Proof: Pc 6

Let's prove the following theorem:

if the following are true:
  • instruction #6 is addi dst=2 src=3 imm=0
  • the PC at time 6 = 6

then the PC at time 7 = 7

Instructions
Memory Cells
Program Counter Time
0 0
LW Computer Simulator

Proof:

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Given
1 instruction #6 is addi dst=2 src=3 imm=0
2 the PC at time 6 = 6
Proof Table
# Claim Reason
1 the PC at time (6 + 1) = 6 + 1 if instruction #6 is addi dst=2 src=3 imm=0 and the PC at time 6 = 6, then the PC at time (6 + 1) = 6 + 1
2 6 + 1 = 7 6 + 1 = 7
3 the PC at time (6 + 1) = the PC at time 7 if 6 + 1 = 7, then the PC at time (6 + 1) = the PC at time 7
4 the PC at time 7 = 7 if the PC at time (6 + 1) = 6 + 1 and the PC at time (6 + 1) = the PC at time 7 and 6 + 1 = 7, then the PC at time 7 = 7

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