Nuprl Lemma : hdf-return-transformation1
∀[x:Top]. (hdf-return(x) ~ fix((λmk-hdf.(inl (λa.cbva_seq(λx.⊥; λg.<inr ⋅ , x>; 0))))))
Proof
Definitions occuring in Statement :
hdf-return: hdf-return(x),
bottom: ⊥,
it: ⋅,
uall: ∀[x:A]. B[x],
top: Top,
fix: fix(F),
lambda: λx.A[x],
pair: <a, b>,
inr: inr x ,
inl: inl x,
natural_number: $n,
sqequal: s ~ t,
cbva_seq: cbva_seq(L; F; m)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
cbva_seq: cbva_seq(L; F; m),
hdf-return: hdf-return(x),
hdf-run: hdf-run(P),
callbyvalueall_seq: callbyvalueall_seq(L;G;F;n;m),
le_int: i ≤z j,
lt_int: i <z j,
bnot: ¬bb,
ifthenelse: if b then t else f fi ,
bfalse: ff,
btrue: tt,
hdf-halt: hdf-halt(),
it: ⋅
Latex:
\mforall{}[x:Top]. (hdf-return(x) \msim{} fix((\mlambda{}mk-hdf.(inl (\mlambda{}a.cbva\_seq(\mlambda{}x.\mbot{}; \mlambda{}g.<inr \mcdot{} , x> 0))))))
Date html generated:
2016_05_16-AM-10_45_29
Last ObjectModification:
2015_12_28-PM-07_40_28
Theory : halting!dataflow
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