Connective
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 |
XNOR |
XOR |
, |
REFERENCES:
Mendelson, E. Introduction to Mathematical Logic, 4th ed. London: Chapman & Hall, 1997.