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diff --git a/content/zettel/3a8g5c1.md b/content/zettel/3a8g5c1.md new file mode 100644 index 0000000..af27b61 --- /dev/null +++ b/content/zettel/3a8g5c1.md @@ -0,0 +1,22 @@ ++++ +title = "Semantic invariance on the evaluation of conditions" +author = "Yann Herklotz" +tags = [] +categories = [] +backlinks = ["3a8g5c"] +forwardlinks = ["3a8g5c2"] +zettelid = "3a8g5c1" ++++ + +We can design a semantic invariance on the evaluation of conditions, +showing that if we have a point that has predecessors, for any two +predecessors, there exists a condition such that the successors of that +condition dominate the two predecessors. + +This property should allow you to prove that in the region that is +dominated by a successor of a condition, that condition will always +evaluate to either true or false, depending on which successor was +chosen. + +This can be proven independently of the predicates themselves, which +makes the proof much easier. |