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Residuated Lattices as an Algebraic Semantics for Paraconsistent Nelson's Logic

https://doi.org/10.1093/logcom/exp028
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00401557openalex-snapshot
Nelson algebras through Heyting ones: I
inferredcites →https://doi.org/10.1007/bf02121118openalex-snapshot
Notes on N-lattices and constructive logic with strong negation
inferredcites →https://doi.org/10.1007/s11225-005-8472-9openalex-snapshot
The Class of Extensions of Nelson's Paraconsistent Logic
inferredcites →https://doi.org/10.1007/s11225-006-8311-7openalex-snapshot
Minimal Varieties of Involutive Residuated Lattices
inferredcites →https://doi.org/10.1007/s11225-008-9113-xopenalex-snapshot
Constructive Logic with Strong Negation is a Substructural Logic. I
inferredcites →https://doi.org/10.1007/s11225-008-9138-1openalex-snapshot
Constructive Logic with Strong Negation is a Substructural Logic. II
inferredcites →https://doi.org/10.1016/s0049-237x(07)x8002-9openalex-snapshot
Residuated Lattices: An Algebraic Glimpse at Substructural Logics
inferredcites →https://doi.org/10.1023/b:stud.0000032104.14199.08openalex-snapshot
On the Representation of N4-Lattices
inferredcites →https://doi.org/10.1023/b:stud.0000037126.29193.09openalex-snapshot
Adding Involution to Residuated Structures
inferredcites →https://doi.org/10.1093/logcom/13.4.453openalex-snapshot
Algebraic Semantics for Paraconsistent Nelson's Logic
inferredcites →https://doi.org/10.1093/logcom/exn081openalex-snapshot
Constructive Logic with Strong Negation as a Substructural Logic
inferredcites →https://doi.org/10.1142/s0218196702001048openalex-snapshot
THE STRUCTURE OF COMMUTATIVE RESIDUATED LATTICES

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-319-15368-1_22openalex-snapshot
Belnap Constants and Nelson Logic
inferred← citeshttps://doi.org/10.1007/978-3-319-33205-5_5openalex-snapshot
LFIs Based on Other Logics
inferred← citeshttps://doi.org/10.1007/s00012-014-0265-4openalex-snapshot
The subvariety of commutative residuated lattices represented by twist-products
inferred← citeshttps://doi.org/10.1007/s00012-014-0272-5openalex-snapshot
Implicative twist-structures
inferred← citeshttps://doi.org/10.1007/s00153-024-00961-2openalex-snapshot
The algebra of ordinary discourse. On the semantics of Cooper’s logic
inferred← citeshttps://doi.org/10.1007/s00153-025-00969-2openalex-snapshot
An algebraic investigation of Linear Logic
inferred← citeshttps://doi.org/10.1007/s00500-011-0752-xopenalex-snapshot
Residuated bilattices
inferred← citeshttps://doi.org/10.1007/s10992-011-9185-3openalex-snapshot
Partially Undetermined Many-Valued Events and Their Conditional Probability
inferred← citeshttps://doi.org/10.1007/s11225-022-09988-zopenalex-snapshot
Twist Structures and Nelson Conuclei
inferred← citeshttps://doi.org/10.1007/s11225-023-10088-9openalex-snapshot
Nelson Conuclei and Nuclei: The Twist Construction Beyond Involutivity
inferred← citeshttps://doi.org/10.1016/j.apal.2018.05.002openalex-snapshot
Logic for abstract hoop twist-structures
inferred← citeshttps://doi.org/10.1016/j.entcs.2011.10.014openalex-snapshot
Paraconsistent Modal Logics
inferred← citeshttps://doi.org/10.1016/j.fss.2021.08.020openalex-snapshot
Varieties of K-lattices
inferred← citeshttps://doi.org/10.1016/j.fss.2022.03.021openalex-snapshot
Prelinearity in (quasi-)Nelson logic
inferred← citeshttps://doi.org/10.1016/j.jal.2016.05.006openalex-snapshot
Hoop twist-structures
inferred← citeshttps://doi.org/10.1016/j.jpaa.2012.02.006openalex-snapshot
A category equivalence for odd Sugihara monoids and its applications
inferred← citeshttps://doi.org/10.1017/s1755020319000121openalex-snapshot
BELNAP–DUNN MODAL LOGICS: TRUTH CONSTANTS VS. TRUTH VALUES
inferred← citeshttps://doi.org/10.1080/11663081.2024.2336386openalex-snapshot
Nelson algebras, residuated lattices and rough sets: A survey
inferred← citeshttps://doi.org/10.1090/s0002-9947-2014-06072-8openalex-snapshot
Idempotent residuated structures: Some category equivalences and their applications
inferred← citeshttps://doi.org/10.1093/jigpal/jzt043openalex-snapshot
Modal twist-structures over residuated lattices
inferred← citeshttps://doi.org/10.1093/logcom/exab029openalex-snapshot
Logics of formal inconsistency based on distributive involutive residuated lattices
inferred← citeshttps://doi.org/10.1093/logcom/exx002openalex-snapshot
OUP accepted manuscript
inferred← citeshttps://doi.org/10.1590/s0100-60452011000100005openalex-snapshot
Remarks on an algebraic semantics for paraconsistent Nelson's logic
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