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

José Martínez Fernández · Notre Dame Journal of Formal Logic · 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.

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