| err = err0, err = ESUCCESS, err = ESUCCESS → true ∧ inv(∅ \ ∅) ∧ inv(∅) ∧ elems [] ∩ ∅ = ∅ ∧ ¬ dups([]) ∧ dom ∅ ∪ elems [] = dom ∅ ∪ ∅ ∧ remove-refsize0(∅) = ∅ ∧ inv(∅) ∧ inv(∅) ∧ ∅ ⊑ ∅ ∧ remove-refsize0(∅) = ∅ ∧ (unbuffered.journal? → [] ≠ [] ∧ unbuffered.lnum = [].last ∧ unbuffered.lnum ∈ ∅) ∧ (unbuffered.index? → unbuffered.lnum ∈ ∅), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪let n = ? in {apersistence_get_leb_size#(adr, ∅, ∅, ∅, ∅, ∅, [], maxino4, ∅, unbuffered, true; ; n); ginval := ∅, ginval0 := ∅; istore := ∅, istore0 := ∅, gstore := ∅, gstore0 := ∅, nx := [], maxino := maxino4, syn := true, pstate := unbuffered; if err = ESUCCESS then let ind = indexnode(mkbrarray(BRANCH_SIZE), true, 0) in let maxino1 = ind.flashsize in {if n < maxino1 then {debug#("btree: initial index node to large"); err := ENOSPC}; if err = ESUCCESS then apersistence_allocate_ind#(adr, istore, ginval0, gstore0, gstore, nx, maxino, ginval, syn; istore0, pstate; err); if err = ESUCCESS then apersistence_add_ind#(ind, adr, istore, ginval0, gstore0, gstore, nx, maxino, ginval; adr0, istore0, pstate, syn; err); if err = ESUCCESS then apersistence_set_iblock_refsize# (adr0.lnum, maxino1, adr, istore, ginval0, gstore0, gstore, nx, maxino, ginval, pstate, syn; istore0); if err = ESUCCESS then apersistence_sync#(adr, istore0, istore, ginval0, gstore0, gstore, nx, maxino, ginval; pstate, syn; err); if err = ESUCCESS then let ns = ∅ in apersistence_commit# (adr0, maxino4, syn; ns, istore0, ginval0, gstore0, adr, istore, gstore, nx, maxino, ginval; pstate, err)}}⟫ ( ( err = ESUCCESS → syn ∧ (∃ ri, fi. btree-inv(null, adr, istore0, istore, zh, ri, fi)) ∧ inv(gstore0 \ ginval0) ∧ inv(gstore) ∧ elems nx ∩ ginval0 = ∅ ∧ ¬ dups(nx) ∧ dom gstore ∪ elems nx = dom gstore0 ∪ ginval0 ∧ remove-refsize0(gstore) = gstore ∧ inv(istore0) ∧ inv(istore) ∧ istore ⊑ istore0 ∧ remove-refsize0(istore) = istore ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore0) ∧ (pstate.index? → pstate.lnum ∈ istore0)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → btree-inv(null, adr, istore0, istore, zh, ∅, ∅) ∧ gstore0 = ∅ ∧ ginval0 = ∅ ∧ maxino = maxino4 ∧ nx = [] ∧ ginval = ∅)) |
err = ESUCCESS, err = err0, err = ESUCCESS → true ∧ inv(∅ \ ∅) ∧ inv(∅) ∧ elems [] ∩ ∅ = ∅ ∧ ¬ dups([]) ∧ dom ∅ ∪ elems [] = dom ∅ ∪ ∅ ∧ remove-refsize0(∅) = ∅ ∧ inv(∅) ∧ inv(∅) ∧ ∅ ⊑ ∅ ∧ remove-refsize0(∅) = ∅ ∧ (unbuffered.journal? → [] ≠ [] ∧ unbuffered.lnum = [].last ∧ unbuffered.lnum ∈ ∅) ∧ (unbuffered.index? → unbuffered.lnum ∈ ∅), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪apersistence_get_leb_size#(adr, ∅, ∅, ∅, ∅, ∅, [], maxino4, ∅, unbuffered, true; ; n); ginval := ∅, ginval0 := ∅; istore := ∅, istore0 := ∅, gstore := ∅, gstore0 := ∅, nx := [], maxino := maxino4, syn := true, pstate := unbuffered; if err = ESUCCESS then let ind = indexnode(mkbrarray(BRANCH_SIZE), true, 0) in let maxino1 = ind.flashsize in {if n < maxino1 then {debug#("btree: initial index node to large"); err := ENOSPC}; if err = ESUCCESS then apersistence_allocate_ind#(adr, istore, ginval0, gstore0, gstore, nx, maxino, ginval, syn; istore0, pstate; err); if err = ESUCCESS then apersistence_add_ind#(ind, adr, istore, ginval0, gstore0, gstore, nx, maxino, ginval; adr0, istore0, pstate, syn; err); if err = ESUCCESS then apersistence_set_iblock_refsize# (adr0.lnum, maxino1, adr, istore, ginval0, gstore0, gstore, nx, maxino, ginval, pstate, syn; istore0); if err = ESUCCESS then apersistence_sync#(adr, istore0, istore, ginval0, gstore0, gstore, nx, maxino, ginval; pstate, syn; err); if err = ESUCCESS then let ns = ∅ in apersistence_commit# (adr0, maxino4, syn; ns, istore0, ginval0, gstore0, adr, istore, gstore, nx, maxino, ginval; pstate, err)}⟫ ( ( err = ESUCCESS → syn ∧ (∃ ri, fi. btree-inv(null, adr, istore0, istore, zh, ri, fi)) ∧ inv(gstore0 \ ginval0) ∧ inv(gstore) ∧ elems nx ∩ ginval0 = ∅ ∧ ¬ dups(nx) ∧ dom gstore ∪ elems nx = dom gstore0 ∪ ginval0 ∧ remove-refsize0(gstore) = gstore ∧ inv(istore0) ∧ inv(istore) ∧ istore ⊑ istore0 ∧ remove-refsize0(istore) = istore ∧ (pstate.journal? → nx ≠ [] ∧ pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore0) ∧ (pstate.index? → pstate.lnum ∈ istore0)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → btree-inv(null, adr, istore0, istore, zh, ∅, ∅) ∧ gstore0 = ∅ ∧ ginval0 = ∅ ∧ maxino = maxino4 ∧ nx = [] ∧ ginval = ∅))