[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 54 from proof synced-write-buf (previous step)

# lpt = # avol, # buf0 + n0 = align↓(# buf0 + n, EB_PAGE_SIZE), avol[m1] = mapped(buf0), m = buffered(m1).leb, buffered(m1).isbuf?, m1 < # avol, awbuf-inv(avol, buffered(m1)), avol0 ↓ avol[m1, mapped(buf0 + subarray(buf, 0, n))], n ≤ # buf, # buf0 + n ≤ LEB_SIZE, EB_PAGE_SIZE ≤ # buf0 % EB_PAGE_SIZE + n ⊦ ⟨skip; isbuf := true⟩ (synced(avol) ∧ avol0 ↓ avol), ⟨choose n1 with n1 ≠ 0 ∧ n1 < n ∧ is-aligned(# avol[m].data + n1, EB_PAGE_SIZE) in avol[m] := mapped(avol[m].data + subarray(buf, 0, n1)) ifnone skip; isbuf := true⟩ (synced(avol) ∧ avol0 ↓ avol), is-aligned(# buf0 + n, EB_PAGE_SIZE)

Heuristic symbolic execution applied rule skip right

And obtained the following new goals

Proof step 55:
# lpt = # avol, # buf0 + n0 = align↓(# buf0 + n, EB_PAGE_SIZE), avol[m1] = mapped(buf0), m = buffered(m1).leb, buffered(m1).isbuf?, m1 < # avol, awbuf-inv(avol, buffered(m1)), avol0 ↓ avol[m1, mapped(buf0 + subarray(buf, 0, n))], EB_PAGE_SIZE ≤ # buf0 % EB_PAGE_SIZE + n, # buf0 + n ≤ LEB_SIZE, n ≤ # buf ⊦ ⟨isbuf := true⟩ (synced(avol) ∧ avol0 ↓ avol), ⟨choose n1 with n1 ≠ 0 ∧ n1 < n ∧ is-aligned(# avol[m].data + n1, EB_PAGE_SIZE) in avol[m] := mapped(avol[m].data + subarray(buf, 0, n1)) ifnone skip; isbuf := true⟩ (synced(avol) ∧ avol0 ↓ avol), is-aligned(# buf0 + n, EB_PAGE_SIZE)

Proof step 54 from proof synced-write-buf (previous step)

Heuristic symbolic execution applied rule skip right

And obtained the following new goals

Rule argument

Additional information