{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:N4IW5UDGQ63GK2M2OTPGSRDMQP","short_pith_number":"pith:N4IW5UDG","schema_version":"1.0","canonical_sha256":"6f116ed06687b665699a74de69446c83ce0f09c47a777f3786992fb5a62270b8","source":{"kind":"arxiv","id":"1905.03651","version":1},"attestation_state":"computed","paper":{"title":"On the Expressivity and Applicability of Model Representation Formalisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Andreas Teucke, Christoph Weidenbach, Marco Voigt","submitted_at":"2019-05-09T14:23:16Z","abstract_excerpt":"A number of first-order calculi employ an explicit model representation formalism for automated reasoning and for detecting satisfiability. Many of these formalisms can represent infinite Herbrand models. The first-order fragment of monadic, shallow, linear, Horn (MSLH) clauses, is such a formalism used in the approximation refinement calculus. Our first result is a finite model property for MSLH clause sets. Therefore, MSLH clause sets cannot represent models of clause sets with inherently infinite models. Through a translation to tree automata, we further show that this limitation also appli"},"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":"1905.03651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-05-09T14:23:16Z","cross_cats_sorted":[],"title_canon_sha256":"623da967d36754a81c3adb659fd26b4b333b9ca0e3ccb54dbf339678221ad182","abstract_canon_sha256":"784c535f9aacc3478063440668a4aa1ca85c9850467d2cfcae2dca0aedbe85fe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:37.083443Z","signature_b64":"Ks7nXvwiLiHmdvz7qSrY0TTDPSkUc3/bVJNOjtHrgDDopm9TULiOlyzPHzWuCJTm7y+19ZAfstQ+lWgdwfSFDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f116ed06687b665699a74de69446c83ce0f09c47a777f3786992fb5a62270b8","last_reissued_at":"2026-05-17T23:46:37.082963Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:37.082963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Expressivity and Applicability of Model Representation Formalisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Andreas Teucke, Christoph Weidenbach, Marco Voigt","submitted_at":"2019-05-09T14:23:16Z","abstract_excerpt":"A number of first-order calculi employ an explicit model representation formalism for automated reasoning and for detecting satisfiability. Many of these formalisms can represent infinite Herbrand models. The first-order fragment of monadic, shallow, linear, Horn (MSLH) clauses, is such a formalism used in the approximation refinement calculus. Our first result is a finite model property for MSLH clause sets. Therefore, MSLH clause sets cannot represent models of clause sets with inherently infinite models. Through a translation to tree automata, we further show that this limitation also appli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.03651","kind":"arxiv","version":1},"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":"1905.03651","created_at":"2026-05-17T23:46:37.083030+00:00"},{"alias_kind":"arxiv_version","alias_value":"1905.03651v1","created_at":"2026-05-17T23:46:37.083030+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.03651","created_at":"2026-05-17T23:46:37.083030+00:00"},{"alias_kind":"pith_short_12","alias_value":"N4IW5UDGQ63G","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"N4IW5UDGQ63GK2M2","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"N4IW5UDG","created_at":"2026-05-18T12:33:24.271573+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/N4IW5UDGQ63GK2M2OTPGSRDMQP","json":"https://pith.science/pith/N4IW5UDGQ63GK2M2OTPGSRDMQP.json","graph_json":"https://pith.science/api/pith-number/N4IW5UDGQ63GK2M2OTPGSRDMQP/graph.json","events_json":"https://pith.science/api/pith-number/N4IW5UDGQ63GK2M2OTPGSRDMQP/events.json","paper":"https://pith.science/paper/N4IW5UDG"},"agent_actions":{"view_html":"https://pith.science/pith/N4IW5UDGQ63GK2M2OTPGSRDMQP","download_json":"https://pith.science/pith/N4IW5UDGQ63GK2M2OTPGSRDMQP.json","view_paper":"https://pith.science/paper/N4IW5UDG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1905.03651&json=true","fetch_graph":"https://pith.science/api/pith-number/N4IW5UDGQ63GK2M2OTPGSRDMQP/graph.json","fetch_events":"https://pith.science/api/pith-number/N4IW5UDGQ63GK2M2OTPGSRDMQP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N4IW5UDGQ63GK2M2OTPGSRDMQP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N4IW5UDGQ63GK2M2OTPGSRDMQP/action/storage_attestation","attest_author":"https://pith.science/pith/N4IW5UDGQ63GK2M2OTPGSRDMQP/action/author_attestation","sign_citation":"https://pith.science/pith/N4IW5UDGQ63GK2M2OTPGSRDMQP/action/citation_signature","submit_replication":"https://pith.science/pith/N4IW5UDGQ63GK2M2OTPGSRDMQP/action/replication_record"}},"created_at":"2026-05-17T23:46:37.083030+00:00","updated_at":"2026-05-17T23:46:37.083030+00:00"}