{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:EEWX7G5PTFRXV5CGODRWF3NXHQ","short_pith_number":"pith:EEWX7G5P","schema_version":"1.0","canonical_sha256":"212d7f9baf99637af44670e362edb73c0587defb2cfdd30b1c73419523b23fe1","source":{"kind":"arxiv","id":"1407.7803","version":2},"attestation_state":"computed","paper":{"title":"A Sequent Calculus for Dynamic Topological Logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"math.LO","authors_text":"Samuel Reid","submitted_at":"2014-07-25T20:44:02Z","abstract_excerpt":"We introduce a sequent calculus for the temporal-over-topological fragment $\\textbf{DTL}_{0}^{\\circ * \\slash \\Box}$ of dynamic topological logic $\\textbf{DTL}$, prove soundness semantically, and prove completeness syntactically using the axiomatization of $\\textbf{DTL}_{0}^{\\circ * \\slash \\Box}$ given in \\cite{paper3}. A cut-free sequent calculus for $\\textbf{DTL}_{0}^{\\circ * \\slash \\Box}$ is obtained as the union of the propositional fragment of Gentzen's classical sequent calculus, two $\\Box$ structural rules for the modal extension, and nine $\\circ$ (next) and $*$ (henceforth) structural r"},"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":"1407.7803","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-07-25T20:44:02Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"66ae55f9d25790dbc50d1be9be6bbab4e730842840f5c29574a5df5426223ff7","abstract_canon_sha256":"bc2375c5d693023215dae1e4aabb56e41754b7b22fda0bd6e838e6ddc7490764"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:57.499362Z","signature_b64":"hhs0sTA5jRK10OYebCQZ/6fLATNWzd+HuIKtkDEdsJMJGhZnL77D2QDngoJ8HQpbgngJGQTut/tcWi8N24lZCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"212d7f9baf99637af44670e362edb73c0587defb2cfdd30b1c73419523b23fe1","last_reissued_at":"2026-05-18T02:45:57.498870Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:57.498870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Sequent Calculus for Dynamic Topological Logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"math.LO","authors_text":"Samuel Reid","submitted_at":"2014-07-25T20:44:02Z","abstract_excerpt":"We introduce a sequent calculus for the temporal-over-topological fragment $\\textbf{DTL}_{0}^{\\circ * \\slash \\Box}$ of dynamic topological logic $\\textbf{DTL}$, prove soundness semantically, and prove completeness syntactically using the axiomatization of $\\textbf{DTL}_{0}^{\\circ * \\slash \\Box}$ given in \\cite{paper3}. A cut-free sequent calculus for $\\textbf{DTL}_{0}^{\\circ * \\slash \\Box}$ is obtained as the union of the propositional fragment of Gentzen's classical sequent calculus, two $\\Box$ structural rules for the modal extension, and nine $\\circ$ (next) and $*$ (henceforth) structural r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7803","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":"1407.7803","created_at":"2026-05-18T02:45:57.498949+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.7803v2","created_at":"2026-05-18T02:45:57.498949+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7803","created_at":"2026-05-18T02:45:57.498949+00:00"},{"alias_kind":"pith_short_12","alias_value":"EEWX7G5PTFRX","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"EEWX7G5PTFRXV5CG","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"EEWX7G5P","created_at":"2026-05-18T12:28:25.294606+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/EEWX7G5PTFRXV5CGODRWF3NXHQ","json":"https://pith.science/pith/EEWX7G5PTFRXV5CGODRWF3NXHQ.json","graph_json":"https://pith.science/api/pith-number/EEWX7G5PTFRXV5CGODRWF3NXHQ/graph.json","events_json":"https://pith.science/api/pith-number/EEWX7G5PTFRXV5CGODRWF3NXHQ/events.json","paper":"https://pith.science/paper/EEWX7G5P"},"agent_actions":{"view_html":"https://pith.science/pith/EEWX7G5PTFRXV5CGODRWF3NXHQ","download_json":"https://pith.science/pith/EEWX7G5PTFRXV5CGODRWF3NXHQ.json","view_paper":"https://pith.science/paper/EEWX7G5P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.7803&json=true","fetch_graph":"https://pith.science/api/pith-number/EEWX7G5PTFRXV5CGODRWF3NXHQ/graph.json","fetch_events":"https://pith.science/api/pith-number/EEWX7G5PTFRXV5CGODRWF3NXHQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EEWX7G5PTFRXV5CGODRWF3NXHQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EEWX7G5PTFRXV5CGODRWF3NXHQ/action/storage_attestation","attest_author":"https://pith.science/pith/EEWX7G5PTFRXV5CGODRWF3NXHQ/action/author_attestation","sign_citation":"https://pith.science/pith/EEWX7G5PTFRXV5CGODRWF3NXHQ/action/citation_signature","submit_replication":"https://pith.science/pith/EEWX7G5PTFRXV5CGODRWF3NXHQ/action/replication_record"}},"created_at":"2026-05-18T02:45:57.498949+00:00","updated_at":"2026-05-18T02:45:57.498949+00:00"}