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Italicize a term on first use (thanks to Todd Morley for the suggestion)
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@ -1181,7 +1181,7 @@ $$\begin{array}{rrcl}
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\underline{\textrm{Variables}} & p \\
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\underline{\textrm{Variables}} & p \\
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\textrm{Formula} & \phi &::=& \top \mid \bot \mid \phi \land \phi \mid \phi \lor \phi \mid \underline{p \mid \phi \Rightarrow \phi}
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\textrm{Formula} & \phi &::=& \top \mid \bot \mid \phi \land \phi \mid \phi \lor \phi \mid \underline{p \mid \phi \Rightarrow \phi}
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\end{array}$$
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\end{array}$$
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Note how we add propositional variables $p$, which stand for unknown truth values.
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Note how we add \emph{propositional variables} $p$, which stand for unknown truth values.
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What is fundamentally harder about modeling implication?
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What is fundamentally harder about modeling implication?
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We need to perform \emph{hypothetical reasoning}\index{hypothetical reasoning}, trying to prove a formula with other formulas available as known facts.
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We need to perform \emph{hypothetical reasoning}\index{hypothetical reasoning}, trying to prove a formula with other formulas available as known facts.
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