recognition /
Complexity /
Complexity.CircuitLedger /
explainer
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formal statement (Lean)
128 def CircuitDecides {n : ℕ} (c : BooleanCircuit n) (f : CNFFormula n) : Prop :=
proof body
Definition body.
129 ∃ eval : Assignment n → Bool,
130 (∀ a : Assignment n, eval a = (f.satisfiedBy a))
131
132 /-! ## Part 2: Circuit Z-Complexity Capacity -/
133
134 /-- The **bond count** of a circuit is the total number of wires (parent→child edges).
135 Each gate contributes at most 2 wires (arity_le). -/
used by (9)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (19)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
BooleanCircuit
in IndisputableMonolith.Complexity.CircuitLedger
decl_use
Assignment
in IndisputableMonolith.Complexity.RSatEncoding
decl_use
CNFFormula
in IndisputableMonolith.Complexity.RSatEncoding
decl_use
Assignment
in IndisputableMonolith.Complexity.SAT.CNF
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
eval
in IndisputableMonolith.Foundation.LogicAsFunctionalEquation.LinearLogicBridge
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
Z
in IndisputableMonolith.Masses.Anchor
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
total
in IndisputableMonolith.NavierStokes.DiscreteVorticity
decl_use
total
in IndisputableMonolith.NumberTheory.RiemannHypothesis.ErrorBudget
decl_use
Z
in IndisputableMonolith.Physics.AnchorPolicyCertified
decl_use
eval
in IndisputableMonolith.Relativity.Fields.Scalar
decl_use