Question: As a reminder, here is the grammar for lambda calculus expressions: Ex^x.E|EE|(E) The rules for parsing with this ambiguous) grammar are: Application is left associative,

As a reminder, here is the grammar for lambda calculus expressions: Ex^x.E|EE|(E) The rules for parsing with this ambiguous) grammar are: Application is

As a reminder, here is the grammar for lambda calculus expressions: Ex^x.E|EE|(E) The rules for parsing with this ambiguous) grammar are: Application is left associative, so "E_E2E2 is parsed as "(E1 E2)E3" Abstraction (2) extends as far right as possible, so "\x.EjE2" is parsed as Xx.(E1 E2)" E= (E) is the grouping rule, so (Ax.E1 E2) Ez is parsed as (Ax.(E1E2))(E3) 2. (9 points) Find the free variables in each of the following expressions: (a) Ix.xzly.cy (b) (1x.xz) \y.w.w.wyzz (c) Ax.xylx.yx

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