1 Introduction The aim of this paper is to prove the strong completeness theorem for a system based on Kleene's strong three-valued logic.
The present work, which was inspired by Kripke and McCarthy, is about a non-classical predicate logic system containing a truth predicate symbol.
Jan 23, 2012 · In the context of some recent work, we have been defining a language based on a three-valued logic à la Kleene, where 1 stands for true, 0 for ...
The Strong Completeness of a System for Kleene's Three-Valued Logic · John T. Kearns · Published in Mathematical Logic Quarterly 1979 · Mathematics.
Feb 18, 2012 · In detail: The logic is Kleene's K3 with the operations ¬,∧,∨ and a fourth univariate operation ∗ defined as ∗T=F,∗N=T,∗F=N. The question asks ...
Oct 22, 2024 · We introduce Kleene's 3-valued logic in a language containing, besides the Boolean connectives, a constant n for the undefined truth value, ...
Jul 19, 2023 · That paper is A set theory based on a certain 3-valued logic. He basically uses what most today would call the strong Kleene three-valued logic.
In this paper, we proposed strong Kleene's three-valued logic with a natural deduction system called K3RSL. To describe a semantics for RSL, we introduce a ...
We introduce Kleene's 3-valued logic in a language containing, besides the Boolean connectives, a constant for the undefined truth value, so in developing ...
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Apr 25, 2000 · Many-valued logics are non-classical logics. They are similar to classical logic because they accept the principle of truth-functionality.