In Constant Propagation Framework (CPF), how is the data flow value lattice…

2025

In Constant Propagation Framework (CPF), how is the data flow value lattice for a variable typically defined?

  1. A.

    Each variable is assumed to hold top throughout the analysis, ensuring safe but imprecise propagation.

  2. B.

    CPF relies on a flat structure using lists of constants instead of a lattice-based approach.

  3. C.

    Every variable is associated with a value from the lattice: a specific constant, ⊥ (no information), or T (unknown or varying).

  4. D.

    The lattice includes only two possible values: constant and non-constant.

Show answer & explanation

Correct answer: C

The Constant Propagation Framework (CPF) is a compiler optimization technique used in data-flow analysis. It determines whether variables hold constant values during program execution.

The lattice for each variable typically contains:

Specific constants → e.g., 5, 10
⊥ (bottom) → no information available yet
T (top) → value is unknown or varies across execution paths

Example:

x = 5
y = x + 2

Since x is known to be 5, the compiler can propagate the constant and determine that y = 7.

The lattice structure helps merge information safely from different control-flow paths.

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