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formal statement (Lean)
93noncomputable def biasedCoinEntropy : ℝ :=
proof body
Definition body.
94 -0.9 * log2 0.9 - 0.1 * log2 0.1
95
96/-! ## J-Cost Connection -/
97
98/-- In RS, compression is J-cost minimization:
99
100 **Uncompressed data**: High redundancy = High J-cost
101 **Compressed data**: No redundancy = Low J-cost
102 **Perfect compression**: J-cost = entropy (minimum)
103
104 Compression algorithms seek minimum J-cost! -/
depends on (11)
Lean names referenced from this declaration's body.
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entropy
in IndisputableMonolith.Foundation.InitialCondition
decl_use
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
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cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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log2
in IndisputableMonolith.Information.Compression
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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Cost
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
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entropy
in IndisputableMonolith.Thermodynamics.BoltzmannDistribution
decl_use
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entropy
in IndisputableMonolith.Thermodynamics.PartitionFunction
decl_use