Differences

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--- sav08:propositional_logic_semantics [2008/03/11 14:50]
vkuncak
+++ sav08:propositional_logic_semantics [2008/03/11 14:52]
vkuncak
@@ Line 14: / Line 14: @@
 \[\begin{array}{l}
   e(p)(I) = I(p), \mbox{ for } p \in V \\
-  e({"\lnot"}\> F)(I) = \lnot (e(F)(I)) \\
+  e({'\lnot '}\> F)(I) = \lnot (e(F)(I)) \\
-  e(F_1\> {"\land"}\> F_2)(I) = e(F_1)(I) \land e(F_2)(I) \\
+  e(F_1\> {'\land '}\> F_2)(I) = e(F_1)(I) \land e(F_2)(I) \\
-  e(F_1\> {"\lor"}\> F_2)(I) = e(F_1)(I) \lor e(F_2)(I) \\
+  e(F_1\> {'\lor '}\> F_2)(I) = e(F_1)(I) \lor e(F_2)(I) \\
-  e(F_1\> {"\rightarrow"}\> F_2)(I) = (e(F_1)(I) \rightarrow e(F_2)(I)) \\
+  e(F_1\> {'\rightarrow '}\> F_2)(I) = (e(F_1)(I) \rightarrow e(F_2)(I)) \\
-  e(F_1\> {"\leftrightarrow"}\> F_2)(I) = (e(F_1)(I) \leftrightarrow e(F_2)(I))
+  e(F_1\> {'\leftrightarrow '}\> F_2)(I) = (e(F_1)(I) \leftrightarrow e(F_2)(I))
 \end{array}
 \]
-We wrote symbols like $" \land "$ on left in quotes to emphasize that those are syntactic entities, in contrast to symbols like $\land$ on right-hand side that denote propositional operations given by truth tables (stated in [[Propositional Logic Informally]]).
+We wrote symbols like $'\land '$ on left in quotes to emphasize that those are syntactic entities, in contrast to symbols like $\land$ on right-hand side that denote propositional operations given by truth tables (stated in [[Propositional Logic Informally]]).
 ++++