
ABSTRACT The relationship between fuzzy logic and two-valued logic in the context of the first order predicate calculus is discussed. It is proved that if every clause in a set of clauses is something more than a “half-truth” and the most reliable clause has truth-value a and the most unreliable clause has truth-value b , then we are guaranteed that all the logical consequences obtained by repeatedly applying the resolution principle will have truth-value between a and b . The significance of this theorem is also discussed.
Many-valued logic, Nonclassical and second-order set theories, Theorem proving (deduction, resolution, etc.)
Many-valued logic, Nonclassical and second-order set theories, Theorem proving (deduction, resolution, etc.)
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