(1) RFCMatchBoundsTRSProof (EQUIVALENT transformation)
Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R.
The following rules were used to construct the certificate:
b(a(a(b(b(b(x)))))) → a(b(a(b(b(b(a(x)))))))
The certificate found is represented by the following graph.
The certificate consists of the following enumerated nodes:
1, 2, 5, 6, 7, 8, 9, 10, 17, 18, 19, 20, 21, 22
Node 1 is start node and node 2 is final node.
Those nodes are connected through the following edges:
- 1 to 5 labelled a_1(0)
- 2 to 2 labelled #_1(0)
- 5 to 6 labelled b_1(0)
- 6 to 7 labelled a_1(0)
- 7 to 8 labelled b_1(0)
- 8 to 9 labelled b_1(0)
- 9 to 10 labelled b_1(0)
- 9 to 17 labelled a_1(1)
- 10 to 2 labelled a_1(0)
- 17 to 18 labelled b_1(1)
- 18 to 19 labelled a_1(1)
- 19 to 20 labelled b_1(1)
- 20 to 21 labelled b_1(1)
- 21 to 22 labelled b_1(1)
- 21 to 17 labelled a_1(1)
- 22 to 2 labelled a_1(1)