[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 5 from proof refine-check-commit (previous step)

p_os.keys = fo, fi = fi2, fi0 = ri, fi2 = fi1, fs = nodes(gstore2 ↓, jro2), gstore = gstore1, gstore0 = gstore2, jro = jro2, jro0 = jro1, log = abs-log(nx, gstore2 ↓), remove-refsize0(gstore1) = gstore1, dom remove-refsize0(gstore0) ∩ jro = ∅, elems nx ∩ jro2 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro2, jro1.keys.inodes?, p_os.keys.inodes?, jro1 < jmaxino, p_os < pmaxino, ri.inos < jmaxino, fi1.inos < pmaxino, inv(gstore2 \ jro2), inv(gstore1), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro2)), refsize-cons(gstore2, range ri), refsize-cons(gstore1, range fi1), ri-cons(ri, nodes(gstore2 ↓, jro2)), ri-inj(ri), ri-inj(fi1), pmaxino ≤ jmaxino, fi0.lebs ⊆ dom remove-refsize0(gstore0), ri.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, jvalid → jvalid0, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro2) ⊦ ⟪let jvalid = false in {index_requires_commit#(fi0, fi, jro, gstore0, gstore, nx, pmaxino, p_os, jvalid0; ; jvalid); if jvalid then gjournal_commit#(jmaxino, jro0, fi0; fi, jro, gstore0, gstore, nx, pmaxino, p_os, jvalid0; err) else err := ESUCCESS}⟫ ⟨aubifs_core_check_commit#(ri, jro1.keys; fi1, fo, fs, log, jvalid; err0)⟩ (p_os.keys = fo ∧ fi = fi1 ∧ log = abs-log(nx, gstore0 ↓) ∧ fs = nodes(gstore0 ↓, jro) ∧ (jvalid → jvalid0) ∧ err = err0), jmaxino = 0, pmaxino = 0, dups(nx)

Heuristic symbolic execution applied rule let right

And obtained the following new goals

Rule argument

Additional information