YES Confluence Proof

Confluence Proof

by ACP

Input

The rewrite relation of the following TRS is considered.

foo(0(x)) 0(s(p(p(p(s(s(s(p(s(x))))))))))
foo(s(x)) p(s(p(p(p(s(s(p(s(s(p(s(foo(p(p(s(s(p(s(bar(p(p(s(s(p(s(x))))))))))))))))))))))))))
bar(0(x)) 0(p(s(s(s(x)))))
bar(s(x)) p(s(p(p(s(s(foo(s(p(p(s(s(x))))))))))))
p(p(s(x))) p(x)
p(s(x)) x
p(0(x)) 0(s(s(s(s(x)))))

Proof

1 Development Closed

Confluence is proven since the TRS is development closed.

Tool configuration

ACP