Year: 2021
Type: preprint
Abstract: We introduce a new representation of non-idempotent intersection types, using \textbf{sequences} (families indexed with natural numbers) instead of lists or multisets. This allows scaling up \textbf{intersection type} theory to the infinitary $λ$-calculus. We thus characterize hereditary head normalization, which gives a positive answer to a question known as \textbf{Klop's Problem}. On our way, we use \textbf{non-idempotent intersection} to retrieve some well-known results on infinitary terms.
Source: arXiv (Cornell University)
Author: Vial, Pierre
Institution: Centre Inria de Saclay
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3132401562