Proof: Pc 10

Let's prove the following theorem:

if the following are true:

instruction #16 is store src=3 addr=1 imm=0
the PC at time 10 = 16

then the PC at time 11 = 17

Proof:

View as a tree | View dependent proofs | Try proving it

Given

1	instruction #16 is `store src=3 addr=1 imm=0`
2	the PC at time 10 = 16

Proof Table

#	Claim	Reason
1	the PC at time (10 + 1) = 16 + 1	if instruction #16 is `store src=3 addr=1 imm=0` and the PC at time 10 = 16, then the PC at time (10 + 1) = 16 + 1 (STORE Instruction Property 3)
2	10 + 1 = 11	10 + 1 = 11 (Fixed Value Statement)
3	16 + 1 = 17	16 + 1 = 17 (Fixed Value Statement)
4	the PC at time (10 + 1) = the PC at time 11	if 10 + 1 = 11, then the PC at time (10 + 1) = the PC at time 11 (Substitution)
5	the PC at time 11 = 17	if the PC at time (10 + 1) = 16 + 1 and the PC at time (10 + 1) = the PC at time 11 and 16 + 1 = 17, then the PC at time 11 = 17 (Transitive Property Application 2)

Comments

Please log in to add comments