Quiz (1 point)
Given that:
instruction #1 is
store src=7 addr=6 imm=0
the PC at time 15 = 1
value of cell 6 at time 15 = 14
value of cell 7 at time 15 = 45
Prove that:
value of cell 14 at time 16 = 45
The following properties may be helpful:
- a + 0 = a
- 15 + 1 = 16
if the following are true:
- instruction #i is
store src=src addr=addr imm=imm
- the PC at time t = i
then value of cell ((value of cell addr at time t) + imm) at time (t + 1) = value of cell src 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 6 at time 15) + 0 = 14, then value of cell ((value of cell 6 at time 15) + 0) at time (15 + 1) = value of cell 14 at time (15 + 1)
if 15 + 1 = 16, then value of cell 14 at time (15 + 1) = value of cell 14 at time 16
if the following are true:
- a = b
- b = d
- a = c
then d = c
if the following are true:
- a = b
- b = c
then a = 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.