Biosig theorem: posterior; Bayes factor B=P_d_life/P_d_abio; log O update; uniform prior

Layer 3 — Biologyin the astrobiology subtree

Sympy-exact symbolic witness of biosignature Bayesian-posterior canonical identities. Setup: P_d_life, P_life, P_d_abio, O_prior — all positive symbols. Bayesian posterior: P(life|d) = P_d_life·P_life / (P_d_life·P_life + P_d_abio·(1 −…

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Biosignature Bayesian evidence: P(life|d)=P(d|life)P(life)/P(d); Bayes factor

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