{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3ZFM5N2NUXHAS75IQN7JCLR6CV","short_pith_number":"pith:3ZFM5N2N","schema_version":"1.0","canonical_sha256":"de4aceb74da5ce097fa8837e912e3e157a29e68707a3bf98e946bb2b1163f2be","source":{"kind":"arxiv","id":"1401.4596","version":1},"attestation_state":"computed","paper":{"title":"Unfounded Sets and Well-Founded Semantics of Answer Set Programs with Aggregates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LO","authors_text":"Francesco Calimeri, Mario Alviano, Nicola Leone, Simona Perri, Wolfgang Faber","submitted_at":"2014-01-18T21:05:13Z","abstract_excerpt":"Logic programs with aggregates (LPA) are one of the major linguistic extensions to Logic Programming (LP). In this work, we propose a generalization of the notions of unfounded set and well-founded semantics for programs with monotone and antimonotone aggregates (LPAma programs). In particular, we present a new notion of unfounded set for LPAma programs, which is a sound generalization of the original definition for standard (aggregate-free) LP. On this basis, we define a well-founded operator for LPAma programs, the fixpoint of which is called well-founded model (or well-founded semantics) fo"},"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":"1401.4596","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-01-18T21:05:13Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"35ea5d0c68a4bcf38797d82798a702a2828fa116a5375e26dc1ee60b7f895b8c","abstract_canon_sha256":"028015b336e9dd74e5efa95e8a5eaa98795de5887494dc5546c081b7d01fffd9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:45.322239Z","signature_b64":"Xr4z9glma0G39Rfogquo2M+mfkDPkM+o6oxGhVXwXgTFftnVGUXuU2WJBl5m6cOYPuKt+L0qCtMCTYdz6HVDCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de4aceb74da5ce097fa8837e912e3e157a29e68707a3bf98e946bb2b1163f2be","last_reissued_at":"2026-05-18T03:01:45.321651Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:45.321651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unfounded Sets and Well-Founded Semantics of Answer Set Programs with Aggregates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LO","authors_text":"Francesco Calimeri, Mario Alviano, Nicola Leone, Simona Perri, Wolfgang Faber","submitted_at":"2014-01-18T21:05:13Z","abstract_excerpt":"Logic programs with aggregates (LPA) are one of the major linguistic extensions to Logic Programming (LP). In this work, we propose a generalization of the notions of unfounded set and well-founded semantics for programs with monotone and antimonotone aggregates (LPAma programs). In particular, we present a new notion of unfounded set for LPAma programs, which is a sound generalization of the original definition for standard (aggregate-free) LP. On this basis, we define a well-founded operator for LPAma programs, the fixpoint of which is called well-founded model (or well-founded semantics) fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4596","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":"1401.4596","created_at":"2026-05-18T03:01:45.321743+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.4596v1","created_at":"2026-05-18T03:01:45.321743+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.4596","created_at":"2026-05-18T03:01:45.321743+00:00"},{"alias_kind":"pith_short_12","alias_value":"3ZFM5N2NUXHA","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3ZFM5N2NUXHAS75I","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3ZFM5N2N","created_at":"2026-05-18T12:28:11.866339+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/3ZFM5N2NUXHAS75IQN7JCLR6CV","json":"https://pith.science/pith/3ZFM5N2NUXHAS75IQN7JCLR6CV.json","graph_json":"https://pith.science/api/pith-number/3ZFM5N2NUXHAS75IQN7JCLR6CV/graph.json","events_json":"https://pith.science/api/pith-number/3ZFM5N2NUXHAS75IQN7JCLR6CV/events.json","paper":"https://pith.science/paper/3ZFM5N2N"},"agent_actions":{"view_html":"https://pith.science/pith/3ZFM5N2NUXHAS75IQN7JCLR6CV","download_json":"https://pith.science/pith/3ZFM5N2NUXHAS75IQN7JCLR6CV.json","view_paper":"https://pith.science/paper/3ZFM5N2N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.4596&json=true","fetch_graph":"https://pith.science/api/pith-number/3ZFM5N2NUXHAS75IQN7JCLR6CV/graph.json","fetch_events":"https://pith.science/api/pith-number/3ZFM5N2NUXHAS75IQN7JCLR6CV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3ZFM5N2NUXHAS75IQN7JCLR6CV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3ZFM5N2NUXHAS75IQN7JCLR6CV/action/storage_attestation","attest_author":"https://pith.science/pith/3ZFM5N2NUXHAS75IQN7JCLR6CV/action/author_attestation","sign_citation":"https://pith.science/pith/3ZFM5N2NUXHAS75IQN7JCLR6CV/action/citation_signature","submit_replication":"https://pith.science/pith/3ZFM5N2NUXHAS75IQN7JCLR6CV/action/replication_record"}},"created_at":"2026-05-18T03:01:45.321743+00:00","updated_at":"2026-05-18T03:01:45.321743+00:00"}