{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:R4QZC6RVAJJPEBPOGFPYA7JYKO","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":"31e44550935f025c04ad3d87a2c28c5f765aa9c0aceb712b01095713b808fcd7","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-05-14T16:33:50Z","title_canon_sha256":"a27e2a6617a3fb7e05a6140bc3d5327ed34799f727656a3af8caa691beff212e"},"schema_version":"1.0","source":{"id":"1305.3204","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.3204","created_at":"2026-05-18T03:25:36Z"},{"alias_kind":"arxiv_version","alias_value":"1305.3204v1","created_at":"2026-05-18T03:25:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3204","created_at":"2026-05-18T03:25:36Z"},{"alias_kind":"pith_short_12","alias_value":"R4QZC6RVAJJP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"R4QZC6RVAJJPEBPO","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"R4QZC6RV","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:c1656a9d7d01ba521052f0e3f1afc51858aee74b1154a3d36e8cec7647d63cd3","target":"graph","created_at":"2026-05-18T03:25:36Z","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 study two unary fragments of the well-known metric interval temporal logic MITL[U_I,S_I] that was originally proposed by Alur and Henzinger, and we pin down their expressiveness as well as satisfaction complexities. We show that MITL[F_\\inf,P_\\inf] which has unary modalities with only lower-bound constraints is (surprisingly) expressively complete for Partially Ordered 2-Way Deterministic Timed Automata (po2DTA) and the reduction from logic to automaton gives us its NP-complete satisfiability. We also show that the fragment MITL[F_b,P_b] having unary modalities with only bounded intervals h","authors_text":"Paritosh K. Pandya, Simoni S. Shah","cross_cats":["cs.FL"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-05-14T16:33:50Z","title":"The Unary Fragments of Metric Interval Temporal Logic: Bounded versus Lower bound Constraints (Full Version)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3204","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":"sha256:334c8f5e4a6cc74e3f673fbd975fcae6cf6ec672a4a54e97a80b614b9c96a98c","target":"record","created_at":"2026-05-18T03:25:36Z","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":"31e44550935f025c04ad3d87a2c28c5f765aa9c0aceb712b01095713b808fcd7","cross_cats_sorted":["cs.FL"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2013-05-14T16:33:50Z","title_canon_sha256":"a27e2a6617a3fb7e05a6140bc3d5327ed34799f727656a3af8caa691beff212e"},"schema_version":"1.0","source":{"id":"1305.3204","kind":"arxiv","version":1}},"canonical_sha256":"8f21917a350252f205ee315f807d3853a15823daf82ae608aae7fc47d7d80812","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f21917a350252f205ee315f807d3853a15823daf82ae608aae7fc47d7d80812","first_computed_at":"2026-05-18T03:25:36.269417Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:36.269417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dwG8uXweKEMa0PbV61WpRRTT13jH0mbIFWryTp4tXzVc6bExTnNfacW7nIM9U9GwS+HmF7yIpUKghjF/cqWCBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:36.270087Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.3204","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:334c8f5e4a6cc74e3f673fbd975fcae6cf6ec672a4a54e97a80b614b9c96a98c","sha256:c1656a9d7d01ba521052f0e3f1afc51858aee74b1154a3d36e8cec7647d63cd3"],"state_sha256":"c498ae0b34fc24d1a66601714eb90c748886332cd531e74713580b85211b7fc7"}