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    * Abstract
    * Intro
    ** Why Gradual Typing
    ** Why Axiomatic Gradual Typing?
    ** Why These Axioms?
    *** beta, eta
    *** graduality
    ** Axioms to Implementation
    ** Inequalities to Observational Approximation
    * Axioms of GTT
    * Theorems in GTT
    * GTT to CBPV Contracts
    ** Interpreting the Dynamic Types
    *** Extending GTT
    ** Contracts as EP Pairs
    ** High-level Lemmas
    * Axiomatic CBPV to Operational CBPV
    ** Thunkability and Linearity
    ** High-level Statement
    * Graduality logical relation for CBPV
    ** Ordering Results
    ** Step-Indexed Logical Relation
    ** High-Level statement of Result
    * Discussion