The rewrite relation of the following TRS is considered.
a____(__(X,Y),Z) | → | a____(mark(X),a____(mark(Y),mark(Z))) | (1) |
a____(X,nil) | → | mark(X) | (2) |
a____(nil,X) | → | mark(X) | (3) |
a__U11(tt,V) | → | a__U12(a__isNeList(V)) | (4) |
a__U12(tt) | → | tt | (5) |
a__U21(tt,V1,V2) | → | a__U22(a__isList(V1),V2) | (6) |
a__U22(tt,V2) | → | a__U23(a__isList(V2)) | (7) |
a__U23(tt) | → | tt | (8) |
a__U31(tt,V) | → | a__U32(a__isQid(V)) | (9) |
a__U32(tt) | → | tt | (10) |
a__U41(tt,V1,V2) | → | a__U42(a__isList(V1),V2) | (11) |
a__U42(tt,V2) | → | a__U43(a__isNeList(V2)) | (12) |
a__U43(tt) | → | tt | (13) |
a__U51(tt,V1,V2) | → | a__U52(a__isNeList(V1),V2) | (14) |
a__U52(tt,V2) | → | a__U53(a__isList(V2)) | (15) |
a__U53(tt) | → | tt | (16) |
a__U61(tt,V) | → | a__U62(a__isQid(V)) | (17) |
a__U62(tt) | → | tt | (18) |
a__U71(tt,V) | → | a__U72(a__isNePal(V)) | (19) |
a__U72(tt) | → | tt | (20) |
a__and(tt,X) | → | mark(X) | (21) |
a__isList(V) | → | a__U11(a__isPalListKind(V),V) | (22) |
a__isList(nil) | → | tt | (23) |
a__isList(__(V1,V2)) | → | a__U21(a__and(a__isPalListKind(V1),isPalListKind(V2)),V1,V2) | (24) |
a__isNeList(V) | → | a__U31(a__isPalListKind(V),V) | (25) |
a__isNeList(__(V1,V2)) | → | a__U41(a__and(a__isPalListKind(V1),isPalListKind(V2)),V1,V2) | (26) |
a__isNeList(__(V1,V2)) | → | a__U51(a__and(a__isPalListKind(V1),isPalListKind(V2)),V1,V2) | (27) |
a__isNePal(V) | → | a__U61(a__isPalListKind(V),V) | (28) |
a__isNePal(__(I,__(P,I))) | → | a__and(a__and(a__isQid(I),isPalListKind(I)),and(isPal(P),isPalListKind(P))) | (29) |
a__isPal(V) | → | a__U71(a__isPalListKind(V),V) | (30) |
a__isPal(nil) | → | tt | (31) |
a__isPalListKind(a) | → | tt | (32) |
a__isPalListKind(e) | → | tt | (33) |
a__isPalListKind(i) | → | tt | (34) |
a__isPalListKind(nil) | → | tt | (35) |
a__isPalListKind(o) | → | tt | (36) |
a__isPalListKind(u) | → | tt | (37) |
a__isPalListKind(__(V1,V2)) | → | a__and(a__isPalListKind(V1),isPalListKind(V2)) | (38) |
a__isQid(a) | → | tt | (39) |
a__isQid(e) | → | tt | (40) |
a__isQid(i) | → | tt | (41) |
a__isQid(o) | → | tt | (42) |
a__isQid(u) | → | tt | (43) |
mark(__(X1,X2)) | → | a____(mark(X1),mark(X2)) | (44) |
mark(U11(X1,X2)) | → | a__U11(mark(X1),X2) | (45) |
mark(U12(X)) | → | a__U12(mark(X)) | (46) |
mark(isNeList(X)) | → | a__isNeList(X) | (47) |
mark(U21(X1,X2,X3)) | → | a__U21(mark(X1),X2,X3) | (48) |
mark(U22(X1,X2)) | → | a__U22(mark(X1),X2) | (49) |
mark(isList(X)) | → | a__isList(X) | (50) |
mark(U23(X)) | → | a__U23(mark(X)) | (51) |
mark(U31(X1,X2)) | → | a__U31(mark(X1),X2) | (52) |
mark(U32(X)) | → | a__U32(mark(X)) | (53) |
mark(isQid(X)) | → | a__isQid(X) | (54) |
mark(U41(X1,X2,X3)) | → | a__U41(mark(X1),X2,X3) | (55) |
mark(U42(X1,X2)) | → | a__U42(mark(X1),X2) | (56) |
mark(U43(X)) | → | a__U43(mark(X)) | (57) |
mark(U51(X1,X2,X3)) | → | a__U51(mark(X1),X2,X3) | (58) |
mark(U52(X1,X2)) | → | a__U52(mark(X1),X2) | (59) |
mark(U53(X)) | → | a__U53(mark(X)) | (60) |
mark(U61(X1,X2)) | → | a__U61(mark(X1),X2) | (61) |
mark(U62(X)) | → | a__U62(mark(X)) | (62) |
mark(U71(X1,X2)) | → | a__U71(mark(X1),X2) | (63) |
mark(U72(X)) | → | a__U72(mark(X)) | (64) |
mark(isNePal(X)) | → | a__isNePal(X) | (65) |
mark(and(X1,X2)) | → | a__and(mark(X1),X2) | (66) |
mark(isPalListKind(X)) | → | a__isPalListKind(X) | (67) |
mark(isPal(X)) | → | a__isPal(X) | (68) |
mark(nil) | → | nil | (69) |
mark(tt) | → | tt | (70) |
mark(a) | → | a | (71) |
mark(e) | → | e | (72) |
mark(i) | → | i | (73) |
mark(o) | → | o | (74) |
mark(u) | → | u | (75) |
a____(X1,X2) | → | __(X1,X2) | (76) |
a__U11(X1,X2) | → | U11(X1,X2) | (77) |
a__U12(X) | → | U12(X) | (78) |
a__isNeList(X) | → | isNeList(X) | (79) |
a__U21(X1,X2,X3) | → | U21(X1,X2,X3) | (80) |
a__U22(X1,X2) | → | U22(X1,X2) | (81) |
a__isList(X) | → | isList(X) | (82) |
a__U23(X) | → | U23(X) | (83) |
a__U31(X1,X2) | → | U31(X1,X2) | (84) |
a__U32(X) | → | U32(X) | (85) |
a__isQid(X) | → | isQid(X) | (86) |
a__U41(X1,X2,X3) | → | U41(X1,X2,X3) | (87) |
a__U42(X1,X2) | → | U42(X1,X2) | (88) |
a__U43(X) | → | U43(X) | (89) |
a__U51(X1,X2,X3) | → | U51(X1,X2,X3) | (90) |
a__U52(X1,X2) | → | U52(X1,X2) | (91) |
a__U53(X) | → | U53(X) | (92) |
a__U61(X1,X2) | → | U61(X1,X2) | (93) |
a__U62(X) | → | U62(X) | (94) |
a__U71(X1,X2) | → | U71(X1,X2) | (95) |
a__U72(X) | → | U72(X) | (96) |
a__isNePal(X) | → | isNePal(X) | (97) |
a__and(X1,X2) | → | and(X1,X2) | (98) |
a__isPalListKind(X) | → | isPalListKind(X) | (99) |
a__isPal(X) | → | isPal(X) | (100) |
prec(a____) | = | 16 | stat(a____) | = | lex | |
prec(__) | = | 16 | stat(__) | = | lex | |
prec(nil) | = | 18 | stat(nil) | = | mul | |
prec(a__U11) | = | 3 | stat(a__U11) | = | mul | |
prec(tt) | = | 17 | stat(tt) | = | mul | |
prec(a__isNeList) | = | 2 | stat(a__isNeList) | = | mul | |
prec(a__U21) | = | 6 | stat(a__U21) | = | mul | |
prec(a__U22) | = | 5 | stat(a__U22) | = | mul | |
prec(a__isList) | = | 4 | stat(a__isList) | = | mul | |
prec(a__U31) | = | 0 | stat(a__U31) | = | mul | |
prec(a__U41) | = | 8 | stat(a__U41) | = | mul | |
prec(a__U42) | = | 7 | stat(a__U42) | = | mul | |
prec(a__U51) | = | 10 | stat(a__U51) | = | mul | |
prec(a__U52) | = | 9 | stat(a__U52) | = | mul | |
prec(a__U61) | = | 11 | stat(a__U61) | = | mul | |
prec(a__U71) | = | 14 | stat(a__U71) | = | lex | |
prec(a__isNePal) | = | 13 | stat(a__isNePal) | = | mul | |
prec(a__and) | = | 12 | stat(a__and) | = | mul | |
prec(a__isPalListKind) | = | 1 | stat(a__isPalListKind) | = | mul | |
prec(isPalListKind) | = | 1 | stat(isPalListKind) | = | mul | |
prec(and) | = | 12 | stat(and) | = | mul | |
prec(isPal) | = | 15 | stat(isPal) | = | mul | |
prec(a__isPal) | = | 15 | stat(a__isPal) | = | mul | |
prec(a) | = | 19 | stat(a) | = | mul | |
prec(e) | = | 20 | stat(e) | = | mul | |
prec(i) | = | 17 | stat(i) | = | mul | |
prec(o) | = | 21 | stat(o) | = | mul | |
prec(u) | = | 22 | stat(u) | = | mul | |
prec(U11) | = | 3 | stat(U11) | = | mul | |
prec(isNeList) | = | 2 | stat(isNeList) | = | mul | |
prec(U21) | = | 6 | stat(U21) | = | mul | |
prec(U22) | = | 5 | stat(U22) | = | mul | |
prec(isList) | = | 4 | stat(isList) | = | mul | |
prec(U31) | = | 0 | stat(U31) | = | mul | |
prec(U41) | = | 8 | stat(U41) | = | mul | |
prec(U42) | = | 7 | stat(U42) | = | mul | |
prec(U51) | = | 10 | stat(U51) | = | mul | |
prec(U52) | = | 9 | stat(U52) | = | mul | |
prec(U61) | = | 11 | stat(U61) | = | mul | |
prec(U71) | = | 14 | stat(U71) | = | lex | |
prec(isNePal) | = | 13 | stat(isNePal) | = | mul |
π(a____) | = | [1,2] |
π(__) | = | [1,2] |
π(mark) | = | 1 |
π(nil) | = | [] |
π(a__U11) | = | [1,2] |
π(tt) | = | [] |
π(a__U12) | = | 1 |
π(a__isNeList) | = | [1] |
π(a__U21) | = | [1,2,3] |
π(a__U22) | = | [1,2] |
π(a__isList) | = | [1] |
π(a__U23) | = | 1 |
π(a__U31) | = | [1,2] |
π(a__U32) | = | 1 |
π(a__isQid) | = | 1 |
π(a__U41) | = | [1,2,3] |
π(a__U42) | = | [1,2] |
π(a__U43) | = | 1 |
π(a__U51) | = | [1,2,3] |
π(a__U52) | = | [1,2] |
π(a__U53) | = | 1 |
π(a__U61) | = | [1,2] |
π(a__U62) | = | 1 |
π(a__U71) | = | [1,2] |
π(a__U72) | = | 1 |
π(a__isNePal) | = | [1] |
π(a__and) | = | [1,2] |
π(a__isPalListKind) | = | [1] |
π(isPalListKind) | = | [1] |
π(and) | = | [1,2] |
π(isPal) | = | [1] |
π(a__isPal) | = | [1] |
π(a) | = | [] |
π(e) | = | [] |
π(i) | = | [] |
π(o) | = | [] |
π(u) | = | [] |
π(U11) | = | [1,2] |
π(U12) | = | 1 |
π(isNeList) | = | [1] |
π(U21) | = | [1,2,3] |
π(U22) | = | [1,2] |
π(isList) | = | [1] |
π(U23) | = | 1 |
π(U31) | = | [1,2] |
π(U32) | = | 1 |
π(isQid) | = | 1 |
π(U41) | = | [1,2,3] |
π(U42) | = | [1,2] |
π(U43) | = | 1 |
π(U51) | = | [1,2,3] |
π(U52) | = | [1,2] |
π(U53) | = | 1 |
π(U61) | = | [1,2] |
π(U62) | = | 1 |
π(U71) | = | [1,2] |
π(U72) | = | 1 |
π(isNePal) | = | [1] |
a____(__(X,Y),Z) | → | a____(mark(X),a____(mark(Y),mark(Z))) | (1) |
a____(X,nil) | → | mark(X) | (2) |
a____(nil,X) | → | mark(X) | (3) |
a__U11(tt,V) | → | a__U12(a__isNeList(V)) | (4) |
a__U21(tt,V1,V2) | → | a__U22(a__isList(V1),V2) | (6) |
a__U22(tt,V2) | → | a__U23(a__isList(V2)) | (7) |
a__U31(tt,V) | → | a__U32(a__isQid(V)) | (9) |
a__U41(tt,V1,V2) | → | a__U42(a__isList(V1),V2) | (11) |
a__U42(tt,V2) | → | a__U43(a__isNeList(V2)) | (12) |
a__U51(tt,V1,V2) | → | a__U52(a__isNeList(V1),V2) | (14) |
a__U52(tt,V2) | → | a__U53(a__isList(V2)) | (15) |
a__U61(tt,V) | → | a__U62(a__isQid(V)) | (17) |
a__U71(tt,V) | → | a__U72(a__isNePal(V)) | (19) |
a__and(tt,X) | → | mark(X) | (21) |
a__isList(V) | → | a__U11(a__isPalListKind(V),V) | (22) |
a__isList(nil) | → | tt | (23) |
a__isList(__(V1,V2)) | → | a__U21(a__and(a__isPalListKind(V1),isPalListKind(V2)),V1,V2) | (24) |
a__isNeList(V) | → | a__U31(a__isPalListKind(V),V) | (25) |
a__isNeList(__(V1,V2)) | → | a__U41(a__and(a__isPalListKind(V1),isPalListKind(V2)),V1,V2) | (26) |
a__isNeList(__(V1,V2)) | → | a__U51(a__and(a__isPalListKind(V1),isPalListKind(V2)),V1,V2) | (27) |
a__isNePal(V) | → | a__U61(a__isPalListKind(V),V) | (28) |
a__isNePal(__(I,__(P,I))) | → | a__and(a__and(a__isQid(I),isPalListKind(I)),and(isPal(P),isPalListKind(P))) | (29) |
a__isPal(V) | → | a__U71(a__isPalListKind(V),V) | (30) |
a__isPal(nil) | → | tt | (31) |
a__isPalListKind(a) | → | tt | (32) |
a__isPalListKind(e) | → | tt | (33) |
a__isPalListKind(i) | → | tt | (34) |
a__isPalListKind(nil) | → | tt | (35) |
a__isPalListKind(o) | → | tt | (36) |
a__isPalListKind(u) | → | tt | (37) |
a__isPalListKind(__(V1,V2)) | → | a__and(a__isPalListKind(V1),isPalListKind(V2)) | (38) |
a__isQid(a) | → | tt | (39) |
a__isQid(e) | → | tt | (40) |
a__isQid(o) | → | tt | (42) |
a__isQid(u) | → | tt | (43) |
[a__U12(x1)] | = | 2 + 2 · x1 |
[tt] | = | 1 |
[a__U23(x1)] | = | 2 + 2 · x1 |
[a__U32(x1)] | = | 2 + 2 · x1 |
[a__U43(x1)] | = | 2 + 2 · x1 |
[a__U53(x1)] | = | 2 + 2 · x1 |
[a__U62(x1)] | = | 2 + 2 · x1 |
[a__U72(x1)] | = | 2 + 2 · x1 |
[a__isQid(x1)] | = | 2 + 2 · x1 |
[i] | = | 1 |
[mark(x1)] | = | 2 · x1 |
[__(x1, x2)] | = | 1 + 1 · x1 + 1 · x2 |
[a____(x1, x2)] | = | 2 + 1 · x1 + 1 · x2 |
[U11(x1, x2)] | = | 1 + 1 · x1 + 2 · x2 |
[a__U11(x1, x2)] | = | 2 + 1 · x1 + 2 · x2 |
[U12(x1)] | = | 1 + 2 · x1 |
[isNeList(x1)] | = | 1 + 1 · x1 |
[a__isNeList(x1)] | = | 2 + 2 · x1 |
[U21(x1, x2, x3)] | = | 1 + 1 · x1 + 2 · x2 + 1 · x3 |
[a__U21(x1, x2, x3)] | = | 2 + 1 · x1 + 2 · x2 + 2 · x3 |
[U22(x1, x2)] | = | 1 + 1 · x1 + 2 · x2 |
[a__U22(x1, x2)] | = | 2 + 1 · x1 + 2 · x2 |
[isList(x1)] | = | 1 + 1 · x1 |
[a__isList(x1)] | = | 2 + 2 · x1 |
[U23(x1)] | = | 1 + 2 · x1 |
[U31(x1, x2)] | = | 1 + 1 · x1 + 2 · x2 |
[a__U31(x1, x2)] | = | 2 + 1 · x1 + 2 · x2 |
[U32(x1)] | = | 1 + 2 · x1 |
[isQid(x1)] | = | 1 + 2 · x1 |
[U41(x1, x2, x3)] | = | 1 + 1 · x1 + 2 · x2 + 2 · x3 |
[a__U41(x1, x2, x3)] | = | 2 + 1 · x1 + 2 · x2 + 2 · x3 |
[U42(x1, x2)] | = | 1 + 1 · x1 + 2 · x2 |
[a__U42(x1, x2)] | = | 2 + 1 · x1 + 2 · x2 |
[U43(x1)] | = | 1 + 2 · x1 |
[U51(x1, x2, x3)] | = | 1 + 1 · x1 + 2 · x2 + 2 · x3 |
[a__U51(x1, x2, x3)] | = | 2 + 1 · x1 + 2 · x2 + 2 · x3 |
[U52(x1, x2)] | = | 1 + 1 · x1 + 1 · x2 |
[a__U52(x1, x2)] | = | 2 + 1 · x1 + 2 · x2 |
[U53(x1)] | = | 1 + 2 · x1 |
[U61(x1, x2)] | = | 1 + 1 · x1 + 2 · x2 |
[a__U61(x1, x2)] | = | 2 + 1 · x1 + 2 · x2 |
[U62(x1)] | = | 1 + 2 · x1 |
[U71(x1, x2)] | = | 1 + 1 · x1 + 2 · x2 |
[a__U71(x1, x2)] | = | 2 + 1 · x1 + 2 · x2 |
[U72(x1)] | = | 1 + 2 · x1 |
[isNePal(x1)] | = | 1 + 1 · x1 |
[a__isNePal(x1)] | = | 2 + 2 · x1 |
[and(x1, x2)] | = | 1 + 1 · x1 + 2 · x2 |
[a__and(x1, x2)] | = | 2 + 1 · x1 + 2 · x2 |
[isPalListKind(x1)] | = | 1 + 1 · x1 |
[a__isPalListKind(x1)] | = | 2 + 2 · x1 |
[isPal(x1)] | = | 1 + 2 · x1 |
[a__isPal(x1)] | = | 2 + 2 · x1 |
[nil] | = | 1 |
[a] | = | 1 |
[e] | = | 1 |
[o] | = | 1 |
[u] | = | 1 |
a__U12(tt) | → | tt | (5) |
a__U23(tt) | → | tt | (8) |
a__U32(tt) | → | tt | (10) |
a__U43(tt) | → | tt | (13) |
a__U53(tt) | → | tt | (16) |
a__U62(tt) | → | tt | (18) |
a__U72(tt) | → | tt | (20) |
a__isQid(i) | → | tt | (41) |
mark(nil) | → | nil | (69) |
mark(tt) | → | tt | (70) |
mark(a) | → | a | (71) |
mark(e) | → | e | (72) |
mark(i) | → | i | (73) |
mark(o) | → | o | (74) |
mark(u) | → | u | (75) |
a____(X1,X2) | → | __(X1,X2) | (76) |
a__U11(X1,X2) | → | U11(X1,X2) | (77) |
a__U12(X) | → | U12(X) | (78) |
a__isNeList(X) | → | isNeList(X) | (79) |
a__U21(X1,X2,X3) | → | U21(X1,X2,X3) | (80) |
a__U22(X1,X2) | → | U22(X1,X2) | (81) |
a__isList(X) | → | isList(X) | (82) |
a__U23(X) | → | U23(X) | (83) |
a__U31(X1,X2) | → | U31(X1,X2) | (84) |
a__U32(X) | → | U32(X) | (85) |
a__isQid(X) | → | isQid(X) | (86) |
a__U41(X1,X2,X3) | → | U41(X1,X2,X3) | (87) |
a__U42(X1,X2) | → | U42(X1,X2) | (88) |
a__U43(X) | → | U43(X) | (89) |
a__U51(X1,X2,X3) | → | U51(X1,X2,X3) | (90) |
a__U52(X1,X2) | → | U52(X1,X2) | (91) |
a__U53(X) | → | U53(X) | (92) |
a__U61(X1,X2) | → | U61(X1,X2) | (93) |
a__U62(X) | → | U62(X) | (94) |
a__U71(X1,X2) | → | U71(X1,X2) | (95) |
a__U72(X) | → | U72(X) | (96) |
a__isNePal(X) | → | isNePal(X) | (97) |
a__and(X1,X2) | → | and(X1,X2) | (98) |
a__isPalListKind(X) | → | isPalListKind(X) | (99) |
a__isPal(X) | → | isPal(X) | (100) |
[mark(x1)] | = | 2 + 2 · x1 |
[__(x1, x2)] | = | 2 + 2 · x1 + 2 · x2 |
[a____(x1, x2)] | = | 1 + 1 · x1 + 1 · x2 |
[U11(x1, x2)] | = | 2 + 2 · x1 + 1 · x2 |
[a__U11(x1, x2)] | = | 1 + 2 · x1 + 2 · x2 |
[U12(x1)] | = | 2 + 2 · x1 |
[a__U12(x1)] | = | 1 + 2 · x1 |
[isNeList(x1)] | = | 2 · x1 |
[a__isNeList(x1)] | = | 1 + 2 · x1 |
[U21(x1, x2, x3)] | = | 2 + 2 · x1 + 2 · x2 + 2 · x3 |
[a__U21(x1, x2, x3)] | = | 1 + 2 · x1 + 2 · x2 + 2 · x3 |
[U22(x1, x2)] | = | 1 + 2 · x1 + 1 · x2 |
[a__U22(x1, x2)] | = | 1 + 1 · x1 + 2 · x2 |
[isList(x1)] | = | 2 · x1 |
[a__isList(x1)] | = | 1 + 2 · x1 |
[U23(x1)] | = | 1 + 2 · x1 |
[a__U23(x1)] | = | 1 + 1 · x1 |
[U31(x1, x2)] | = | 2 + 2 · x1 + 2 · x2 |
[a__U31(x1, x2)] | = | 1 + 2 · x1 + 2 · x2 |
[U32(x1)] | = | 2 + 2 · x1 |
[a__U32(x1)] | = | 1 + 2 · x1 |
[isQid(x1)] | = | 1 · x1 |
[a__isQid(x1)] | = | 1 + 2 · x1 |
[U41(x1, x2, x3)] | = | 2 + 2 · x1 + 2 · x2 + 2 · x3 |
[a__U41(x1, x2, x3)] | = | 1 + 2 · x1 + 2 · x2 + 2 · x3 |
[U42(x1, x2)] | = | 2 + 2 · x1 + 1 · x2 |
[a__U42(x1, x2)] | = | 1 + 2 · x1 + 2 · x2 |
[U43(x1)] | = | 1 + 2 · x1 |
[a__U43(x1)] | = | 1 + 1 · x1 |
[U51(x1, x2, x3)] | = | 1 + 2 · x1 + 2 · x2 + 2 · x3 |
[a__U51(x1, x2, x3)] | = | 1 + 1 · x1 + 2 · x2 + 2 · x3 |
[U52(x1, x2)] | = | 2 + 2 · x1 + 2 · x2 |
[a__U52(x1, x2)] | = | 1 + 2 · x1 + 2 · x2 |
[U53(x1)] | = | 2 + 2 · x1 |
[a__U53(x1)] | = | 1 + 2 · x1 |
[U61(x1, x2)] | = | 2 + 2 · x1 + 2 · x2 |
[a__U61(x1, x2)] | = | 1 + 2 · x1 + 2 · x2 |
[U62(x1)] | = | 1 + 2 · x1 |
[a__U62(x1)] | = | 1 + 1 · x1 |
[U71(x1, x2)] | = | 1 + 2 · x1 + 2 · x2 |
[a__U71(x1, x2)] | = | 1 + 1 · x1 + 2 · x2 |
[U72(x1)] | = | 2 + 2 · x1 |
[a__U72(x1)] | = | 1 + 2 · x1 |
[isNePal(x1)] | = | 1 + 2 · x1 |
[a__isNePal(x1)] | = | 2 · x1 |
[and(x1, x2)] | = | 2 + 2 · x1 + 1 · x2 |
[a__and(x1, x2)] | = | 1 + 2 · x1 + 2 · x2 |
[isPalListKind(x1)] | = | 1 + 2 · x1 |
[a__isPalListKind(x1)] | = | 2 · x1 |
[isPal(x1)] | = | 1 · x1 |
[a__isPal(x1)] | = | 1 + 2 · x1 |
mark(__(X1,X2)) | → | a____(mark(X1),mark(X2)) | (44) |
mark(U11(X1,X2)) | → | a__U11(mark(X1),X2) | (45) |
mark(U12(X)) | → | a__U12(mark(X)) | (46) |
mark(isNeList(X)) | → | a__isNeList(X) | (47) |
mark(U21(X1,X2,X3)) | → | a__U21(mark(X1),X2,X3) | (48) |
mark(U22(X1,X2)) | → | a__U22(mark(X1),X2) | (49) |
mark(isList(X)) | → | a__isList(X) | (50) |
mark(U23(X)) | → | a__U23(mark(X)) | (51) |
mark(U31(X1,X2)) | → | a__U31(mark(X1),X2) | (52) |
mark(U32(X)) | → | a__U32(mark(X)) | (53) |
mark(isQid(X)) | → | a__isQid(X) | (54) |
mark(U41(X1,X2,X3)) | → | a__U41(mark(X1),X2,X3) | (55) |
mark(U42(X1,X2)) | → | a__U42(mark(X1),X2) | (56) |
mark(U43(X)) | → | a__U43(mark(X)) | (57) |
mark(U51(X1,X2,X3)) | → | a__U51(mark(X1),X2,X3) | (58) |
mark(U52(X1,X2)) | → | a__U52(mark(X1),X2) | (59) |
mark(U53(X)) | → | a__U53(mark(X)) | (60) |
mark(U61(X1,X2)) | → | a__U61(mark(X1),X2) | (61) |
mark(U62(X)) | → | a__U62(mark(X)) | (62) |
mark(U71(X1,X2)) | → | a__U71(mark(X1),X2) | (63) |
mark(U72(X)) | → | a__U72(mark(X)) | (64) |
mark(isNePal(X)) | → | a__isNePal(X) | (65) |
mark(and(X1,X2)) | → | a__and(mark(X1),X2) | (66) |
mark(isPalListKind(X)) | → | a__isPalListKind(X) | (67) |
mark(isPal(X)) | → | a__isPal(X) | (68) |
There are no rules in the TRS. Hence, it is terminating.