The value of the four values
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Publication:1274293
DOI10.1016/S0004-3702(98)00032-0zbMath0928.03025OpenAlexW1995375207MaRDI QIDQ1274293
Publication date: 12 January 1999
Published in: Artificial Intelligence (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0004-3702(98)00032-0
uncertaintyparaconsistencyreasoninginconsistencythree-valued logicsfour-valued logicsbilattice-valued logicsfour-valued inference relationsGinsberg's bilatticesmultiple-valued systemspreferential logics
Logic in artificial intelligence (68T27) Reasoning under uncertainty in the context of artificial intelligence (68T37) Other algebras related to logic (03G25) Many-valued logic (03B50) Paraconsistent logics (03B53)
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Cites Work
- A logic for reasoning with inconsistency
- Reasoning about truth
- Seventy-five problems for testing automatic theorem provers
- On interpretation of inconsistent theories
- Circumscription - a form of non-monotonic reasoning
- The mathematics of non-monotonic reasoning
- Nonmonotonic reasoning, preferential models and cumulative logics
- Minimally inconsistent LP
- Paraconsistent disjunctive deductive databases
- Rationality, transitivity, and contraposition
- What does a conditional knowledge base entail?
- A model-theoretic approach for recovering consistent data from inconsistent knowledge bases
- Nonmonotonic logics. Basic concepts, results, and techniques
- Reasoning with logical bilattices
- Evidential bilattice logic and lexical inference
- On the theory of inconsistent formal systems
- Natural 3-valued logics—characterization and proof theory
- Bilattices and the semantics of logic programming
- Kleene's Logic, Generalized
- The family of stable models
- Note on a six-valued extension of three-valued logic
- The structure of interlaced bilattices
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