[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 15 from proof refine-allocate-gnd (previous step)

ginval = ginval3, gstore = gstore3, nx = nx0, remove-refsize0(istore1) = istore1, remove-refsize0(gstore2) = gstore2, elems nx0 ∩ ginval3 = ∅, dom gstore2 ∪ elems nx0 = dom gstore3 ∪ ginval3, btree-inv(rp, adr, istore2, istore1, zh, fi, fi0), inv(istore1), inv(istore2), inv(gstore2), inv(gstore3 \ ginval3), ri-inj(fi0), ri-inj(fi), istore1 ⊑ istore2, ¬ dups(nx0) ⊦ ⟨index_allocate_gnd#(fi, fi0, gstore2, maxino0, ginval2, true; ginval3, gstore3, nx0; err0)⟩ (ginval3 = ginval ∧ gstore3 = gstore ∧ nx0 = nx ∧ EROFS = err0)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 16:
syn ↔ true, fi = fi1, fi0 = fi2, ginval = ginval3, ginval0 = ginval2, ginval1 = ginval3, gstore = gstore3, gstore0 = gstore2, gstore1 = gstore3, maxino = maxino0, nx = nx0, nx1 = nx0, remove-refsize0(gstore2) = gstore2, remove-refsize0(istore1) = istore1, elems nx0 ∩ ginval3 = ∅, dom gstore2 ∪ elems nx0 = dom gstore3 ∪ ginval3, btree-inv(rp, adr, istore2, istore1, zh, fi2, fi1), inv(gstore3 \ ginval3), inv(gstore2), inv(istore2), inv(istore1), ri-inj(fi2), ri-inj(fi1), istore1 ⊑ istore2 ⊦ ⟨if syn then {fail_or_success#(; ; err); if err = ESUCCESS then choose n with ¬ n ∈ gstore in gstore[n] := groupblock([], [], 0), nx := nx + n, ginval := ginval -- n} else abort⟩ (ginval = ginval1 ∧ gstore = gstore1 ∧ nx = nx1 ∧ EROFS = err), dups(nx0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: index_allocate_gnd# (PRI, PFI, PSTORE0, PMAXINO, P_OS, ISYNCED; PINVAL, PSTORE, PNL; ERR) {if ISYNCED then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then choose N with ¬ N ∈ PSTORE in PSTORE[N] := groupblock([], [], 0), PNL := PNL + N, PINVAL := PINVAL -- N} else abort };