{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:TQ5BUEVMXRCFQECJWGBAHY2RVE","short_pith_number":"pith:TQ5BUEVM","schema_version":"1.0","canonical_sha256":"9c3a1a12acbc44581049b18203e351a915d9cd2aa97615571f4102044f0bf3b3","source":{"kind":"arxiv","id":"1104.2803","version":6},"attestation_state":"computed","paper":{"title":"Sound and complete axiomatizations of coalgebraic language equivalence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"cs.LO","authors_text":"Alexandra Silva, Marcello M. Bonsangue, Stefan Milius","submitted_at":"2011-04-14T15:31:07Z","abstract_excerpt":"Coalgebras provide a uniform framework to study dynamical systems, including several types of automata. In this paper, we make use of the coalgebraic view on systems to investigate, in a uniform way, under which conditions calculi that are sound and complete with respect to behavioral equivalence can be extended to a coarser coalgebraic language equivalence, which arises from a generalised powerset construction that determinises coalgebras. We show that soundness and completeness are established by proving that expressions modulo axioms of a calculus form the rational fixpoint of the given typ"},"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":"1104.2803","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2011-04-14T15:31:07Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"c1f4fda8525b3a4fe1c7abab4f19f8f8de911fd7449a684ff368419287dd36bf","abstract_canon_sha256":"5b98a9a5f8609d40182e23293029523b732f80fcae2ad34ff7ef6794ceac5319"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:33.427441Z","signature_b64":"hYM5nSWSsNRJhD3rAZoeUNVOEG55Ou/l+PzNgx0LrCa5lYTZBxE/4SvJ8ksFsSi0Px1YHagoZZsN5plGShDVAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c3a1a12acbc44581049b18203e351a915d9cd2aa97615571f4102044f0bf3b3","last_reissued_at":"2026-05-18T00:48:33.426677Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:33.426677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sound and complete axiomatizations of coalgebraic language equivalence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"cs.LO","authors_text":"Alexandra Silva, Marcello M. Bonsangue, Stefan Milius","submitted_at":"2011-04-14T15:31:07Z","abstract_excerpt":"Coalgebras provide a uniform framework to study dynamical systems, including several types of automata. In this paper, we make use of the coalgebraic view on systems to investigate, in a uniform way, under which conditions calculi that are sound and complete with respect to behavioral equivalence can be extended to a coarser coalgebraic language equivalence, which arises from a generalised powerset construction that determinises coalgebras. We show that soundness and completeness are established by proving that expressions modulo axioms of a calculus form the rational fixpoint of the given typ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.2803","kind":"arxiv","version":6},"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":"1104.2803","created_at":"2026-05-18T00:48:33.426805+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.2803v6","created_at":"2026-05-18T00:48:33.426805+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.2803","created_at":"2026-05-18T00:48:33.426805+00:00"},{"alias_kind":"pith_short_12","alias_value":"TQ5BUEVMXRCF","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"TQ5BUEVMXRCFQECJ","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"TQ5BUEVM","created_at":"2026-05-18T12:26:42.757692+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/TQ5BUEVMXRCFQECJWGBAHY2RVE","json":"https://pith.science/pith/TQ5BUEVMXRCFQECJWGBAHY2RVE.json","graph_json":"https://pith.science/api/pith-number/TQ5BUEVMXRCFQECJWGBAHY2RVE/graph.json","events_json":"https://pith.science/api/pith-number/TQ5BUEVMXRCFQECJWGBAHY2RVE/events.json","paper":"https://pith.science/paper/TQ5BUEVM"},"agent_actions":{"view_html":"https://pith.science/pith/TQ5BUEVMXRCFQECJWGBAHY2RVE","download_json":"https://pith.science/pith/TQ5BUEVMXRCFQECJWGBAHY2RVE.json","view_paper":"https://pith.science/paper/TQ5BUEVM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.2803&json=true","fetch_graph":"https://pith.science/api/pith-number/TQ5BUEVMXRCFQECJWGBAHY2RVE/graph.json","fetch_events":"https://pith.science/api/pith-number/TQ5BUEVMXRCFQECJWGBAHY2RVE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TQ5BUEVMXRCFQECJWGBAHY2RVE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TQ5BUEVMXRCFQECJWGBAHY2RVE/action/storage_attestation","attest_author":"https://pith.science/pith/TQ5BUEVMXRCFQECJWGBAHY2RVE/action/author_attestation","sign_citation":"https://pith.science/pith/TQ5BUEVMXRCFQECJWGBAHY2RVE/action/citation_signature","submit_replication":"https://pith.science/pith/TQ5BUEVMXRCFQECJWGBAHY2RVE/action/replication_record"}},"created_at":"2026-05-18T00:48:33.426805+00:00","updated_at":"2026-05-18T00:48:33.426805+00:00"}