{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:F4HX22N23HK2HCSH4HJNJLSZMJ","short_pith_number":"pith:F4HX22N2","schema_version":"1.0","canonical_sha256":"2f0f7d69bad9d5a38a47e1d2d4ae5962690367cdf17e7a716f162b68d3e05c82","source":{"kind":"arxiv","id":"1012.3828","version":3},"attestation_state":"computed","paper":{"title":"The model checking problem for intuitionistic propositional logic with one variable is AC1-complete","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.CC","authors_text":"Felix Weiss, Martin Mundhenk","submitted_at":"2010-12-17T08:46:44Z","abstract_excerpt":"We show that the model checking problem for intuitionistic propositional logic with one variable is complete for logspace-uniform AC1. As basic tool we use the connection between intuitionistic logic and Heyting algebra, and investigate its complexity theoretical aspects. For superintuitionistic logics with one variable, we obtain NC1-completeness for the model checking problem."},"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":"1012.3828","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"cs.CC","submitted_at":"2010-12-17T08:46:44Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"63029cd99b9bcec984e600742ed9b55f75484712ba890a7fda5a12627423a6c2","abstract_canon_sha256":"b33a773e64f36c7f86744e4301e504d4940412747d2d60f991cf78da47da71a4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:05.651590Z","signature_b64":"xyzyfmKievdtN0gqQu8QOqfrNI/ByvFQiH9b+Bpwe29iOA2kR1nGSG0FM4QwDMHAmtkqd88Hh7XHm1tQwo06AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f0f7d69bad9d5a38a47e1d2d4ae5962690367cdf17e7a716f162b68d3e05c82","last_reissued_at":"2026-05-18T04:13:05.651114Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:05.651114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The model checking problem for intuitionistic propositional logic with one variable is AC1-complete","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.CC","authors_text":"Felix Weiss, Martin Mundhenk","submitted_at":"2010-12-17T08:46:44Z","abstract_excerpt":"We show that the model checking problem for intuitionistic propositional logic with one variable is complete for logspace-uniform AC1. As basic tool we use the connection between intuitionistic logic and Heyting algebra, and investigate its complexity theoretical aspects. For superintuitionistic logics with one variable, we obtain NC1-completeness for the model checking problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3828","kind":"arxiv","version":3},"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":"1012.3828","created_at":"2026-05-18T04:13:05.651177+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.3828v3","created_at":"2026-05-18T04:13:05.651177+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3828","created_at":"2026-05-18T04:13:05.651177+00:00"},{"alias_kind":"pith_short_12","alias_value":"F4HX22N23HK2","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_16","alias_value":"F4HX22N23HK2HCSH","created_at":"2026-05-18T12:26:06.534383+00:00"},{"alias_kind":"pith_short_8","alias_value":"F4HX22N2","created_at":"2026-05-18T12:26:06.534383+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/F4HX22N23HK2HCSH4HJNJLSZMJ","json":"https://pith.science/pith/F4HX22N23HK2HCSH4HJNJLSZMJ.json","graph_json":"https://pith.science/api/pith-number/F4HX22N23HK2HCSH4HJNJLSZMJ/graph.json","events_json":"https://pith.science/api/pith-number/F4HX22N23HK2HCSH4HJNJLSZMJ/events.json","paper":"https://pith.science/paper/F4HX22N2"},"agent_actions":{"view_html":"https://pith.science/pith/F4HX22N23HK2HCSH4HJNJLSZMJ","download_json":"https://pith.science/pith/F4HX22N23HK2HCSH4HJNJLSZMJ.json","view_paper":"https://pith.science/paper/F4HX22N2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.3828&json=true","fetch_graph":"https://pith.science/api/pith-number/F4HX22N23HK2HCSH4HJNJLSZMJ/graph.json","fetch_events":"https://pith.science/api/pith-number/F4HX22N23HK2HCSH4HJNJLSZMJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F4HX22N23HK2HCSH4HJNJLSZMJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F4HX22N23HK2HCSH4HJNJLSZMJ/action/storage_attestation","attest_author":"https://pith.science/pith/F4HX22N23HK2HCSH4HJNJLSZMJ/action/author_attestation","sign_citation":"https://pith.science/pith/F4HX22N23HK2HCSH4HJNJLSZMJ/action/citation_signature","submit_replication":"https://pith.science/pith/F4HX22N23HK2HCSH4HJNJLSZMJ/action/replication_record"}},"created_at":"2026-05-18T04:13:05.651177+00:00","updated_at":"2026-05-18T04:13:05.651177+00:00"}