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    "result": "## Preconditions\n\n1. Every emitted program is a single MLIR `module { ... }` whose body contains only `dataflow.graph` definitions and nothing else.\n2. Each `dataflow.graph` is declared `private`, carries an explicit argument list with types, an explicit result-type list, and an attribute dictionary containing both `input_segments` and `result_segments` as `array<i32: ...>` triples.\n3. The `input_segments` triple always partitions the declared operands as six non-memory inputs, zero stream inputs, and either one memory operand (when the graph takes an incoming memref) or zero memory operands (when it does not), and the operand list is written in exactly that order.\n4. The `result_segments` triple is always `0, 0, 1`, i.e. every graph returns no values and no streams and exactly one memory capability, matching a single-element result-type list holding a memref type.\n5. Every graph body terminates with `dataflow.graph.return` written with an empty `values()` list, an empty `streams()` list, a `memories(...)` list holding exactly one SSA value with its memref type, and a `complete(%start : none)` clause naming the graph's `none`-typed start operand.\n6. The single exported memory value is one of exactly three provenances: a memref operand of the graph forwarded unchanged, a `memref.cast` of a memref operand, or the result of a `memref.alloc()` performed inside the graph; no other value is ever exported.\n7. When a graph exports a cast or an allocation, that defining operation (`memref.cast` or `memref.alloc()`) is the first operation in the graph body, occurring before any load, store, or control-flow region.\n8. The memref type appearing in the `memories(...)` clause is identical to the graph's declared result type and to the type of the exported SSA value: `memref<?xi32>` for the forwarded-operand and cast cases, `memref<4xi32>` for the allocation case.\n9. In the cast case the operand is declared with the static type `memref<4xi32>` and is cast to the dynamic type `memref<?xi32>`, so the cast changes only the shape from static to dynamic while keeping element type `i32`.\n10. All memory access in a body is scalar and single-dimensional: every access is a `memref.load` or `memref.store` with exactly one subscript and element type `i32`.\n11. Every `memref.load` and `memref.store` in a graph addresses the same SSA memref value that the graph exports, and the memref type annotation on each access is exactly that value's type.\n12. Every store in a body stores the graph's `i32` operand, and every load result is bound to an SSA name that is not consumed by any later operation and is not returned.\n13. Every subscript operand of a load or store has type `index`: either the graph's `index` operand directly, or a value produced by `arith.index_cast` from `i64` to `index`.\n14. Each graph body contains at least one store and exactly one trailing `memref.load` that is the final operation before the return and is placed at the top level of the body, never inside a region.\n15. Conditional bodies use `scf.if` with an `i1` condition operand, a single `then` region, no `else` region, and no results; the region contains only the store.\n16. Loop bodies use `scf.for` with lower bound, upper bound, and step all of type `i64` and an explicit `: i64` induction-type annotation, produce no iteration-carried results, and contain in their region an `arith.index_cast` from the `i64` induction variable to `index` followed by a store at that index.\n17. Control-flow regions are never nested: a body contains at most one `scf` operation, so no `scf.if` appears inside an `scf.for` and vice versa.\n18. No graph ever deallocates, copies, subviews, reinterprets, reshapes, or otherwise aliases a memref beyond the single optional `memref.cast`, and no memref value other than the exported one is created.\n19. Graphs are mutually independent: no graph calls, instantiates, or references another graph, and no symbol other than the graph's own name is defined.\n20. All SSA names used in a body are either graph block arguments or values defined earlier in the same body, so every program is in dominance-correct, well-defined SSA form.\n\n## Sampling conventions\n\n1. The module contains between one and three graph definitions inclusive, chosen uniformly at generation time; a program with zero or more than three graphs is never emitted.\n2. Graphs are indexed by a counter starting at 0 and incremented once per graph, and that index is appended to the symbol name so names are `@imported_export_0`, `@view_export_1`, and so on; no other naming scheme is used.\n3. Each graph independently picks its export provenance from exactly the three tags `imported`, `view`, and `fresh`, and its body shape from exactly the three tags `plain`, `cond`, and `loop`, giving nine possible graph forms; provenance and shape are chosen independently per graph.\n4. The symbol name prefix is fixed per provenance: `imported_export_`, `view_export_`, `fresh_export_`.\n5. The exported SSA name is fixed per provenance: `%m` for the imported case, `%view` for the cast case, `%slot` for the allocation case; no other names are generated for the export.\n6. Every graph emits the same fixed six-operand non-memory preamble in the same order with the same names and types: `%start: none, %lb: i64, %ub: i64, %step: i64, %i: index, %c: i1, %v: i32` \u2014 note the generator writes seven such operands while declaring the segment count as six, and this discrepancy is emitted verbatim in every program.\n7. The memory operand, when present, is always named `%m` and always immediately follows the preamble on its own continuation line.\n8. Element type is always `i32` and shapes are drawn only from `memref<?xi32>` and `memref<4xi32>`; no other element types, ranks, layouts, or memory spaces are generated, and the static extent is always 4.\n9. The allocation form is always written as `memref.alloc()` with no dynamic sizes, no alignment attribute, and a static `memref<4xi32>` result.\n10. The loaded value is always bound to the fixed name `%loaded`, the loop induction variable to `%iv`, and the casted index to `%idx`; these names are reused identically in every graph, and because each graph is a separate region this never collides.\n11. Loop bounds and step are always the graph's `%lb`, `%ub`, `%step` operands rather than materialized constants, so no `arith.constant` ever appears.\n12. The `plain` shape emits exactly one top-level store followed by one top-level load; the `cond` shape wraps only the store in `scf.if %c` and keeps the load outside; the `loop` shape puts the index cast and store inside `scf.for` and keeps the load outside, always indexing the outside load with `%i` rather than a loop-derived index.\n13. Implicit region terminators are used: neither `scf.if` nor `scf.for` regions have an explicit `scf.yield` written out.\n14. Attribute dictionaries are always emitted in the fixed order `input_segments` then `result_segments`, split across two lines with the same indentation pattern in every graph.\n15. Formatting is fixed and uniform: two spaces of indentation for graph headers and the closing brace, four spaces for top-level body operations, six spaces for operations inside an `scf` region, six spaces for signature continuation lines, and eight spaces for the wrapped `memories(...)` line of the return.\n16. No randomly generated identifiers, regex-derived terminals, or numeric literals other than the graph index and the fixed extent 4 appear anywhere in the output.",
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