Term Rewriting System R:
[x, y]
f(g(x, y), f(y, y)) -> f(g(y, x), y)
Innermost Termination of R to be shown.
R
↳Removing Redundant Rules
Removing the following rules from R which fullfill a polynomial ordering:
f(g(x, y), f(y, y)) -> f(g(y, x), y)
where the Polynomial interpretation:
| POL(g(x1, x2)) | = 1 + x1 + x2 |
| POL(f(x1, x2)) | = 1 + x1 + x2 |
was used.
All Rules of R can be deleted.
R
↳RRRPolo
→TRS2
↳Dependency Pair Analysis
R contains no Dependency Pairs and therefore no SCCs.
Innermost Termination of R successfully shown.
Duration:
0:00 minutes