{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MEZIPZR4Q6D7SOKXA5AAK72W2K","short_pith_number":"pith:MEZIPZR4","schema_version":"1.0","canonical_sha256":"613287e63c8787f939570740057f56d29278e668e6d29cf022e5385155148e3c","source":{"kind":"arxiv","id":"1412.2905","version":2},"attestation_state":"computed","paper":{"title":"Satisfiability of ECTL* with tree constraints","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["cs.FL","math.LO"],"primary_cat":"cs.LO","authors_text":"Alexander Kartzow, Claudia Carapelle, Markus Lohrey, Shiguang Feng","submitted_at":"2014-12-09T10:44:03Z","abstract_excerpt":"Recently, we have shown that satisfiability for $\\mathsf{ECTL}^*$ with constraints over $\\mathbb{Z}$ is decidable using a new technique. This approach reduces the satisfiability problem of $\\mathsf{ECTL}^*$ with constraints over some structure A (or class of structures) to the problem whether A has a certain model theoretic property that we called EHD (for \"existence of homomorphisms is decidable\"). Here we apply this approach to concrete domains that are tree-like and obtain several results. We show that satisfiability of $\\mathsf{ECTL}^*$ with constraints is decidable over (i) semi-linear or"},"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":"1412.2905","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"cs.LO","submitted_at":"2014-12-09T10:44:03Z","cross_cats_sorted":["cs.FL","math.LO"],"title_canon_sha256":"91a20b0ee86bba5081a7d16709be05122feb620d4b07c20b040a60103d5ae6ab","abstract_canon_sha256":"9b072e0e3d75490180e2cdba9238838c5292cfcec4888af1b28d3746c4c4b50d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:31.307224Z","signature_b64":"zdmFnTzac6cvKkdecCpVhtJFO1Fwjdsn7TfWoJXFjhyMMW3TlQICY6Yp5yFXOB1bR0IGd/mO0VUObIcqFGMICw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"613287e63c8787f939570740057f56d29278e668e6d29cf022e5385155148e3c","last_reissued_at":"2026-05-18T02:26:31.306771Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:31.306771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Satisfiability of ECTL* with tree constraints","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["cs.FL","math.LO"],"primary_cat":"cs.LO","authors_text":"Alexander Kartzow, Claudia Carapelle, Markus Lohrey, Shiguang Feng","submitted_at":"2014-12-09T10:44:03Z","abstract_excerpt":"Recently, we have shown that satisfiability for $\\mathsf{ECTL}^*$ with constraints over $\\mathbb{Z}$ is decidable using a new technique. This approach reduces the satisfiability problem of $\\mathsf{ECTL}^*$ with constraints over some structure A (or class of structures) to the problem whether A has a certain model theoretic property that we called EHD (for \"existence of homomorphisms is decidable\"). Here we apply this approach to concrete domains that are tree-like and obtain several results. We show that satisfiability of $\\mathsf{ECTL}^*$ with constraints is decidable over (i) semi-linear or"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2905","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":""},"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":"1412.2905","created_at":"2026-05-18T02:26:31.306834+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.2905v2","created_at":"2026-05-18T02:26:31.306834+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2905","created_at":"2026-05-18T02:26:31.306834+00:00"},{"alias_kind":"pith_short_12","alias_value":"MEZIPZR4Q6D7","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MEZIPZR4Q6D7SOKX","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MEZIPZR4","created_at":"2026-05-18T12:28:38.356838+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/MEZIPZR4Q6D7SOKXA5AAK72W2K","json":"https://pith.science/pith/MEZIPZR4Q6D7SOKXA5AAK72W2K.json","graph_json":"https://pith.science/api/pith-number/MEZIPZR4Q6D7SOKXA5AAK72W2K/graph.json","events_json":"https://pith.science/api/pith-number/MEZIPZR4Q6D7SOKXA5AAK72W2K/events.json","paper":"https://pith.science/paper/MEZIPZR4"},"agent_actions":{"view_html":"https://pith.science/pith/MEZIPZR4Q6D7SOKXA5AAK72W2K","download_json":"https://pith.science/pith/MEZIPZR4Q6D7SOKXA5AAK72W2K.json","view_paper":"https://pith.science/paper/MEZIPZR4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.2905&json=true","fetch_graph":"https://pith.science/api/pith-number/MEZIPZR4Q6D7SOKXA5AAK72W2K/graph.json","fetch_events":"https://pith.science/api/pith-number/MEZIPZR4Q6D7SOKXA5AAK72W2K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MEZIPZR4Q6D7SOKXA5AAK72W2K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MEZIPZR4Q6D7SOKXA5AAK72W2K/action/storage_attestation","attest_author":"https://pith.science/pith/MEZIPZR4Q6D7SOKXA5AAK72W2K/action/author_attestation","sign_citation":"https://pith.science/pith/MEZIPZR4Q6D7SOKXA5AAK72W2K/action/citation_signature","submit_replication":"https://pith.science/pith/MEZIPZR4Q6D7SOKXA5AAK72W2K/action/replication_record"}},"created_at":"2026-05-18T02:26:31.306834+00:00","updated_at":"2026-05-18T02:26:31.306834+00:00"}