 The first condition requires that \(i\) is an optimal interpretation of form \(f\). In Bi-OT this condition is thought of as optimization from the hearer’s point of view. Blutner proposed that \(\langle f,i'\rangle \gt \langle f,i\rangle\) iff \(i'\) is a more likely, or stereotypical, interpretation of \(f\) than \(i\) is: \(P(i'\mid \llbracket f\rrbracket) \gt P(i\mid \llbracket f \rrbracket)\) (where \(\llbracket f\rrbracket\) denotes the semantic meaning of \(f\), and \(P(B\mid A)\) the conditional probability of \(B\) given \(A\), defined as \(P(A\cap B)/P(A))\). The second condition is taken to involve speaker’s optimization: for \(\langle f,i\rangle\) to be optimal for the speaker, it has to be the case that she cannot use a more optimal form \(f'\) to express \(i. \langle f',i\rangle \gt \langle f,i\rangle\) iff either (i) \(P(i\mid \llbracket f'\rrbracket) \gt P(i\mid \llbracket f\rrbracket)\), or (ii) \(P(i\mid\llbracket f'\rrbracket = P(i\mid\llbracket f\rrbracket)\) and \(f'\) is a less complex form to express \(i\) than \(f\) is.