| # buf = VFS_PAGE_SIZE, pcache[datakey(m, n)] = mkpentry(true, buf), files0[m] = mkfile(m0, md, # links(m, dirs), content1), files1[m] = mkfile(m0, md, # links(m, dirs), content), n * VFS_PAGE_SIZE < m2, afs-cons(dirs, files1[m, mkfile(m0, md, # links(m, dirs), content[n, buf])]), afs-cons(dirs, files1), afs-cons(dirs, files0), pcache-cons(pcache1, dirs, files0), pcache-cons(pcache, dirs, files1), m ∈ files0, m ∈ files1, datakey(m, n) ∈ pcache, ∀ key. (key ∈ pcache ↔ key ∈ pcache1) ∧ pcache[key].page = pcache1[key].page ∧ (pcache[key].dirty → pcache1[key].dirty), ∀ pageno. (pageno < n ⊃ (pageno ∈ content ↔ pageno ∈ content1 ⊕ mkcontent(m, pcache1)) ∧ content[pageno] = (content1 ⊕ mkcontent(m, pcache1))[pageno] ;(pageno ∈ content ↔ pageno ∈ content1) ∧ content[pageno] = content1[pageno] ) ⊦ [choose err0 with ⌊err0⌋ ∨ err0 = ESUCCESS in err := err0; choose bv with true in asynced := bv; ino := m; if err = ESUCCESS then {asynced := false; pcache_set_status#(ino, n, asynced; err, pcache)}; n0 := n + 1] ( pcache-cons(pcache, dirs, files1[m, files1[m].content:= content[n, buf]]) ∧ ino = m ∧ (∀ key. (key ∈ pcache ↔ key ∈ pcache1) ∧ pcache[key].page = pcache1[key].page ∧ (pcache[key].dirty → pcache1[key].dirty)) ∧ ( err = ESUCCESS → (∀ pageno. (pageno < n0 ⊃ (pageno ∈ content[n, buf] ↔ pageno ∈ content1 ⊕ mkcontent(m, pcache1)) ∧ content[n, buf][pageno] = (content1 ⊕ mkcontent(m, pcache1))[pageno] ;(pageno ∈ content[n, buf] ↔ pageno ∈ content1) ∧ content[n, buf][pageno] = content1[pageno] )))) |
# buf = VFS_PAGE_SIZE, files1[m] = mkfile(m0, md, # links(m, dirs), content), files0[m] = mkfile(m0, md, # links(m, dirs), content1), pcache[datakey(m, n)] = mkpentry(true, buf), n * VFS_PAGE_SIZE < m2, afs-cons(dirs, files0), afs-cons(dirs, files1), afs-cons(dirs, files1[m, mkfile(m0, md, # links(m, dirs), content[n, buf])]), pcache-cons(pcache, dirs, files1), pcache-cons(pcache1, dirs, files0), datakey(m, n) ∈ pcache, m ∈ files1, m ∈ files0, ∀ pageno. (pageno < n ⊃ (pageno ∈ content ↔ pageno ∈ content1 ⊕ mkcontent(m, pcache1)) ∧ content[pageno] = (content1 ⊕ mkcontent(m, pcache1))[pageno] ;(pageno ∈ content ↔ pageno ∈ content1) ∧ content[pageno] = content1[pageno] ), ∀ key. (key ∈ pcache ↔ key ∈ pcache1) ∧ pcache[key].page = pcache1[key].page ∧ (pcache[key].dirty → pcache1[key].dirty), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ [err := err0; choose bv with true in asynced := bv; ino := m; if err = ESUCCESS then {asynced := false; pcache_set_status#(ino, n, asynced; err, pcache)}; n0 := n + 1] ( pcache-cons(pcache, dirs, files1[m, files1[m].content:= content[n, buf]]) ∧ ino = m ∧ (∀ key. (key ∈ pcache ↔ key ∈ pcache1) ∧ pcache[key].page = pcache1[key].page ∧ (pcache[key].dirty → pcache1[key].dirty)) ∧ ( err = ESUCCESS → (∀ pageno. (pageno < n0 ⊃ (pageno ∈ content[n, buf] ↔ pageno ∈ content1 ⊕ mkcontent(m, pcache1)) ∧ content[n, buf][pageno] = (content1 ⊕ mkcontent(m, pcache1))[pageno] ;(pageno ∈ content[n, buf] ↔ pageno ∈ content1) ∧ content[n, buf][pageno] = content1[pageno] ))))