{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:A3E5WR77T4GDZPKP3WSK2J4PUU","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":"78f09f0682856bc9e77f83cc7f6bf95b2429204024f77eb267ff974ccb7e27cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2014-06-08T20:16:30Z","title_canon_sha256":"087094d14f695eb191138523627ff86201522bbf15b9dbfc769e58c117c3eadc"},"schema_version":"1.0","source":{"id":"1406.2023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2023","created_at":"2026-05-18T02:50:11Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2023v1","created_at":"2026-05-18T02:50:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2023","created_at":"2026-05-18T02:50:11Z"},{"alias_kind":"pith_short_12","alias_value":"A3E5WR77T4GD","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"A3E5WR77T4GDZPKP","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"A3E5WR77","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:eba6f9a0ca62aacb7c1fc7fd5531d5f57dbaf8f60821eae4fffe8e0f6a9809be","target":"graph","created_at":"2026-05-18T02:50:11Z","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 define a notion of rational closure for the logic SHIQ, which does not enjoys the finite model property, building on the notion of rational closure introduced by Lehmann and Magidor in [23]. We provide a semantic characterization of rational closure in SHIQ in terms of a preferential semantics, based on a finite rank characterization of minimal models. We show that the rational closure of a TBox can be computed in EXPTIME using entailment in SHIQ.","authors_text":"Gian Luca Pozzato, Laura Giordano, Nicola Olivetti, Valentina Gliozzi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2014-06-08T20:16:30Z","title":"Rational Closure in SHIQ"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2023","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":"sha256:318d64353545a401ebb3c026d36613f95954de73ca9fda7dca84301a56097b8c","target":"record","created_at":"2026-05-18T02:50:11Z","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":"78f09f0682856bc9e77f83cc7f6bf95b2429204024f77eb267ff974ccb7e27cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2014-06-08T20:16:30Z","title_canon_sha256":"087094d14f695eb191138523627ff86201522bbf15b9dbfc769e58c117c3eadc"},"schema_version":"1.0","source":{"id":"1406.2023","kind":"arxiv","version":1}},"canonical_sha256":"06c9db47ff9f0c3cbd4fdda4ad278fa532d96b6b5a1af421749dd05076cc3535","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06c9db47ff9f0c3cbd4fdda4ad278fa532d96b6b5a1af421749dd05076cc3535","first_computed_at":"2026-05-18T02:50:11.914540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:11.914540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fnX96q56r00hjAuBz5JiwELOSX+gMz7sNmDuY3J0QiIA7mFA4WKvyPcA9osucjgvoymvLm1ybhY7KGH83JSMDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:11.915221Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:318d64353545a401ebb3c026d36613f95954de73ca9fda7dca84301a56097b8c","sha256:eba6f9a0ca62aacb7c1fc7fd5531d5f57dbaf8f60821eae4fffe8e0f6a9809be"],"state_sha256":"99820e169ceac7ccf608918983425c79d4c6d8d192571ce04dc0ba4d8985ebcb"}