Certification Problem
Input (COPS 934)
The rewrite relation of the following (conditional) TRS is considered.
|
h(x) |
→ |
a |
| |
|
g(x) |
→ |
x |
| |
|
g(x) |
→ |
a |
| h(x) ≈ b
|
| c |
→ |
c |
| |
The question is whether the following conditions are infeasible, i.e., there is no substitution σ
such that all of the following is true:
Property / Task
Prove or disprove an infeasibility problem.Answer / Result
Yes.Proof (by nonreach @ CoCo 2023)
|
h(x) |
→ |
a |
| |
|
g(x) |
→ |
x |
| |
| c |
→ |
c |
| |
1 Infeasible Compound Conditions
We collect the conditions in the fresh compound-symbol
|.
1.1 Non-reachability
We show non-reachability w.r.t. the underlying TRS.
1.1.1 Non-reachability by TCAP
Non-reachability is shown by the TCAP approximation.