logic-foundations / Paraconsistent logic and foundations

Signed Depth Relevance of subDL

subDL satisfies the signed depth relevance property, answering an open question posed by Øgaard (2026). More precisely, every valid inference in subDL contains a propositional variable that occurs in both the premises and conclusion with matching sign and at matching implicational depth.

7Significance / 100
1Frontier events
0Verification tasks
0Recorded attempts

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logic-foundationsAug 4, 2026Significance 7/100Registry: unreviewed

Signed Depth Relevance of subDL

Prior state unknown→proved

subDL satisfies the signed depth relevance property, answering an open question posed by Øgaard (2026). More precisely, every valid inference in subDL contains a propositional variable that occurs in both the premises and conclusion with matching sign and at matching implicational depth.

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subDL satisfies the signed depth relevance property, answering an open question posed by Øgaard (2026). More precisely, every valid inference in subDL contains a propositional variable that occurs in both the premises and conclusion with matching sign and at matching implicational depth.

subDL satisfies the signed depth relevance property, answering an open question posed by Øgaard (2026). More precisely, every valid inference in subDL contains a propositional variable that occurs in both the premises and conclusion with matching sign and at matching implicational depth.

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Connected research record

Signed Depth Relevance of subDL — Mathematical Frontier Network