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We list a few equations satisfied by the algebra $\\mathcal I(A)=(I(A),0,1,\\mathsf{i},\\neg,\\Delta,\\nabla,\\oplus,\\odot)$, call IMV-algebra eve"},"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":"1403.0932","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2014-03-04T20:33:01Z","cross_cats_sorted":[],"title_canon_sha256":"a0a3759afe87c194d3cca4d6f938f67b3463eac688af2ed097b5e0849599f0f1","abstract_canon_sha256":"9d2b5d8d19d5a89e5e8e49782d7cf42921f8ae1316c022fba8caf0dfd38b8e9d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:15.253782Z","signature_b64":"4h+WXbeiaSc8M65N0SrKQ03o8K5zN/EevwPqwo0NriEuRy8nip25BqdHzYD4NMs9S+F+wGJ2LTShke3O3WHhBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c4845c2c2a2bad935b8429d606b867a4def83cfb8b7574fc656f1e55a6d4857","last_reissued_at":"2026-05-18T02:57:15.253082Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:15.253082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interval MV-algebras and generalizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Daniele Mundici, Leonardo Manuel Cabrer","submitted_at":"2014-03-04T20:33:01Z","abstract_excerpt":"For any MV-algebra $A$ we equip the set $I(A)$ of intervals in $A$ with pointwise \\L ukasiewicz negation $\\neg x=\\{\\neg \\alpha\\mid \\alpha\\in x\\}$, (truncated) Minkowski sum, $x\\oplus y=\\{\\alpha\\oplus \\beta\\mid \\alpha \\in x,\\,\\,\\beta\\in y\\}$, pointwise \\L ukasiewicz conjunction $x\\odot y=\\neg(\\neg x\\oplus \\neg y)$, the operators $\\Delta x=[\\min x,\\min x]$, $\\nabla x=[\\max x,\\max x]$, and distinguished constants $0=[0,0],\\,\\, 1=[1,1],\\,\\,\\, \\mathsf{i} = A$. 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