Initial Problem

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

Preprocessing

Problem after Preprocessing

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

MPRF for transition 0:f(Arg_0,Arg_1) -> f(Arg_0+1,Arg_1+2):|:Arg_1+1<=Arg_0 of depth 1:

new bound:

Arg_0+Arg_1 {O(n)}

MPRF:

f [Arg_0-Arg_1 ]

All Bounds

Timebounds

Overall timebound:Arg_0+Arg_1+1 {O(n)}
0: f->f: Arg_0+Arg_1 {O(n)}
1: start->f: 1 {O(1)}

Costbounds

Overall costbound: Arg_0+Arg_1+1 {O(n)}
0: f->f: Arg_0+Arg_1 {O(n)}
1: start->f: 1 {O(1)}

Sizebounds

0: f->f, Arg_0: 2*Arg_0+Arg_1 {O(n)}
0: f->f, Arg_1: 2*Arg_0+3*Arg_1 {O(n)}
1: start->f, Arg_0: Arg_0 {O(n)}
1: start->f, Arg_1: Arg_1 {O(n)}