YES Confluence Proof

Confluence Proof

by ACP

Input

The rewrite relation of the following TRS is considered.

-(0,0) → 0
-(s(x),0) → s(x)
-(x,s(y)) → -(d(x),y)
d(s(x)) → x
-(s(x),s(y)) → -(x,y)
-(d(x),y) → -(x,s(y))

Proof

1 Strongly closed

Confluence is proven since the TRS is strongly closed. The joins can be performed within 3 step(s).

Tool configuration

ACP