Quiz (1 point)
Given that:
instruction #14 is
load dst=3 addr=1 imm=1
the PC at time 8 = 14
value of cell 1 at time 8 = 126
value of cell 127 at time 8 = 2
Prove that:
value of cell 3 at time 9 = 2
The following properties may be helpful:
- 126 + 1 = 127
- 8 + 1 = 9
if the following are true:
- instruction #i is
load dst=dst addr=addr imm=imm
- the PC at time t = i
then value of cell dst at time (t + 1) = value of cell ((value of cell addr at time t) + imm) at time t
- instruction #i is
if a = b, then a + c = b + c
if the following are true:
- a = b
- b = c
then a = c
if (value of cell 1 at time 8) + 1 = 127, then value of cell ((value of cell 1 at time 8) + 1) at time 8 = value of cell 127 at time 8
if the following are true:
- a = b
- b = c
then a = c
if the following are true:
- a = b
- b = c
then a = c
if 8 + 1 = 9, then value of cell 3 at time (8 + 1) = value of cell 3 at time 9
if the following are true:
- a = b
- a = c
then b = c
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.