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@@ -61,11 +61,22 @@ This will build all the necessary `.vo` and `.c` files, as well as the `fibe` bi
 ### Curve Correctness Theorems
 
 Specifications live in [`src/Spec`](./src/Spec), e.g., [`src/Spec/Ed25519.v`](./src/Spec/Ed25519.v).
-Some selected cuve-level proofs live in [`src/Curves/Edwards/AffineProofs.v`](./src/Curves/Edwards/AffineProofs.v), [`src/Curves/Edwards/XYZT/Basic.v`](./src/Curves/Edwards/XYZT/Basic.v), [`src/Curves/Montgomery/AffineProofs.v`](./src/Curves/Montgomery/AffineProofs.v) [`src/Curves/Montgomery/XZProofs.v`](src/Curves/Montgomery/XZProofs.v).
+Some selected cuve-level proofs live in
+- [`src/Curves/Edwards/AffineProofs.v`](./src/Curves/Edwards/AffineProofs.v),
+- [`src/Curves/Edwards/XYZT/Basic.v`](./src/Curves/Edwards/XYZT/Basic.v),
+- [`src/Curves/Montgomery/AffineProofs.v`](./src/Curves/Montgomery/AffineProofs.v),
+- [`src/Curves/Montgomery/XZProofs.v`](src/Curves/Montgomery/XZProofs.v).
 
 ### Arithmetic Core
 
-Generic mathematical optimization strategies live in [`src/Arithmetic`](./src/Arithmetic).  Good examples include [`src/Arithmetic/Core.v`](src/Arithmetic/Core.v), [`src/Arithmetic/Karatsuba.v`](src/Arithmetic/Karatsuba.v), [`src/Arithmetic/Saturated/Core.v`](./src/Arithmetic/Saturated/Core.v), [`src/Arithmetic/BarrettReduction/HAC.v`](./src/Arithmetic/BarrettReduction/HAC.v), [`src/Arithmetic/MontgomeryReduction/Definition.v`](./src/Arithmetic/MontgomeryReduction/Definition.v), [`src/Arithmetic/MontgomeryReduction/WordByWord/Abstract/Definition.v`](./src/Arithmetic/MontgomeryReduction/WordByWord/Abstract/Definition.v).
+Generic mathematical optimization strategies live in [`src/Arithmetic`](./src/Arithmetic).
+Good examples include
+- [`src/Arithmetic/Core.v`](src/Arithmetic/Core.v),
+- [`src/Arithmetic/Karatsuba.v`](src/Arithmetic/Karatsuba.v),
+- [`src/Arithmetic/Saturated/Core.v`](./src/Arithmetic/Saturated/Core.v),
+- [`src/Arithmetic/BarrettReduction/HAC.v`](./src/Arithmetic/BarrettReduction/HAC.v),
+- [`src/Arithmetic/MontgomeryReduction/Definition.v`](./src/Arithmetic/MontgomeryReduction/Definition.v),
+- [`src/Arithmetic/MontgomeryReduction/WordByWord/Abstract/Definition.v`](./src/Arithmetic/MontgomeryReduction/WordByWord/Abstract/Definition.v).
 
 ### Demo of Synthesis
 
@@ -73,9 +84,21 @@ The idea of the synthesis process is demoed in [`src/Demo.v`](./src/Demo.v).
 
 ### Actual Synthesis
 
-The curve-non-specific synthesis framework lives in [`src/Compilers/Z/Bounds/Pipeline`](./src/Compilers/Z/Bounds/Pipeline).  The API for the reflective simplification and bounds analysis pipeline is in [`src/Compilers/Z/Bounds/Pipeline.v`](./src/Compilers/Z/Bounds/Pipeline.v).  The definition of the pipeline and the correctness proof are in [`src/Compilers/Z/Bounds/Pipeline/Definition.v`](./src/Compilers/Z/Bounds/Pipeline/Definition.v).  Generic reflective syntax trees are defined in [`src/Compilers/Syntax.v`](./src/Compilers/Syntax.v); the specialization to the arithmetic operations on Z that we use occurs in [`src/Compilers/Z/Syntax.v`](./src/Compilers/Z/Syntax.v).  The trusted pretty-printer lives in [`src/Compilers/Z/CNotations.v`](./src/Compilers/Z/CNotations.v) and [`src/Compilers/Z/HexNotationConstants.v`](./src/Compilers/Z/HexNotationConstants.v), which were generated by the couple-hundred-line Python scripts in a comment near the top of each file.  The core of the bounds-analysis transformation lives in [`src/Compilers/Z/Bounds/Interpretation.v`](./src/Compilers/Z/Bounds/Interpretation.v); the corresponding proofs live in [`src/Compilers/Z/Bounds/InterpretationLemmas`](./src/Compilers/Z/Bounds/InterpretationLemmas), and the instantation of the bounds-analysis transformation with the core lives in [`src/Compilers/Z/Bounds/MapCastByDeBruijn.v`](./src/Compilers/Z/Bounds/MapCastByDeBruijn.v).
-
-The curve-specific synthesis framework lives in [`src/Specific/Framework`](./src/Specific/Framework).  The input `.json` files live in [`src/Specific/CurveParameters`](./src/Specific/CurveParameters), and the processor for those files lives in [`src/Specific/Framework/make_curve.py`](./src/Specific/Framework/make_curve.py).  The record of curve specific parameters is defined in [`src/Specific/Framework/RawCurveParameters.v`](./src/Specific/Framework/RawCurveParameters.v), and defaults are filled in [`src/Specific/Framework/CurveParameters.v`](src/Specific/Framework/CurveParameters.v).  The tactics that specialize the various arithmetic optimizations to specific curves live in [`src/Specific/Framework/ArithmeticSynthesis`](./src/Specific/Framework/ArithmeticSynthesis), e.g., [`src/Specific/Framework/ArithmeticSynthesis/Montgomery.v`](./src/Specific/Framework/ArithmeticSynthesis/Montgomery.v).  The script at [`src/Specific/Framework/ArithmeticSynthesis/remake_packages.py`](./src/Specific/Framework/ArithmeticSynthesis/remake_packages.py) processes these files to add relevant boilerplate, and gets run after significantly changing an optimization, or after adding a new optimization.  The synthesis tactics are assembled in [`src/Specific/Framework/SynthesisFramework.v`](./src/Specific/Framework/SynthesisFramework.v).  Note that magic<a name="magic-ref">[¹](#magic)</a> is used to create identifiers refering to the curve-specific parameters, from tactics, so that they can be used in other curve-specific files.
+- The curve-non-specific synthesis framework lives in [`src/Compilers/Z/Bounds/Pipeline`](./src/Compilers/Z/Bounds/Pipeline).
+- The API for the reflective simplification and bounds analysis pipeline is in [`src/Compilers/Z/Bounds/Pipeline.v`](./src/Compilers/Z/Bounds/Pipeline.v).
+- The definition of the pipeline and the correctness proof are in [`src/Compilers/Z/Bounds/Pipeline/Definition.v`](./src/Compilers/Z/Bounds/Pipeline/Definition.v).
+- Generic reflective syntax trees are defined in [`src/Compilers/Syntax.v`](./src/Compilers/Syntax.v); the specialization to the arithmetic operations on Z that we use occurs in [`src/Compilers/Z/Syntax.v`](./src/Compilers/Z/Syntax.v).
+- The trusted pretty-printer lives in [`src/Compilers/Z/CNotations.v`](./src/Compilers/Z/CNotations.v) and [`src/Compilers/Z/HexNotationConstants.v`](./src/Compilers/Z/HexNotationConstants.v), which were generated by the couple-hundred-line Python scripts in a comment near the top of each file.
+- The core of the bounds-analysis transformation lives in [`src/Compilers/Z/Bounds/Interpretation.v`](./src/Compilers/Z/Bounds/Interpretation.v); the corresponding proofs live in [`src/Compilers/Z/Bounds/InterpretationLemmas`](./src/Compilers/Z/Bounds/InterpretationLemmas), and the instantation of the bounds-analysis transformation with the core lives in [`src/Compilers/Z/Bounds/MapCastByDeBruijn.v`](./src/Compilers/Z/Bounds/MapCastByDeBruijn.v).
+
+
+The curve-specific synthesis framework lives in [`src/Specific/Framework`](./src/Specific/Framework).
+- The input `.json` files live in [`src/Specific/CurveParameters`](./src/Specific/CurveParameters), and the processor for those files lives in [`src/Specific/Framework/make_curve.py`](./src/Specific/Framework/make_curve.py).
+- The record of curve specific parameters is defined in [`src/Specific/Framework/RawCurveParameters.v`](./src/Specific/Framework/RawCurveParameters.v), and defaults are filled in [`src/Specific/Framework/CurveParameters.v`](src/Specific/Framework/CurveParameters.v).
+- The tactics that specialize the various arithmetic optimizations to specific curves live in [`src/Specific/Framework/ArithmeticSynthesis`](./src/Specific/Framework/ArithmeticSynthesis), e.g., [`src/Specific/Framework/ArithmeticSynthesis/Montgomery.v`](./src/Specific/Framework/ArithmeticSynthesis/Montgomery.v).
+- The script at [`src/Specific/Framework/ArithmeticSynthesis/remake_packages.py`](./src/Specific/Framework/ArithmeticSynthesis/remake_packages.py) processes these files to add relevant boilerplate, and gets run after significantly changing an optimization, or after adding a new optimization.
+- The synthesis tactics are assembled in [`src/Specific/Framework/SynthesisFramework.v`](./src/Specific/Framework/SynthesisFramework.v).  
+Note that magic<a name="magic-ref">[¹](#magic)</a> is used to create identifiers refering to the curve-specific parameters, from tactics, so that they can be used in other curve-specific files.
 
 ### Example Output