Under Relevance Theory, the inference that Barb won't attend is a contextual implication constructed by Alan's cognitive system, not a determinate intention Barb necessarily encoded.
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determinate(Contrasted with determinables; taken to be independently posited in the causal/ontological economy)
A maximally specific instance of a determinable property (e.g., scarlet as a determinate of red)
inference(Nyāya epistemology)
A component of epistemology in Nyāya philosophy; a veritable inference yields knowledge about the world and must have premises that are themselves known