02:00
commit af32b21463
17 files changed
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digraph reduction_dup {
rankdir=LR;
bgcolor="white";
node [fontname=Inter, fontsize=10];
edge [fontname=Inter, fontsize=9, color="#333333"];
graph [labelloc=t, fontcolor="#333333", label="(lambda x. x x) y reduction graph"];
n0 [label="(lambda x. x x) y", shape=box, style="filled", fillcolor="#f5f5f5", color="#333333", fontcolor="#333333"];
n1 [label="(x x)[x/y]", shape=box, style="filled", fillcolor="#f5f5f5", color="#333333", fontcolor="#333333"];
n2 [label="(y x)[x/y]", shape=box, style="filled", fillcolor="#f5f5f5", color="#333333", fontcolor="#333333"];
n2b [label="(x y)[x/y]", shape=box, style="filled", fillcolor="#f5f5f5", color="#333333", fontcolor="#333333"];
n3 [label="(y y)[x/y]", shape=box, style="filled", fillcolor="#f5f5f5", color="#333333", fontcolor="#333333"];
nf [label="y y (normal form)", shape=doublecircle, style=filled, fillcolor="#d9ead3", color="#38761d", fontcolor="#333333"];
n0 -> n1 [label="B", color="#990000"];
n1 -> n2 [label="R", color="#674ea7"];
n1 -> n2b [label="R", color="#674ea7"];
n2 -> n3 [label="R", color="#674ea7"];
n2b -> n3 [label="R", color="#674ea7"];
n3 -> nf [label="Gc", color="#38761d"];
{rank=same; n2; n2b;}
}