{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:UPXRTHUQ4DYPQWBEFZ5RRUUQR6","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":"cbae9f9dd44bb8cef9514e0715f56c3068ae6dcd6d7e79f8cd405a64ce053137","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2015-12-22T03:16:34Z","title_canon_sha256":"efdeb7ba6ded675376244acaae98d659cd5bf268988ef18f187cc423878bbef2"},"schema_version":"1.0","source":{"id":"1512.06943","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.06943","created_at":"2026-05-18T01:23:53Z"},{"alias_kind":"arxiv_version","alias_value":"1512.06943v1","created_at":"2026-05-18T01:23:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.06943","created_at":"2026-05-18T01:23:53Z"},{"alias_kind":"pith_short_12","alias_value":"UPXRTHUQ4DYP","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UPXRTHUQ4DYPQWBE","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UPXRTHUQ","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:03b3412d450f699d15d05d866030813e50cfb972340b630e9230be1b3bb3b0f4","target":"graph","created_at":"2026-05-18T01:23:53Z","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":"Recent developments in termination analysis for declarative programs emphasize the use of appropriate models for the logical theory representing the program at stake as a generic approach to prove termination of declarative programs. In this setting, Order-Sorted First-Order Logic provides a powerful framework to represent declarative programs. It also provides a target logic to obtain models for other logics via transformations. We investigate the automatic generation of numerical models for order-sorted first-order logics and its use in program analysis, in particular in termination analysis","authors_text":"Salvador Lucas (DSIC, Spain), Universitat Polit\\`ecnica de Val\\`encia","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2015-12-22T03:16:34Z","title":"Synthesis of models for order-sorted first-order theories using linear algebra and constraint solving"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.06943","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:cc6291e49f6e03b07fa8bb3799550dc63b3d8593625ba1e4977556c26f9edef3","target":"record","created_at":"2026-05-18T01:23:53Z","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":"cbae9f9dd44bb8cef9514e0715f56c3068ae6dcd6d7e79f8cd405a64ce053137","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PL","submitted_at":"2015-12-22T03:16:34Z","title_canon_sha256":"efdeb7ba6ded675376244acaae98d659cd5bf268988ef18f187cc423878bbef2"},"schema_version":"1.0","source":{"id":"1512.06943","kind":"arxiv","version":1}},"canonical_sha256":"a3ef199e90e0f0f858242e7b18d2908faa7d030346b8e649034e9fe989f802eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3ef199e90e0f0f858242e7b18d2908faa7d030346b8e649034e9fe989f802eb","first_computed_at":"2026-05-18T01:23:53.394239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:53.394239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/E7QrpS7za0OSkxKXk2Rrok0C+dwNOPDkCdW7VCn4f6E8v/BxqOvZwJIzOD7cuGkCJ2jIUPfLszm0Kul2ZKBCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:53.394834Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.06943","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc6291e49f6e03b07fa8bb3799550dc63b3d8593625ba1e4977556c26f9edef3","sha256:03b3412d450f699d15d05d866030813e50cfb972340b630e9230be1b3bb3b0f4"],"state_sha256":"17a0c9d6747ab6cdd50c4af01c5507a7552b35ef42b83ff087e4217edbb96b80"}