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    "result": "This postcondition quantifies only over the output program: it selects every operation in `output.operations` named `dataflow.graph` that also has at least one transitive descendant named `dataflow.stream`, and for each such graph it universally quantifies over that graph's memory actors \u2014 every descendant named `dataflow.load` or `dataflow.store`. For each such actor it asserts an existential over the graph's `dataflow.carry` descendants: there must be one carry `k` such that (a) some result of the actor whose type is exactly `none` reaches `k.results[0]`, and (b) `k.results[0]` reaches some operand of the actor whose type is exactly `none`. Reachability is the transitive (non-reflexive) closure of `token_flow`, which is the intra-graph edge relation pairing each operand of any descendant operation of that graph with each result of that same operation, so paths are chains of operand\u2192result steps linked by SSA value identity; at least one such step is required in each direction, and no edges leave the graph's descendant set. The only values it inspects are SSA operands and results and their types compared against the literal `none` type; no attributes, names other than the four listed, operand segments, block arguments, or symbol references are consulted, and the `input` program is never referenced. It therefore accepts a graph exactly when every load and store in it lies on a directed `none`-token cycle through the first result of some single carry operation, and rejects a graph as soon as one load or store has no `none`-typed result reaching any carry's first result, or no `none`-typed operand reachable from that same carry's first result.\n\nThe obligation is vacuously satisfied when the output contains no `dataflow.graph` operation, when a graph contains no `dataflow.stream` descendant, or when a qualifying graph contains no `dataflow.load` or `dataflow.store` descendants; it is non-vacuous only for a qualifying graph that contains at least one such memory actor. Note also that a qualifying graph containing memory actors but no `dataflow.carry` descendants fails, since the existential over an empty carry sequence is false, and that the check depends on a carry's first result specifically rather than any of its results.",
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