Abstract Syntax Tree — Physics Simulation

How It Works

An Abstract Syntax Tree (AST) is an explicit hierarchical tree representation of programmatic syntax generated by language parsing algorithms. Interior nodes represent abstract operations, assignments, and control structures, while leaf nodes house variable identifiers and literal constant values. Compilers and interpreters traverse ASTs to verify semantic typing, apply intermediate code optimizations, and emit executable bytecode.

Governing Equation

Eval(N) = { Literal(N) (if N ∈ Leaves) | Op(N)(Eval(N_L), Eval(N_R)) (if N ∈ Interior) }