5 problems
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Mészáros–Tanjaya inclusion–exclusion positivity conjecture
Mészáros–Tanjaya's conjecture. For any permutation and subword of ,
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The Non-Cancelling Intersections Conjecture, formulation II
Non-Cancelling Intersections Conjecture, formulation II. For every tight intersection lattice ,
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The Non-Cancelling Intersections Conjecture
Non-Cancelling Intersections Conjecture. Whenever the measure of a union of sets can be expressed using the measures of some of their intersections through the inclusion-exclusion…
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Glasauer's conjecture on the everywhere-valid normal-cone inclusion-exclusion formula
Let be a polyhedral set. For each face of , let denote its normal cone, and define … Previously, this formula was known to hold only outside…
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Cowan's conjecture on the exceptional set in the inclusion-exclusion formula
Cowan's conjecture. The first case should hold for every ; that is,