Nuprl Definition : rat_term

Nuprl Definition : rat_term_size

rat_term_size(p) ==
  fix((λsize,p. let lbl,x = p
                in if lbl =a "Constant" then 0
                   if lbl =a "Var" then 0
                   if lbl =a "Add" then 1 + (size (fst(x))) + (size (snd(x)))
                   if lbl =a "Subtract" then 1 + (size (fst(x))) + (size (snd(x)))
                   if lbl =a "Multiply" then 1 + (size (fst(x))) + (size (snd(x)))
                   if lbl =a "Divide" then 1 + (size (fst(x))) + (size (snd(x)))
                   if lbl =a "Minus" then 1 + (size x)
                   else 0
                   fi ))
  p

Definitions occuring in Statement : ifthenelse: if b then t else f fi , eq_atom: x =a y, pi1: fst(t), pi2: snd(t), apply: f a, fix: fix(F), lambda: λx.A[x], spread: spread def, add: n + m, natural_number: $n, token: "$token"
Definitions occuring in definition : fix: fix(F), lambda: λx.A[x], spread: spread def, pi1: fst(t), pi2: snd(t), ifthenelse: if b then t else f fi , eq_atom: x =a y, token: "$token", add: n + m, apply: f a, natural_number: $n
FDL editor aliases : rat_term_size

Latex:
rat\_term\_size(p) == fix((\mlambda{}size,p. let lbl,x = p in if lbl =a "Constant" then 0 if lbl =a "Var" then 0 if lbl =a "Add" then 1 + (size (fst(x))) + (size (snd(x))) if lbl =a "Subtract" then 1 + (size (fst(x))) + (size (snd(x))) if lbl =a "Multiply" then 1 + (size (fst(x))) + (size (snd(x))) if lbl =a "Divide" then 1 + (size (fst(x))) + (size (snd(x))) if lbl =a "Minus" then 1 + (size x) else 0 fi )) p Date html generated: 2019_10_29-AM-09_25_23 Last ObjectModification: 2019_03_31-PM-05_15_59 Theory : reals Home Index