f(s(

f(

f(

R

↳Dependency Pair Analysis

F(s(X),X) -> F(X, a(X))

F(X, c(X)) -> F(s(X),X)

Furthermore,

R

↳DPs

→DP Problem 1

↳Instantiation Transformation

→DP Problem 2

↳Inst

**F(s( X), X) -> F(X, a(X))**

f(s(X),X) -> f(X, a(X))

f(X, c(X)) -> f(s(X),X)

f(X,X) -> c(X)

On this DP problem, an Instantiation SCC transformation can be performed.

As a result of transforming the rule

one new Dependency Pair is created:

F(s(X),X) -> F(X, a(X))

F(s(a(X''')), a(X''')) -> F(a(X'''), a(a(X''')))

The transformation is resulting in no new DP problems.

R

↳DPs

→DP Problem 1

↳Inst

→DP Problem 2

↳Instantiation Transformation

**F( X, c(X)) -> F(s(X), X)**

f(s(X),X) -> f(X, a(X))

f(X, c(X)) -> f(s(X),X)

f(X,X) -> c(X)

On this DP problem, an Instantiation SCC transformation can be performed.

As a result of transforming the rule

one new Dependency Pair is created:

F(X, c(X)) -> F(s(X),X)

F(s(X'''), c(s(X'''))) -> F(s(s(X''')), s(X'''))

The transformation is resulting in no new DP problems.

Duration:

0:00 minutes