feat(Logic/Modal/BSML): Hintikka formulas; expressive completeness proved - #1982
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Builds the Hintikka machinery and uses it to discharge the library's
expressiveCompleteness_conversesorry, makingLogic/Modal/sorry-free.charFormula M k w(depth-kHintikka formula: atomic type ∧◇of each successor type ∧□of the successor-type disjunction) with the two-directional characterisationclassicalEval_charFormula_iff_bisim : … ↔ WorldBisim k M w M v, plus the singleton-support lift and supportingfalsum/bigDisj/team-support API.expressiveCompleteness_converse: every convex, union-closed, bounded-bisimulation-closed team property is BSML-definable (within-model finite-atom form of Anttila 2025 Ch 3 — the cross-model theorem indexes bisimulation by finite atom sets, so[Fintype Atom]is the honest hypothesis). The defining formula isδ_U ∧ ⋀_{T ∈ 𝒯} ((δ_T ∧ NE) ∨ δ_U)over flat characteristic disjunctions, withUthe union ofP's teams and𝒯the transversal world-sets; a supporting team's uncovered-worlds set fails transversality, yieldings₀ ∈ Pcovered byt, ands₀ ∪ (U ∩ cover t)closes via convexity + bisim-closure.expressivelyComplete— the headline theorem — is now fully proved.