Initial Problem

Start: start
Program_Vars: Arg_0, Arg_1
Temp_Vars: C
Locations: eval, start
Transitions:
0:eval(Arg_0,Arg_1) -> eval(Arg_0-1,C):|:0<=Arg_0
1:eval(Arg_0,Arg_1) -> eval(Arg_0,Arg_1-1):|:0<=Arg_1
2:start(Arg_0,Arg_1) -> eval(Arg_0,Arg_1)

Preprocessing

Problem after Preprocessing

Start: start
Program_Vars: Arg_0, Arg_1
Temp_Vars: C
Locations: eval, start
Transitions:
0:eval(Arg_0,Arg_1) -> eval(Arg_0-1,C):|:0<=Arg_0
1:eval(Arg_0,Arg_1) -> eval(Arg_0,Arg_1-1):|:0<=Arg_1
2:start(Arg_0,Arg_1) -> eval(Arg_0,Arg_1)

MPRF for transition 0:eval(Arg_0,Arg_1) -> eval(Arg_0-1,C):|:0<=Arg_0 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

eval [Arg_0+1 ]

All Bounds

Timebounds

Overall timebound:inf {Infinity}
0: eval->eval: Arg_0+1 {O(n)}
1: eval->eval: inf {Infinity}
2: start->eval: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
0: eval->eval: Arg_0+1 {O(n)}
1: eval->eval: inf {Infinity}
2: start->eval: 1 {O(1)}

Sizebounds

0: eval->eval, Arg_0: 2*Arg_0+1 {O(n)}
1: eval->eval, Arg_0: 2*Arg_0+1 {O(n)}
2: start->eval, Arg_0: Arg_0 {O(n)}
2: start->eval, Arg_1: Arg_1 {O(n)}