How about the reverse, You've had a bunch of problems

How about the reverse

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You've had a bunch of problems where, given a logical formula, you can writedown the truth table. How about the reverse? That is, if I give you a truth table, canyou always come up with a formula that would give you exactly that truth table?How might you do that?

A set S of logical connectives is called universal if for any statement using allthe connectives we know (i.e. { ¬, ∨, ∧, →, ↔, }) there is a logically equivalentstatement using only the connectives in S.1. Prove or disprove: The set {¬, ∨, ∧} is universal2. Prove or disprove: The set {¬, ∨} is universal

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How about the reverse : You've had a bunch of problems where, given a logical formula, you can writedown the truth table. How about the reverse? That is, if I give you a truth table, canyou always come up with a formula that would give you exactly that truth table?How might..

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