{"paper":{"title":"The Semantics of Rank Polymorphism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.PL","authors_text":"Justin Slepak, Olin Shivers, Panagiotis Manolios","submitted_at":"2019-07-01T01:42:53Z","abstract_excerpt":"Iverson's APL and its descendants (such as J, K and FISh) are examples of the family of \"rank-polymorphic\" programming languages. The principal control mechanism of such languages is the general lifting of functions that operate on arrays of rank (or dimension) $r$ to operate on arrays of any higher rank $r' > r$. We present a core, functional language, Remora, that captures this mechanism, and develop both a formal, dynamic semantics for the language, and an accompanying static, rank-polymorphic type system for the language. Critically, the static semantics captures the shape-based lifting me"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.00509","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}