{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WOONR4CBLNTMIFCTGPIFY3DRPJ","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":"7c0b10b3a59fc210f41030494fc9c849187b9b551f300ed1cb52cc13d4bd394a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-06-21T22:10:14Z","title_canon_sha256":"799b613cd1425f7640623d778ce6e97c8c6b7244d309905de733eaa80350dd86"},"schema_version":"1.0","source":{"id":"1306.5264","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5264","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5264v1","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5264","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"pith_short_12","alias_value":"WOONR4CBLNTM","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WOONR4CBLNTMIFCT","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WOONR4CB","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:c151418b801cae3cf2d88a7cc05604b0ec032bfa16e766ea1b612c013c5e2250","target":"graph","created_at":"2026-05-18T03:20:08Z","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 report on work in progress on automatic procedures for proving properties of programs written in higher-order functional languages. Our approach encodes higher-order programs directly as first-order SMT problems over Horn clauses. It is straight-forward to reduce Hoare-style verification of first-order programs into satisfiability of Horn clauses. The presence of closures offers several challenges: relatively complete proof systems have to account for closures; and in practice, the effectiveness of search procedures depend on encoding strategies and capabilities of underlying solvers. We he","authors_text":"Andrey Rybalchenko, Ken McMillan, Nikolaj Bjorner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-06-21T22:10:14Z","title":"Higher-order Program Verification as Satisfiability Modulo Theories with Algebraic Data-types"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5264","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":"sha256:09784becb9c15fc79756c22162496f83366b622a97829dacbe960cca0cc4b7dc","target":"record","created_at":"2026-05-18T03:20:08Z","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":"7c0b10b3a59fc210f41030494fc9c849187b9b551f300ed1cb52cc13d4bd394a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-06-21T22:10:14Z","title_canon_sha256":"799b613cd1425f7640623d778ce6e97c8c6b7244d309905de733eaa80350dd86"},"schema_version":"1.0","source":{"id":"1306.5264","kind":"arxiv","version":1}},"canonical_sha256":"b39cd8f0415b66c4145333d05c6c717a6a5cfedc4da71be65f27ad3285f37646","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b39cd8f0415b66c4145333d05c6c717a6a5cfedc4da71be65f27ad3285f37646","first_computed_at":"2026-05-18T03:20:08.674239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:08.674239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xv4aneP41xyhtaH7kYwD/xVOTYQAhn7xrYrVpt/rva37zF7590kGwKE2mlBKvk9OI6r9zBfsn4s4oVR5zO/fBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:08.674877Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5264","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09784becb9c15fc79756c22162496f83366b622a97829dacbe960cca0cc4b7dc","sha256:c151418b801cae3cf2d88a7cc05604b0ec032bfa16e766ea1b612c013c5e2250"],"state_sha256":"540162dca0bb7165e3ea04006635eef12bb5121186c54e13c07280cde4a9fbc3"}