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course work2 , Mathematics
(b) The arity of an operator in propositional logic is the number of propositional variables that it
acts on – for example, binary operations (e.g, AND, OR, XOR…) act on two propositions to
give a true or false outcome depending on the values of the two propositions.
(i) There are four possible operations of arity 1. Draw truth tables for each of these four
(ii) How many possible operations are there of arity n?
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