{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:S6ZKEHQWSO2YGMNWAS6TLSRD2Q","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":"867102381fed99e7ebff27b297b1cc605069c9f5d62b7db6fcacdec612174da9","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-04-24T07:28:02Z","title_canon_sha256":"cf87234d3e7837dd861f92c61b78bf6af92130cea9ab2faa0b60d79d98196b55"},"schema_version":"1.0","source":{"id":"1504.06409","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06409","created_at":"2026-05-18T00:32:55Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06409v3","created_at":"2026-05-18T00:32:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06409","created_at":"2026-05-18T00:32:55Z"},{"alias_kind":"pith_short_12","alias_value":"S6ZKEHQWSO2Y","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"S6ZKEHQWSO2YGMNW","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"S6ZKEHQW","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:b41b6237405f02fb2e4945c94b520033d88f281616be130a6eb8fa359fe3f199","target":"graph","created_at":"2026-05-18T00:32:55Z","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 investigate the computational complexity of the satisfiability problem of modal inclusion logic. We distinguish two variants of the problem: one for the strict and another one for the lax semantics. Both problems turn out to be EXPTIME-complete on general structures. Finally, we show how for a specific class of structures NEXPTIME-completeness for these problems under strict semantics can be achieved.","authors_text":"Antti Kuusisto, Arne Meier, Heribert Vollmer, Lauri Hella","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-04-24T07:28:02Z","title":"Satisfiability of Modal Inclusion Logic: Lax and Strict Semantics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06409","kind":"arxiv","version":3},"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:b46b65822cce146752f2e9bbea50f5b882d017ddfce998743130536af6897121","target":"record","created_at":"2026-05-18T00:32:55Z","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":"867102381fed99e7ebff27b297b1cc605069c9f5d62b7db6fcacdec612174da9","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2015-04-24T07:28:02Z","title_canon_sha256":"cf87234d3e7837dd861f92c61b78bf6af92130cea9ab2faa0b60d79d98196b55"},"schema_version":"1.0","source":{"id":"1504.06409","kind":"arxiv","version":3}},"canonical_sha256":"97b2a21e1693b58331b604bd35ca23d421bc2c688f264fca780657f0fae4953c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97b2a21e1693b58331b604bd35ca23d421bc2c688f264fca780657f0fae4953c","first_computed_at":"2026-05-18T00:32:55.739189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:55.739189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"67ccEdYC33xv8NkGNqnqplXEe6ipOX1f+CFrDoCX+Cey+eTCQWIvWM0mvXtgFZlLo9hyxI0+4LlEAWQF7wXBBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:55.739848Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.06409","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b46b65822cce146752f2e9bbea50f5b882d017ddfce998743130536af6897121","sha256:b41b6237405f02fb2e4945c94b520033d88f281616be130a6eb8fa359fe3f199"],"state_sha256":"4d9d8ea39fd32de4177d06b86e44be51d47d6c28eefae4bd94f1903a29acf60d"}