*** 1 Progress [(O(1),O(n^1))] ***
Considered Problem:
Strict DP Rules:
Strict TRS Rules:
+(*(x,y),*(x,z)) -> *(x,+(y,z))
+(*(x,y),+(*(x,z),u())) -> +(*(x,+(y,z)),u())
+(+(x,y),z) -> +(x,+(y,z))
Weak DP Rules:
Weak TRS Rules:
Signature:
{+/2} / {*/2,u/0}
Obligation:
Innermost
basic terms: {+}/{*,u}
Applied Processor:
Bounds {initialAutomaton = minimal, enrichment = match}
Proof:
The problem is match-bounded by 1.
The enriched problem is compatible with follwoing automaton.
*_0(2,2) -> 2
*_1(2,3) -> 1
*_1(2,3) -> 3
+_0(2,2) -> 1
+_1(2,2) -> 3
u_0() -> 2
*** 1.1 Progress [(O(1),O(1))] ***
Considered Problem:
Strict DP Rules:
Strict TRS Rules:
Weak DP Rules:
Weak TRS Rules:
+(*(x,y),*(x,z)) -> *(x,+(y,z))
+(*(x,y),+(*(x,z),u())) -> +(*(x,+(y,z)),u())
+(+(x,y),z) -> +(x,+(y,z))
Signature:
{+/2} / {*/2,u/0}
Obligation:
Innermost
basic terms: {+}/{*,u}
Applied Processor:
EmptyProcessor
Proof:
The problem is already closed. The intended complexity is O(1).