{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:BRASYLDHGZLOXZK57R7LHPSTA5","short_pith_number":"pith:BRASYLDH","schema_version":"1.0","canonical_sha256":"0c412c2c673656ebe55dfc7eb3be53074f3e640ef74e6fdad00f4a1e02a7dd38","source":{"kind":"arxiv","id":"2602.19102","version":2},"attestation_state":"computed","paper":{"title":"Table-based Quantifier Elimination","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Pierre Carbonnelle","submitted_at":"2026-02-22T09:23:42Z","abstract_excerpt":"Quantifiers make first-order logic more expressive than propositional logic, but they also make solving satisfiability problems more difficult. To solve these problems efficiently, many techniques have been developed to eliminate quantifiers from logic formulas: model-based quantifier instantiation, E-matching, Skolemization, destructive equality resolution, ...\n  I propose a table-based instantiation method for quantifier elimination. It can be used to solve satisfiability problems for \"guarded\" formulas, i.e., formulas where the use of defined functions in the matrix of quantifications effec"},"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":"2602.19102","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2026-02-22T09:23:42Z","cross_cats_sorted":[],"title_canon_sha256":"2b2b791a12fee8dcb2989c7e00a6be081312c5119348baa0d129b7f67ebe4fd2","abstract_canon_sha256":"6dec746023a99a846d5baee758a342ea5977ab2faf1f92e861cc7574b968474c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-25T01:18:37.084526Z","signature_b64":"a2HchVmQQ1uuANzeNqRgLBI0Zbf+YVnxovu8cwDsH6X0AJdbADsGiwpwjPk2+lzP5ANEh+hhPKuNEpL79Cw6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c412c2c673656ebe55dfc7eb3be53074f3e640ef74e6fdad00f4a1e02a7dd38","last_reissued_at":"2026-06-25T01:18:37.084020Z","signature_status":"signed_v1","first_computed_at":"2026-06-25T01:18:37.084020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Table-based Quantifier Elimination","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Pierre Carbonnelle","submitted_at":"2026-02-22T09:23:42Z","abstract_excerpt":"Quantifiers make first-order logic more expressive than propositional logic, but they also make solving satisfiability problems more difficult. To solve these problems efficiently, many techniques have been developed to eliminate quantifiers from logic formulas: model-based quantifier instantiation, E-matching, Skolemization, destructive equality resolution, ...\n  I propose a table-based instantiation method for quantifier elimination. It can be used to solve satisfiability problems for \"guarded\" formulas, i.e., formulas where the use of defined functions in the matrix of quantifications effec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.19102","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2602.19102/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2602.19102","created_at":"2026-06-25T01:18:37.084114+00:00"},{"alias_kind":"arxiv_version","alias_value":"2602.19102v2","created_at":"2026-06-25T01:18:37.084114+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.19102","created_at":"2026-06-25T01:18:37.084114+00:00"},{"alias_kind":"pith_short_12","alias_value":"BRASYLDHGZLO","created_at":"2026-06-25T01:18:37.084114+00:00"},{"alias_kind":"pith_short_16","alias_value":"BRASYLDHGZLOXZK5","created_at":"2026-06-25T01:18:37.084114+00:00"},{"alias_kind":"pith_short_8","alias_value":"BRASYLDH","created_at":"2026-06-25T01:18:37.084114+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/BRASYLDHGZLOXZK57R7LHPSTA5","json":"https://pith.science/pith/BRASYLDHGZLOXZK57R7LHPSTA5.json","graph_json":"https://pith.science/api/pith-number/BRASYLDHGZLOXZK57R7LHPSTA5/graph.json","events_json":"https://pith.science/api/pith-number/BRASYLDHGZLOXZK57R7LHPSTA5/events.json","paper":"https://pith.science/paper/BRASYLDH"},"agent_actions":{"view_html":"https://pith.science/pith/BRASYLDHGZLOXZK57R7LHPSTA5","download_json":"https://pith.science/pith/BRASYLDHGZLOXZK57R7LHPSTA5.json","view_paper":"https://pith.science/paper/BRASYLDH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2602.19102&json=true","fetch_graph":"https://pith.science/api/pith-number/BRASYLDHGZLOXZK57R7LHPSTA5/graph.json","fetch_events":"https://pith.science/api/pith-number/BRASYLDHGZLOXZK57R7LHPSTA5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BRASYLDHGZLOXZK57R7LHPSTA5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BRASYLDHGZLOXZK57R7LHPSTA5/action/storage_attestation","attest_author":"https://pith.science/pith/BRASYLDHGZLOXZK57R7LHPSTA5/action/author_attestation","sign_citation":"https://pith.science/pith/BRASYLDHGZLOXZK57R7LHPSTA5/action/citation_signature","submit_replication":"https://pith.science/pith/BRASYLDHGZLOXZK57R7LHPSTA5/action/replication_record"}},"created_at":"2026-06-25T01:18:37.084114+00:00","updated_at":"2026-06-25T01:18:37.084114+00:00"}