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    "result": "This postcondition quantifies over every operation named `dataflow.graph` anywhere in the output program, then over every `dataflow.graph.return` among that graph's transitive descendants, and finally over the values in that return's operand segments 2 and 3 as decoded from its `operandSegmentSizes`. For each value in segment 2 it requires the value's type kind to be exactly `\"memref\"`, so a segment-2 export of any other type kind (index, none, tensor, and so on) is rejected. Each such export must additionally either be a member of `canonical_roots(g)` itself, or be related by the transitive closure of view edges to some member of that set, where a view edge runs from a `memref.cast` result to each of that cast's operands; because the closure is transitive and not reflexive, the second disjunct demands at least one `memref.cast` step, and only `memref.cast` qualifies \u2014 any other casting, subview, or reinterpreting operation in the chain breaks it and causes rejection, while the closure itself is computed over the whole output program rather than being confined to the enclosing graph. The allowed value sources are exactly two: the entry-block arguments of `g.regions[0].blocks[0]` obtained by dropping `1 + input_segments[0] + input_segments[1]` arguments and taking the next `input_segments[2]`, and the results of any descendant operation of `g` named `memref.alloc` or `dataflow.memory.service`; exports originating from other block-argument positions, from other operations' results, or from allocations outside `g` are rejected. For segment 3, every value present must have type exactly `none`, so any completion operand with a non-`none` type is rejected, while the count of that segment is unconstrained. The three assertions are vacuously satisfied whenever the corresponding collections are empty \u2014 no `dataflow.graph` operations, no `dataflow.graph.return` descendants, an empty export segment, or an empty completion segment all pass with nothing checked. Non-vacuous checking begins only when a graph contains a return whose segment 2 or segment 3 is non-empty. Note also that evaluation depends on the presence of `operandSegmentSizes` on the return and of an `input_segments` dense-integer attribute with at least three entries on the graph; absence of either is an evaluation error rather than an accept or reject.",
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