Does anyone know Lambda Calculus?

Does anyone know Lambda Calculus?

How can 2.2. be used in 2.3.? pic related

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homes.cs.washington.edu/~djg/2011sp/lec10_6up.pdf
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boomp

pls help

Not doing hw for Veeky Forums and getting over the notation is more work than it's worth.

Have a look at this:
homes.cs.washington.edu/~djg/2011sp/lec10_6up.pdf

My feeling is that you induct on forms of [math]M_1[/math] and [math]M_2[/math] and case split on whether [math]x[/math] is free (it will either be free in both or neither). Then the substitution lemma enters.

1. this is about untyped lambda calculus
2. it's not homework, it's from a free pdf online written by a guy who doesn't teach anymore, henk barendergt

bomp

blomp

lambda clackulus

clackulus-bump

clackulus

what you said has literally no fucking value

there's no need to split because, if x is not in M's free variables, then M = M[ x:= N]

second, what you said is in the last paragraph is a rewording of the exercise, of course you need to use induction or modus ponens, there's a fucking implication in the screenshot you dumb pig

the exercise itself tells you to prove an induction that uses M1 and M2, more precisely M1 = M2

you are simply zero you are a dumb mongoliod a trisomic bastard a fucking cretinous retard

holy fucking shit how can you be so dumb, you have to be trolling or joking around in some form

there's no types in the exercise and what you said regarding induction is just repeating the fucking question

holy fucking shit you tremendous turdlord

you goddamned fucking cursed retard you make everyone more stupid when you breathe and exhale in the same room as them

>2 posters

well, now it's 3

oink

shut up it's not pigda

bomppor

stfu faggor

henk barendregt you stupid fucking FAGGOT!