| 1: | dbl(0) | → 0 | |
| 2: | dbl(s(X)) | → s(n__s(n__dbl(activate(X)))) | |
| 3: | dbls(nil) | → nil | |
| 4: | dbls(cons(X,Y)) | → cons(n__dbl(activate(X)),n__dbls(activate(Y))) | |
| 5: | sel(0,cons(X,Y)) | → activate(X) | |
| 6: | sel(s(X),cons(Y,Z)) | → sel(activate(X),activate(Z)) | |
| 7: | indx(nil,X) | → nil | |
| 8: | indx(cons(X,Y),Z) | → cons(n__sel(activate(X),activate(Z)),n__indx(activate(Y),activate(Z))) | |
| 9: | from(X) | → cons(activate(X),n__from(n__s(activate(X)))) | |
| 10: | dbl1(0) | → 01 | |
| 11: | dbl1(s(X)) | → s1(s1(dbl1(activate(X)))) | |
| 12: | sel1(0,cons(X,Y)) | → activate(X) | |
| 13: | sel1(s(X),cons(Y,Z)) | → sel1(activate(X),activate(Z)) | |
| 14: | quote(0) | → 01 | |
| 15: | quote(s(X)) | → s1(quote(activate(X))) | |
| 16: | quote(dbl(X)) | → dbl1(X) | |
| 17: | quote(sel(X,Y)) | → sel1(X,Y) | |
| 18: | s(X) | → n__s(X) | |
| 19: | dbl(X) | → n__dbl(X) | |
| 20: | dbls(X) | → n__dbls(X) | |
| 21: | sel(X1,X2) | → n__sel(X1,X2) | |
| 22: | indx(X1,X2) | → n__indx(X1,X2) | |
| 23: | from(X) | → n__from(X) | |
| 24: | activate(n__s(X)) | → s(X) | |
| 25: | activate(n__dbl(X)) | → dbl(activate(X)) | |
| 26: | activate(n__dbls(X)) | → dbls(activate(X)) | |
| 27: | activate(n__sel(X1,X2)) | → sel(activate(X1),activate(X2)) | |
| 28: | activate(n__indx(X1,X2)) | → indx(activate(X1),X2) | |
| 29: | activate(n__from(X)) | → from(X) | |
| 30: | activate(X) | → X | |
| 31: | DBL(s(X)) | → S(n__s(n__dbl(activate(X)))) | |
| 32: | DBL(s(X)) | → ACTIVATE(X) | |
| 33: | DBLS(cons(X,Y)) | → ACTIVATE(X) | |
| 34: | DBLS(cons(X,Y)) | → ACTIVATE(Y) | |
| 35: | SEL(0,cons(X,Y)) | → ACTIVATE(X) | |
| 36: | SEL(s(X),cons(Y,Z)) | → SEL(activate(X),activate(Z)) | |
| 37: | SEL(s(X),cons(Y,Z)) | → ACTIVATE(X) | |
| 38: | SEL(s(X),cons(Y,Z)) | → ACTIVATE(Z) | |
| 39: | INDX(cons(X,Y),Z) | → ACTIVATE(X) | |
| 40: | INDX(cons(X,Y),Z) | → ACTIVATE(Y) | |
| 41: | INDX(cons(X,Y),Z) | → ACTIVATE(Z) | |
| 42: | FROM(X) | → ACTIVATE(X) | |
| 43: | DBL1(s(X)) | → DBL1(activate(X)) | |
| 44: | DBL1(s(X)) | → ACTIVATE(X) | |
| 45: | SEL1(0,cons(X,Y)) | → ACTIVATE(X) | |
| 46: | SEL1(s(X),cons(Y,Z)) | → SEL1(activate(X),activate(Z)) | |
| 47: | SEL1(s(X),cons(Y,Z)) | → ACTIVATE(X) | |
| 48: | SEL1(s(X),cons(Y,Z)) | → ACTIVATE(Z) | |
| 49: | QUOTE(s(X)) | → QUOTE(activate(X)) | |
| 50: | QUOTE(s(X)) | → ACTIVATE(X) | |
| 51: | QUOTE(dbl(X)) | → DBL1(X) | |
| 52: | QUOTE(sel(X,Y)) | → SEL1(X,Y) | |
| 53: | ACTIVATE(n__s(X)) | → S(X) | |
| 54: | ACTIVATE(n__dbl(X)) | → DBL(activate(X)) | |
| 55: | ACTIVATE(n__dbl(X)) | → ACTIVATE(X) | |
| 56: | ACTIVATE(n__dbls(X)) | → DBLS(activate(X)) | |
| 57: | ACTIVATE(n__dbls(X)) | → ACTIVATE(X) | |
| 58: | ACTIVATE(n__sel(X1,X2)) | → SEL(activate(X1),activate(X2)) | |
| 59: | ACTIVATE(n__sel(X1,X2)) | → ACTIVATE(X1) | |
| 60: | ACTIVATE(n__sel(X1,X2)) | → ACTIVATE(X2) | |
| 61: | ACTIVATE(n__indx(X1,X2)) | → INDX(activate(X1),X2) | |
| 62: | ACTIVATE(n__indx(X1,X2)) | → ACTIVATE(X1) | |
| 63: | ACTIVATE(n__from(X)) | → FROM(X) | |