{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:QHBETCEU6KK6UTF4WYYJHW47Z3","short_pith_number":"pith:QHBETCEU","schema_version":"1.0","canonical_sha256":"81c2498894f295ea4cbcb63093db9fcecdee4041306754f59ea16fb3af72daaf","source":{"kind":"arxiv","id":"cs/0411097","version":2},"attestation_state":"computed","paper":{"title":"Deterministic Bayesian Logic","license":"","headline":"","cross_cats":["math.LO","math.PR"],"primary_cat":"cs.LO","authors_text":"Frederic Dambreville (DGA/CTA/DT/GIP)","submitted_at":"2004-11-29T07:06:56Z","abstract_excerpt":"In this paper a conditional logic is defined and studied. This conditional logic, Deterministic Bayesian Logic, is constructed as a deterministic counterpart to the (probabilistic) Bayesian conditional. The logic is unrestricted, so that any logical operations are allowed. This logic is shown to be non-trivial and is not reduced to classical propositions. The Bayesian conditional of DBL implies a definition of logical independence. Interesting results are derived about the interactions between the logical independence and the proofs. A model is constructed for the logic. Completeness results a"},"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":"cs/0411097","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cs.LO","submitted_at":"2004-11-29T07:06:56Z","cross_cats_sorted":["math.LO","math.PR"],"title_canon_sha256":"6dc6fa0f2345531264c44ee785464dd45a4523d703adab57efc6381bff0860d1","abstract_canon_sha256":"c3c01cb2818ca786ffbca4c177dce5866e8a8909d2dd327f3b85774ba963fee2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:54.217936Z","signature_b64":"La4pMx5MsG/ZJmEQlszESclwl0BE6SuEGOYP9dJSt5aFZthRQgO/jcggHFieEAzInrZFnXGBAJwtYhyUb7plBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81c2498894f295ea4cbcb63093db9fcecdee4041306754f59ea16fb3af72daaf","last_reissued_at":"2026-05-18T04:08:54.217479Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:54.217479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deterministic Bayesian Logic","license":"","headline":"","cross_cats":["math.LO","math.PR"],"primary_cat":"cs.LO","authors_text":"Frederic Dambreville (DGA/CTA/DT/GIP)","submitted_at":"2004-11-29T07:06:56Z","abstract_excerpt":"In this paper a conditional logic is defined and studied. This conditional logic, Deterministic Bayesian Logic, is constructed as a deterministic counterpart to the (probabilistic) Bayesian conditional. The logic is unrestricted, so that any logical operations are allowed. This logic is shown to be non-trivial and is not reduced to classical propositions. The Bayesian conditional of DBL implies a definition of logical independence. Interesting results are derived about the interactions between the logical independence and the proofs. A model is constructed for the logic. Completeness results a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cs/0411097","kind":"arxiv","version":2},"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":"cs/0411097","created_at":"2026-05-18T04:08:54.217555+00:00"},{"alias_kind":"arxiv_version","alias_value":"cs/0411097v2","created_at":"2026-05-18T04:08:54.217555+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cs/0411097","created_at":"2026-05-18T04:08:54.217555+00:00"},{"alias_kind":"pith_short_12","alias_value":"QHBETCEU6KK6","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"QHBETCEU6KK6UTF4","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"QHBETCEU","created_at":"2026-05-18T12:25:52.687210+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/QHBETCEU6KK6UTF4WYYJHW47Z3","json":"https://pith.science/pith/QHBETCEU6KK6UTF4WYYJHW47Z3.json","graph_json":"https://pith.science/api/pith-number/QHBETCEU6KK6UTF4WYYJHW47Z3/graph.json","events_json":"https://pith.science/api/pith-number/QHBETCEU6KK6UTF4WYYJHW47Z3/events.json","paper":"https://pith.science/paper/QHBETCEU"},"agent_actions":{"view_html":"https://pith.science/pith/QHBETCEU6KK6UTF4WYYJHW47Z3","download_json":"https://pith.science/pith/QHBETCEU6KK6UTF4WYYJHW47Z3.json","view_paper":"https://pith.science/paper/QHBETCEU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cs/0411097&json=true","fetch_graph":"https://pith.science/api/pith-number/QHBETCEU6KK6UTF4WYYJHW47Z3/graph.json","fetch_events":"https://pith.science/api/pith-number/QHBETCEU6KK6UTF4WYYJHW47Z3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QHBETCEU6KK6UTF4WYYJHW47Z3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QHBETCEU6KK6UTF4WYYJHW47Z3/action/storage_attestation","attest_author":"https://pith.science/pith/QHBETCEU6KK6UTF4WYYJHW47Z3/action/author_attestation","sign_citation":"https://pith.science/pith/QHBETCEU6KK6UTF4WYYJHW47Z3/action/citation_signature","submit_replication":"https://pith.science/pith/QHBETCEU6KK6UTF4WYYJHW47Z3/action/replication_record"}},"created_at":"2026-05-18T04:08:54.217555+00:00","updated_at":"2026-05-18T04:08:54.217555+00:00"}