Term Rewriting System R:
[x]
+(1, x) -> +(+(0, 1), x)
+(0, x) -> x
Termination of R to be shown.
R
↳Dependency Pair Analysis
R contains the following Dependency Pairs:
+'(1, x) -> +'(+(0, 1), x)
+'(1, x) -> +'(0, 1)
Furthermore, R contains one SCC.
R
↳DPs
→DP Problem 1
↳Remaining Obligation(s)
The following remains to be proven:
Dependency Pair:
+'(1, x) -> +'(+(0, 1), x)
Rules:
+(1, x) -> +(+(0, 1), x)
+(0, x) -> x
Termination of R could not be shown.
Duration:
0:00 minutes