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In practice, however, real-world ontologies are often incomplete, which pose challenges for reasoning. In this work, we focus on a fundamental subsumption reasoning problem: given an incomplete ontology and a candidate (non-entailed) subsumption, determine whether the subsumption is semantically plausible and, if so, providing a logically sound explanation containing potential missing axioms. This task unifies subsumption verification with ontology abduction, and generalizes the latter by removing the need for a predefined candidate set of missing axioms. To address this subsumption reasoning problem, we propose NeurOWL, an end-to-end neuro-symbolic framework that jointly performs verification and abduction, leveraging both formally defined semantics and tex","title":"NeurOWL: An LLM-Based Neural-symbolic Framework for Incomplete OWL Ontology Reasoning","url":"https://arxiv.org/abs/2607.15776","vendor":"arxiv_cs_ai"},"summary":"arXiv:2607.15776v1 Announce Type: new \nAbstract: OWL ontologies provide a formal knowledge representation framework that enables semantic reasoning, and have been widely adopted across domains such as healthcare and bioinformatics. In practice, however, real-world ontologies are often incomplete, which pose challenges for reasoning. 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To address this subsumption reasoning problem, we propose NeurOWL, an end-to-end neuro-symbolic framework that jointly performs verification and abduction, leveraging both formally defined semantics and tex","title":"NeurOWL: An LLM-Based Neural-symbolic Framework for Incomplete OWL Ontology Reasoning","vendor":"arxiv_cs_ai"},"confidence":{"method":"deterministic"},"decision":"POSITIVE","issued_at":"2026-07-20T04:43:09Z","notes":"Spider vendor_press (news) news.vendor_press.v1","object":{"captured_by":"crovia.spider.vendor_press","primary_source_url":"https://arxiv.org/abs/2607.15776"},"predecessors":[],"schema":"crovia.axiom.v1","signature":"ed25519:849657120c5edfcd59e15a4499e84ef2fcd22c005d4bc8f1715579e59c9dc166a30fe51b60d9aee5411681241431780eb06de7a67a0d824ee654cd5e2b4b0906","signer":"crovia.substrate","subject":{"observed_at":"2026-07-20T04:43:09Z","source_collector":"spider:vendor_press","target_id":"https://arxiv.org/abs/2607.15776"},"tsa":{"authority":"crovia.substrate.bootstrap","rfc3161_token":"{\"kind\":\"crovia.bootstrap.tsa\",\"source_jsonl\":\"/opt/crovia/spider/data/news/vendor_press_v1.jsonl\",\"source_seal_merkle_root\":\"spider_vendor_press_v1\",\"upgrade_path\":\"Sessione H \\u2014 OpenTimestamps weekly anchor\"}"},"zk_mode":"clear","zk_proof":null},"ledger":{"leaf_hash":"2fa189c6ffaa3a5b2bb20965ced3cd8516a3e317e00731f86e12cef59d5a4135","leaf_index":333244,"ledger_path":"/opt/crovia/substrate/axiom_ledger.jsonl"},"merkle_proof":{"hash_alg":"sha256","leaf_prefix":"0x00","node_prefix":"0x01","odd_leaf_rule":"duplicate_last","path":[{"sibling":"67ffb794d972d67703f4b4e60455928c8fb993c4b86f2f15c985f477fcd3f9f7","side":"right"},{"sibling":"213fde8676696a178ce03f43bf31ad323cc5d679637cab10302beacc1944dcb8","side":"right"},{"sibling":"6051369914936f26a77cb9280f3d11d4936d680917f4cf6695cc201798606e97","side":"left"},{"sibling":"0f11ee409ed156cdf31deb0e9a970ea2ce1ed191e98d1f37c802972d3d87ea14","side":"left"},{"sibling":"bae2e69e6a658a964d8a226d03f74ee6d51af14bfefe5bdb9a28c13da8a34a2e","side":"left"},{"sibling":"c498ca63dfb4140aca826e9aa02081a1f160508f424a00f8754f668150a422b2","side":"left"},{"sibling":"1c1eae4bcf76cdef09630f53290dbde3bf8b1015085bf72726a6fb8f907bb8c8","side":"right"},{"sibling":"5e895feb6aeddb3dac892d493e1de271cf5bb255124626b8ae869ebb57ff0c74","side":"left"},{"sibling":"089fcaa13823a284a9c3064c9de337dded31410d6f89ef3761586a5e77c18ff1","side":"left"},{"sibling":"b0d667e95f8746ac275ad4169634f2e9442cd7e445099c6355bed5e0b9e27cbf","side":"right"},{"sibling":"dedd2da92d9447ddf1b1db68fe20109a426ed18359861ed746907ac820021a8d","side":"left"},{"sibling":"a1c43cc7cd9c775fac33940ee5124aece01596733f003fc53743f43483f9f597","side":"right"},{"sibling":"b5ad3eafd7eeb74c063261356fdd9bf6059ee6d0bf1e3c70e60731b394a5536e","side":"left"},{"sibling":"93e399d152203db688c6a5a58d25131205603504f5b79123a1f2b5a5ed9c1e54","side":"right"},{"sibling":"b6e0cad7f6eb9107f0edd276f1a9942635d8cd6d60d2a97e7daac08b110dc209","side":"right"},{"sibling":"80ec062e7e625dc3f9bb5865cb5198696bbec2608e48abae5670677b90695899","side":"right"},{"sibling":"77025bcb374a7ad74f520643e20a8ae1205a7ee78507b0beb93117760f1c29d3","side":"left"},{"sibling":"0aced6f0c9dec3e6cc9e89b68b70f5f8ce7e1eb13606d92db1917b76e57393c7","side":"right"},{"sibling":"1cecb7f447febd025aac272837c80de218aecc6485d2395a509b2a1f1b9c746e","side":"left"}]},"schema":"crovia.axiom_proof.v1","seal":{"first_collector_run_id":"","first_receipt_hash":"","jsonl_path":"/opt/crovia/substrate/axiom_ledger.jsonl","key_id":"430895f101d38164","last_collector_run_id":"","last_receipt_hash":"","leaf_count":333540,"merkle_root":"ee60f62b8a724dd9bde638d638caf32cefec4440f832018b457ff47a0ec56a8c","public_key_hex":"cf742e26f75669dc673cb5c0786a1ae23ae8ca19c347317192ce40c28a7ff25c","run_id":"hourly_json_retrofit_20260720T053701Z","schema":"crovia.seal.v1","seal_family_version":"crovia-seal-family/1","seal_kind":"substrate_batch","sealed_at":"2026-07-20T05:38:36Z","sig_algorithm":"ed25519","signature":"82a3787e628bfab19c377d875220e1aaedfc498736c545f4708a1b887e8398afdf306995994493a36c864ff7139a2d436b905ce7081aaa540789aa4f707dc800","signer_version":"1.1.0"},"trust_root":{"key_id":"430895f101d38164","public_key_hex":"cf742e26f75669dc673cb5c0786a1ae23ae8ca19c347317192ce40c28a7ff25c","signature_algorithm":"ed25519","url":"/registry/canon/TRUST_ROOT.md"},"verifier":{"spec":"/registry/canon/AXIOM_RECEIPT_v1.md","url":"/v/axm_df574eb6669f20b8651b359f2cc0aafc158b73e05bd1ecea863f21662b605f23"}}