[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,

Theorem inv-allocate

p_os < pmaxino, pmaxino ≤ jmaxino, fi.inos < jmaxino, fi0.inos < pmaxino, pmaxino ≠ 0, jvalid ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro), fi.lebs ⊆ dom gstore, fi0.lebs ⊆ dom gstore0, refsize-cons(gstore, range fi), refsize-cons(gstore0, range fi0), inv-journal(nx, gstore, gstore0, jro), ri-inj(fi), ri-inj(fi0), gstore1 = gstore, nx0 = nx, jro0 = jro ⊦ ⟪gjournal_journal_allocate#(jmaxino0, fi, fi0, gstore0, pmaxino, p_os; jvalid, jro, gstore, nx, jvalid0; err)⟫ ( (jvalid ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro)) ∧ fi.lebs ⊆ dom gstore ∧ refsize-cons(gstore, range fi) ∧ inv-journal(nx, gstore, gstore0, jro) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ dom gstore1 ⊆ dom gstore ∧ (nx.toSet \ nx0.toSet) ∩ dom gstore1 = ∅ ∧ abs-log(nx, gstore ↓) = abs-log(nx0, gstore1 ↓) ∧ nodes(gstore ↓, jro) = nodes(gstore1 ↓, jro0) ∧ (err = ESUCCESS → jvalid ∧ nx ≠ []))

View the proof

Infos about the proof