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Theorem truncate-internal

afs_truncate_internal#(N, PAGENO; INODE, PBUF-OPT, OFFSET, SIZE, MODIFIED, ERR, DIRS, FILES; ASYNCED) { let INO = INODE.ino, CONTENT = FILES[INODE.ino].content, PBUF = ? in {OFFSET := INODE.size % VFS_PAGE_SIZE, SIZE := min(N, INODE.size); MODIFIED := INODE.size ≤ N ∧ OFFSET ≠ 0 ∧ (PAGENO ∈ CONTENT ∨ PBUF-OPT.some?); if MODIFIED then {if PBUF-OPT.some? then PBUF := PBUF-OPT.buf else PBUF := FILES[INO].content[PAGENO]; PBUF := fill(PBUF, zero, OFFSET, VFS_PAGE_SIZE - OFFSET); CONTENT[PAGENO] := PBUF; PBUF-OPT := some(PBUF)}; FILES[INO].content := CONTENT upto SIZE; let NEW_INODE = INODE in {NEW_INODE.size := N; afs_inode_sync#(NEW_INODE; DIRS, FILES)}; INODE := getinode(INODE.ino, DIRS, FILES); ERR := ESUCCESS} or fail#(; ; ERR); ASYNCED := ? }