{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ASQB2NMD5PPSEANSFUHDB2ZDJK","short_pith_number":"pith:ASQB2NMD","schema_version":"1.0","canonical_sha256":"04a01d3583ebdf2201b22d0e30eb234aad52e40a23b54d54f1495ee9933fa979","source":{"kind":"arxiv","id":"1704.00272","version":3},"attestation_state":"computed","paper":{"title":"Intersection Types for the lambda-mu Calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Franco Barbanera, Steffen van Bakel, Ugo de'Liguoro","submitted_at":"2017-04-02T09:05:56Z","abstract_excerpt":"We introduce an intersection type system for the lambda-mu calculus that is invariant under subject reduction and expansion. The system is obtained by describing Streicher and Reus's denotational model of continuations in the category of omega-algebraic lattices via Abramsky's domain-logic approach. This provides at the same time an interpretation of the type system and a proof of the completeness of the system with respect to the continuation models by means of a filter model construction. We then define a restriction of our system, such that a lambda-mu term is typeable if and only if it is "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1704.00272","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2017-04-02T09:05:56Z","cross_cats_sorted":[],"title_canon_sha256":"140268fdde109390130a13fad75a95624acb20d118d46c020d2317f001a215f5","abstract_canon_sha256":"a232cb58c0534fa59bf8094313f6723a56982b286997eeee34f77b1128711ddf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:21.656231Z","signature_b64":"aEAA0FddYYTVpE0prHmWFS12a7fSf4fdjwhl26ck16kY91siaBghEIYvKB3LNEJ4PkpRXtFlB/ke83heY1iiAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04a01d3583ebdf2201b22d0e30eb234aad52e40a23b54d54f1495ee9933fa979","last_reissued_at":"2026-05-17T23:51:21.655665Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:21.655665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Intersection Types for the lambda-mu Calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Franco Barbanera, Steffen van Bakel, Ugo de'Liguoro","submitted_at":"2017-04-02T09:05:56Z","abstract_excerpt":"We introduce an intersection type system for the lambda-mu calculus that is invariant under subject reduction and expansion. The system is obtained by describing Streicher and Reus's denotational model of continuations in the category of omega-algebraic lattices via Abramsky's domain-logic approach. This provides at the same time an interpretation of the type system and a proof of the completeness of the system with respect to the continuation models by means of a filter model construction. We then define a restriction of our system, such that a lambda-mu term is typeable if and only if it is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00272","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1704.00272","created_at":"2026-05-17T23:51:21.655785+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.00272v3","created_at":"2026-05-17T23:51:21.655785+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00272","created_at":"2026-05-17T23:51:21.655785+00:00"},{"alias_kind":"pith_short_12","alias_value":"ASQB2NMD5PPS","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"ASQB2NMD5PPSEANS","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"ASQB2NMD","created_at":"2026-05-18T12:31:08.081275+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ASQB2NMD5PPSEANSFUHDB2ZDJK","json":"https://pith.science/pith/ASQB2NMD5PPSEANSFUHDB2ZDJK.json","graph_json":"https://pith.science/api/pith-number/ASQB2NMD5PPSEANSFUHDB2ZDJK/graph.json","events_json":"https://pith.science/api/pith-number/ASQB2NMD5PPSEANSFUHDB2ZDJK/events.json","paper":"https://pith.science/paper/ASQB2NMD"},"agent_actions":{"view_html":"https://pith.science/pith/ASQB2NMD5PPSEANSFUHDB2ZDJK","download_json":"https://pith.science/pith/ASQB2NMD5PPSEANSFUHDB2ZDJK.json","view_paper":"https://pith.science/paper/ASQB2NMD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.00272&json=true","fetch_graph":"https://pith.science/api/pith-number/ASQB2NMD5PPSEANSFUHDB2ZDJK/graph.json","fetch_events":"https://pith.science/api/pith-number/ASQB2NMD5PPSEANSFUHDB2ZDJK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ASQB2NMD5PPSEANSFUHDB2ZDJK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ASQB2NMD5PPSEANSFUHDB2ZDJK/action/storage_attestation","attest_author":"https://pith.science/pith/ASQB2NMD5PPSEANSFUHDB2ZDJK/action/author_attestation","sign_citation":"https://pith.science/pith/ASQB2NMD5PPSEANSFUHDB2ZDJK/action/citation_signature","submit_replication":"https://pith.science/pith/ASQB2NMD5PPSEANSFUHDB2ZDJK/action/replication_record"}},"created_at":"2026-05-17T23:51:21.655785+00:00","updated_at":"2026-05-17T23:51:21.655785+00:00"}