Examples for atomic formulae in the context of ''Jane Eyre'': Difference between revisions
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{{denL}}'''husband-of(edward,bertha)'''{{denR}} = ''1''<br /> | {{denL}}'''husband-of(edward,bertha)'''{{denR}} = ''1''<br /> | ||
iff <I('''edward'''), I('''bertha''') > ∈ I('''husband-of''')<br /> | iff < I('''edward'''), I('''bertha''') > ∈ I('''husband-of''')<br /> | ||
iff <''MrRochester'', ''BerthaMason''> ∈ { <''MrRochester,BerthaMason''>, <''MrRochester,JaneEyre''> }. | iff <''MrRochester'', ''BerthaMason''> ∈ { <''MrRochester,BerthaMason''>, <''MrRochester,JaneEyre''> }. | ||
Since this is the case, {{denL}}'''husband-of(edward,bertha)'''{{denR}} = ''1''. | Since this is the case, {{denL}}'''husband-of(edward,bertha)'''{{denR}} = ''1''. | ||
Revision as of 21:09, 28 June 2013
Task 3
Write down two atomic formulæ and compute their truth value with respect to your model.
First example
Formula: female(edward)
Interpretation:
[[female(edward)]] = 1
iff < I(edward) > ∈ I(female)
iff MrRochester ∈ {JaneEyre, BerthaMason}.
Since this is not the case, [[female(edward)]] = 0.
Second example
Formula: husband-of(edward,bertha)
Interpretation:
[[husband-of(edward,bertha)]] = 1
iff < I(edward), I(bertha) > ∈ I(husband-of)
iff <MrRochester, BerthaMason> ∈ { <MrRochester,BerthaMason>, <MrRochester,JaneEyre> }.
Since this is the case, [[husband-of(edward,bertha)]] = 1.