def
definition
def or abbrev
identity_config
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formal statement (Lean)
74def identity_config (t : ℕ) : Config := ⟨1, one_pos, t, by simp [Real.log_one]⟩
proof body
Definition body.
75
76/-! ## Cost Functions for Modal Logic -/
77
78/-- The fundamental cost J(x) = ½(x + 1/x) - 1.
79
80 This is the unique cost satisfying d'Alembert + normalization + calibration (T5). -/
used by (15)
-
A_advances_time -
collapse_automatic -
every_config_actualizes -
H_adjoint_non_minimal -
possibility_actualization_adjoint_minimal -
possibility_actualization_adjoint_monotonic -
curvature_at_identity -
identity_in_ball -
modal_completeness -
possibility_space_connected -
Actualize -
actualize_decreases_cost -
actualize_valid -
identity_always_possible -
identity_in_all_possibility_spaces