{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PRRH652KUOHG7KGCRH7QHXEHPS","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":"9682bf04905f24c815f25fd635f4af28ceca09fa058cd2dfe4153beb530fec53","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2026-06-18T21:16:59Z","title_canon_sha256":"b222c7b5f5940d9781fe02c02b1a706e77ef3f05639e0559c4c45914f9701fe7"},"schema_version":"1.0","source":{"id":"2606.20944","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.20944","created_at":"2026-06-23T01:12:22Z"},{"alias_kind":"arxiv_version","alias_value":"2606.20944v1","created_at":"2026-06-23T01:12:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.20944","created_at":"2026-06-23T01:12:22Z"},{"alias_kind":"pith_short_12","alias_value":"PRRH652KUOHG","created_at":"2026-06-23T01:12:22Z"},{"alias_kind":"pith_short_16","alias_value":"PRRH652KUOHG7KGC","created_at":"2026-06-23T01:12:22Z"},{"alias_kind":"pith_short_8","alias_value":"PRRH652K","created_at":"2026-06-23T01:12:22Z"}],"graph_snapshots":[{"event_id":"sha256:cd38c06d0726027582cb2fa78f0796c4a657d702247a792cb0e1e23c36f2b8a4","target":"graph","created_at":"2026-06-23T01:12:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.20944/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The concepts of big-step and small-step derivations are familiar from the operational semantics of programming languages. These concepts are applicable in the more general setting of Horn clause derivations. We prove equivalence between big-step derivations and two versions of small-step derivations for Horn clauses. By specialising interpreters for these derivation strategies, any set of Horn clauses can be transformed into a provably equivalent set of clauses that inherits the behaviour of a given (big- or small-step) Horn clause interpreter. As a special case of this transformation, big-ste","authors_text":"John P. Gallagher, Jos\\'e Morales, Louis Rustenholz, Manuel Hermenegildo, Pedro Lopez-Garcia","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2026-06-18T21:16:59Z","title":"Big-step and small-step Horn clause derivations applied to operational semantics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.20944","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:e971ba89f57c3cddf2ae8a2be3ea69874487107e9154edd44580e75a7ebea366","target":"record","created_at":"2026-06-23T01:12:22Z","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":"9682bf04905f24c815f25fd635f4af28ceca09fa058cd2dfe4153beb530fec53","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.PL","submitted_at":"2026-06-18T21:16:59Z","title_canon_sha256":"b222c7b5f5940d9781fe02c02b1a706e77ef3f05639e0559c4c45914f9701fe7"},"schema_version":"1.0","source":{"id":"2606.20944","kind":"arxiv","version":1}},"canonical_sha256":"7c627f774aa38e6fa8c289ff03dc877c896aeb904b019396dfe1f6ffa1d41974","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c627f774aa38e6fa8c289ff03dc877c896aeb904b019396dfe1f6ffa1d41974","first_computed_at":"2026-06-23T01:12:22.790139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:12:22.790139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CrjYNZpJhj+QwceT/kKid7ZQt+vs+7A5cVRaH6atLEpASf5tJPRzpOb8VvJpIitzsvm3CaAPhN/AihvLBqtVCg==","signature_status":"signed_v1","signed_at":"2026-06-23T01:12:22.790599Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.20944","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e971ba89f57c3cddf2ae8a2be3ea69874487107e9154edd44580e75a7ebea366","sha256:cd38c06d0726027582cb2fa78f0796c4a657d702247a792cb0e1e23c36f2b8a4"],"state_sha256":"53c1a580359ab183232999181b88df2df7e63c90c310129e2699248bfc7dc283"}