Compiler Representations & Nested Control¶
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Abstractions about intermediate representations, nested scopes and stacks, lambda lifting, loop structure, automata, notation, and polyhedral program transformation.
7 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.
- Funarg problem — Resolve how a first-class nested function can retain or access lexically scoped nonlocal variables when its invocation outlives or occurs outside the defining stack frame.
- Inner loop — A loop nested inside another loop whose full execution is initiated during each applicable iteration of the enclosing loop.
- Intermediate representation — Represent a program inside a compiler or virtual machine in a typed form designed for analysis, optimization, transformation, and translation between source and target languages.
- Juggling notation — A formal symbolic or diagrammatic representation of juggling throws, catches, hands, timing, crossings, and object trajectories used to communicate and analyze repeatable patterns.
- Lambda lifting — A semantics-preserving program transformation that removes local free variables by parameterization and promotes nested functions to a broader or global scope.
- Nested stack automaton — A finite-state automaton with a recursively nested stack store whose head operates on the innermost active stack.
- Polyhedral Model — A compiler framework that lifts an affine program region into integer-set iteration domains, access and dependence relations, and a multidimensional schedule, searches legal schedule transformations for locality or parallelism, then regenerates equivalent executable loops.