{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:POQBPFQDUDTLXALOOEMGWI2QIE","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"eb924a8e2cb4e1c1c8d675085a7563172d4da7319a17fa4c84897dafbbaabfdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-27T21:19:45Z","title_canon_sha256":"4e8e6588b707b35566e9753b1c5e293e2ab1e70e8421f8e69746515ab8dcf55e"},"schema_version":"1.0","source":{"id":"1604.08248","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.08248","created_at":"2026-05-18T01:16:04Z"},{"alias_kind":"arxiv_version","alias_value":"1604.08248v1","created_at":"2026-05-18T01:16:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.08248","created_at":"2026-05-18T01:16:04Z"},{"alias_kind":"pith_short_12","alias_value":"POQBPFQDUDTL","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"POQBPFQDUDTLXALO","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"POQBPFQD","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:257e4b73bfd1aae885425c7bbd21fcaf7fcf1838207a35189a00db606606e482","target":"graph","created_at":"2026-05-18T01:16:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We introduce a linear infinitary $\\lambda$-calculus, called $\\ell\\Lambda_{\\infty}$, in which two exponential modalities are available, the first one being the usual, finitary one, the other being the only construct interpreted coinductively. The obtained calculus embeds the infinitary applicative $\\lambda$-calculus and is universal for computations over infinite strings. What is particularly interesting about $\\ell\\Lambda_{\\infty}$, is that the refinement induced by linear logic allows to restrict both modalities so as to get calculi which are terminating inductively and productive coinductive","authors_text":"Ugo Dal Lago","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-27T21:19:45Z","title":"Infinitary $\\lambda$-Calculi from a Linear Perspective (Long Version)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.08248","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8364f4427cb76be96f29795719a5ecd8db5a3e2c3215eb9e9d67e0cb643dc31a","target":"record","created_at":"2026-05-18T01:16:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"eb924a8e2cb4e1c1c8d675085a7563172d4da7319a17fa4c84897dafbbaabfdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-27T21:19:45Z","title_canon_sha256":"4e8e6588b707b35566e9753b1c5e293e2ab1e70e8421f8e69746515ab8dcf55e"},"schema_version":"1.0","source":{"id":"1604.08248","kind":"arxiv","version":1}},"canonical_sha256":"7ba0179603a0e6bb816e71186b23504104f3ec616cee7fe5a7819cb46302502b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ba0179603a0e6bb816e71186b23504104f3ec616cee7fe5a7819cb46302502b","first_computed_at":"2026-05-18T01:16:04.483133Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:04.483133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TwM67OsMNJCLvxlv/LWQPUNqRs5Vij/CHlwd0iNLd6yGzaqCqnyivhhwFax5m6aPhpz7gN6IPN97A/9/QMEYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:04.483854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.08248","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8364f4427cb76be96f29795719a5ecd8db5a3e2c3215eb9e9d67e0cb643dc31a","sha256:257e4b73bfd1aae885425c7bbd21fcaf7fcf1838207a35189a00db606606e482"],"state_sha256":"bbd364c43c7e6c76f440d0dc6a25283e03260ae88b2b61255c697df1defdd6ec"}