Maximal Three-Valued Clones with the Gupta-Belnap Fixed-Point Property

Notre Dame Journal of Formal Logic 48 (4):449-472 (2007)
This paper gives a propositional reformulation of the fixed - point problem posed by Gupta and Belnap, using the stipulation logic of Visser. After presenting a solution for clones of three-valued operators that include the constant functions, I determine the maximal three-valued clones with constants that have the fixed - point property, giving different characterizations of them.
Keywords three-valued propositional logic   clone   fixed-point property
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DOI 10.1305/ndjfl/1193667704
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