*** 1 Progress [(O(1),O(n^1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: rev(++(x,x)) -> rev(x) rev(++(x,y)) -> ++(rev(y),rev(x)) rev(a()) -> a() rev(b()) -> b() Weak DP Rules: Weak TRS Rules: Signature: {rev/1} / {++/2,a/0,b/0} Obligation: Full basic terms: {rev}/{++,a,b} Applied Processor: ToInnermost Proof: switch to innermost, as the system is overlay and right linear and does not contain weak rules *** 1.1 Progress [(O(1),O(n^1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: rev(++(x,x)) -> rev(x) rev(++(x,y)) -> ++(rev(y),rev(x)) rev(a()) -> a() rev(b()) -> b() Weak DP Rules: Weak TRS Rules: Signature: {rev/1} / {++/2,a/0,b/0} Obligation: Innermost basic terms: {rev}/{++,a,b} 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(1,1) -> 1 a_0() -> 2 a_1() -> 1 b_0() -> 2 b_1() -> 1 rev_0(2) -> 1 rev_1(2) -> 1 *** 1.1.1 Progress [(O(1),O(1))] *** Considered Problem: Strict DP Rules: Strict TRS Rules: Weak DP Rules: Weak TRS Rules: rev(++(x,x)) -> rev(x) rev(++(x,y)) -> ++(rev(y),rev(x)) rev(a()) -> a() rev(b()) -> b() Signature: {rev/1} / {++/2,a/0,b/0} Obligation: Innermost basic terms: {rev}/{++,a,b} Applied Processor: EmptyProcessor Proof: The problem is already closed. The intended complexity is O(1).