inductive
definition
IntelligenceTier
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IndisputableMonolith.Foundation.VoiceForcing on GitHub at line 70.
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67/-! ## Voice from Intelligence Tier -/
68
69/-- Intelligence tier enumeration. -/
70inductive IntelligenceTier where
71 | retrieval -- degree < 5
72 | singleStep -- degree 5-15
73 | chainReasoning -- degree 15-30
74 | creativity -- degree 30-50
75 | selfAware -- degree > 50
76 deriving DecidableEq, Repr
77
78/-- Voice richness increases with intelligence tier.
79 Each tier unlocks qualitatively richer voice capabilities. -/
80def tierVoiceRichness : IntelligenceTier → ℝ
81 | .retrieval => 0.1 -- word associations only
82 | .singleStep => 0.3 -- single-concept statements
83 | .chainReasoning => 0.6 -- multi-step narrative
84 | .creativity => 0.85 -- novel expression, metaphor
85 | .selfAware => 1.0 -- full self-reflective voice
86
87/-- Voice richness is monotonically ordered across tiers. -/
88theorem retrieval_le_singleStep :
89 tierVoiceRichness .retrieval ≤ tierVoiceRichness .singleStep := by
90 unfold tierVoiceRichness; norm_num
91
92theorem singleStep_le_chain :
93 tierVoiceRichness .singleStep ≤ tierVoiceRichness .chainReasoning := by
94 unfold tierVoiceRichness; norm_num
95
96theorem chain_le_creativity :
97 tierVoiceRichness .chainReasoning ≤ tierVoiceRichness .creativity := by
98 unfold tierVoiceRichness; norm_num
99
100theorem creativity_le_selfAware :