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06:06:59 <esolangs> [[Esolang:Introduce yourself]] M https://esolangs.org/w/index.php?diff=119868&oldid=119780 * Redisnotblue * (+189)
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08:59:53 <cpressey> riv: re forwards and backwards proof: I think of it like this:
08:59:54 <cpressey> A proof is a tree (or more often it's actually a DAG). "Forward proof" is to start at the leaves and work towards the root. "Backward proof" is to start at the root and work towards the leaves.
08:59:54 <cpressey> I think this can sometimes manifest in the way you described with assumptions and conclusions, but not necessarily.
09:08:25 <esolangs> [[Talk:Binary lambda calculus]] https://esolangs.org/w/index.php?diff=119869&oldid=24477 * Squidmanescape * (+2815)
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10:35:04 <cpressey> This is what I've been working on lately: https://codeberg.org/catseye/define-opaque/src/branch/develop-0.2
10:35:04 <cpressey> My thought is, if you can do it in Scheme, you could do it in the untyped lambda calculus too.
10:35:05 <cpressey> Which would give you a basis to argue that the untyped lambda calculus is strongly typed.
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12:35:28 <b_jonas> cpressey: doesn't a later scheme standard already give you something like that?
12:37:18 <b_jonas> cpressey: I think you're relying on the equal? primitive, that wouldn't work in untyped lambda calculus
12:37:53 <b_jonas> I don't have a proof, but I think it's not possible in untyped lambda calculus
12:43:00 <b_jonas> in untyped lambda calculus, if you can construct a private accessor function then an adversary can also construct the same function
12:43:08 <b_jonas> there's no eq? or other way to distinguish
12:45:40 <b_jonas> that's not quite a proof because it doesn't exclude inside-out structures, but I think you can't hide data that way either in untyped lambda calculus
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17:10:43 <esolangs> [[Lazy evaluation]] https://esolangs.org/w/index.php?diff=119870&oldid=119837 * Quito0567 * (+9)
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19:03:25 <esolangs> [[Jumping to -1 is exciting]] M https://esolangs.org/w/index.php?diff=119871&oldid=30201 * PythonshellDebugwindow * (+73) Categories
19:04:52 <esolangs> [[Black and white and read all over]] M https://esolangs.org/w/index.php?diff=119872&oldid=18201 * PythonshellDebugwindow * (+9) Stub
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21:43:56 <esolangs> [[Lazy evaluation]] https://esolangs.org/w/index.php?diff=119873&oldid=119870 * Quito0567 * (+18)
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