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A function, or the symbol representing a function, which corresponds to English conjunctions such as "and," "or," "not," etc. that takes one or more truth values as input and returns a single truth value as output. The terms "logical connective" and "propositional connective" (Mendelson 1997, p. 13) are also used. The following table summarizes some common connectives and their notations.
connective | symbol |
AND | |
equivalent | |
implies | |
NAND | |
nonequivalent | |
NOR | |
NOT | |
OR | |
XNOR | |
XOR |
REFERENCES
Mendelson, E. Introduction to Mathematical Logic, 4th ed. London: Chapman & Hall, 1997.
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