{"paper":{"title":"Metric Reasoning About $\\lambda$-Terms: The General Case (Long Version)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Rapha\\\"elle Crubill\\'e, Ugo Dal Lago","submitted_at":"2017-01-19T17:38:51Z","abstract_excerpt":"In any setting in which observable properties have a quantitative flavour, it is natural to compare computational objects by way of \\emph{metrics} rather than equivalences or partial orders. This holds, in particular, for probabilistic higher-order programs. A natural notion of comparison, then, becomes context distance, the metric analogue of Morris' context equivalence. In this paper, we analyze the main properties of the context distance in fully-fledged probabilistic $\\lambda$-calculi, this way going beyond the state of the art, in which only affine calculi were considered. We first of all"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.05521","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"}