{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:25TR3ZFUIJRJZLKUVNNH7LYMMX","short_pith_number":"pith:25TR3ZFU","schema_version":"1.0","canonical_sha256":"d7671de4b442629cad54ab5a7faf0c65d2dcc74bf70aa49ace1c3eda593d98aa","source":{"kind":"arxiv","id":"1401.3898","version":1},"attestation_state":"computed","paper":{"title":"First-Order Stable Model Semantics and First-Order Loop Formulas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LO","authors_text":"Joohyung Lee, Yunsong Meng","submitted_at":"2014-01-16T05:18:54Z","abstract_excerpt":"Lin and Zhaos theorem on loop formulas states that in the propositional case the stable model semantics of a logic program can be completely characterized by propositional loop formulas, but this result does not fully carry over to the first-order case. We investigate the precise relationship between the first-order stable model semantics and first-order loop formulas, and study conditions under which the former can be represented by the latter. In order to facilitate the comparison, we extend the definition of a first-order loop formula which was limited to a nondisjunctive program, to a disj"},"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":"1401.3898","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-01-16T05:18:54Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"699bd418da64b1cb51ad0a29c7a5c9f6675e8a343a7caa01ac3a492d2a3c3060","abstract_canon_sha256":"fb10fafd75fc39d5d304c46193038967bfb92f9a3d4e064b26c2a1e6683d6db4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:06.143000Z","signature_b64":"IJC51InFissqlwyx80zm6DhB1FgpZ8XE7BqYVLwU/cA9kQ1/bXaORoG+/zpZKb/P8+qyoDx+g6HttodniX73CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7671de4b442629cad54ab5a7faf0c65d2dcc74bf70aa49ace1c3eda593d98aa","last_reissued_at":"2026-05-18T03:02:06.142430Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:06.142430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"First-Order Stable Model Semantics and First-Order Loop Formulas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LO","authors_text":"Joohyung Lee, Yunsong Meng","submitted_at":"2014-01-16T05:18:54Z","abstract_excerpt":"Lin and Zhaos theorem on loop formulas states that in the propositional case the stable model semantics of a logic program can be completely characterized by propositional loop formulas, but this result does not fully carry over to the first-order case. We investigate the precise relationship between the first-order stable model semantics and first-order loop formulas, and study conditions under which the former can be represented by the latter. In order to facilitate the comparison, we extend the definition of a first-order loop formula which was limited to a nondisjunctive program, to a disj"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3898","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1401.3898","created_at":"2026-05-18T03:02:06.142512+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.3898v1","created_at":"2026-05-18T03:02:06.142512+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3898","created_at":"2026-05-18T03:02:06.142512+00:00"},{"alias_kind":"pith_short_12","alias_value":"25TR3ZFUIJRJ","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"25TR3ZFUIJRJZLKU","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"25TR3ZFU","created_at":"2026-05-18T12:28:09.283467+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/25TR3ZFUIJRJZLKUVNNH7LYMMX","json":"https://pith.science/pith/25TR3ZFUIJRJZLKUVNNH7LYMMX.json","graph_json":"https://pith.science/api/pith-number/25TR3ZFUIJRJZLKUVNNH7LYMMX/graph.json","events_json":"https://pith.science/api/pith-number/25TR3ZFUIJRJZLKUVNNH7LYMMX/events.json","paper":"https://pith.science/paper/25TR3ZFU"},"agent_actions":{"view_html":"https://pith.science/pith/25TR3ZFUIJRJZLKUVNNH7LYMMX","download_json":"https://pith.science/pith/25TR3ZFUIJRJZLKUVNNH7LYMMX.json","view_paper":"https://pith.science/paper/25TR3ZFU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.3898&json=true","fetch_graph":"https://pith.science/api/pith-number/25TR3ZFUIJRJZLKUVNNH7LYMMX/graph.json","fetch_events":"https://pith.science/api/pith-number/25TR3ZFUIJRJZLKUVNNH7LYMMX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/25TR3ZFUIJRJZLKUVNNH7LYMMX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/25TR3ZFUIJRJZLKUVNNH7LYMMX/action/storage_attestation","attest_author":"https://pith.science/pith/25TR3ZFUIJRJZLKUVNNH7LYMMX/action/author_attestation","sign_citation":"https://pith.science/pith/25TR3ZFUIJRJZLKUVNNH7LYMMX/action/citation_signature","submit_replication":"https://pith.science/pith/25TR3ZFUIJRJZLKUVNNH7LYMMX/action/replication_record"}},"created_at":"2026-05-18T03:02:06.142512+00:00","updated_at":"2026-05-18T03:02:06.142512+00:00"}