[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 56 from proof inv-gc (previous step)

# lax = # gndx0, gstore2[n1] = groupblock(gndx0, lax, m0), remove-refsize0(gstore1) = gstore1, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, jmaxino ≠ 0, m0 ≠ 0, pmaxino ≠ 0, jro1 < jmaxino, p_os < pmaxino, fi2.inos < jmaxino, fi1.inos < pmaxino, inv(gstore2 \ jro0), inv(gstore1), inv(groupblock(gndx0, lax, m0)), refsize-cons(gstore2, range fi2), refsize-cons(gstore1, range fi1), ri-cons(fi2, nodes(gstore2 ↓, jro0)), ri-inj(fi2), ri-inj(fi1), n1 ∈ gstore2, n1 ∈ gstore1, pmaxino ≤ jmaxino, fi2.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, ¬ dups(nx), ¬ n1 ∈ jro0, ¬ n1 ∈ nx, err = ESUCCESS → ndx = nodes(gstore2 ↓, jro0)[referenced-adrs(lax.to-adr(n1), fi2)], jvalid4 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0), err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪if err = ESUCCESS then {gjournal_gc_copy#(jvalid1, fi1, gstore1, pmaxino, p_os; ndx, jvalid4, jmaxino0, jmaxino, fi2, jro0, gstore2, nx, jvalid; err); if err ≠ ESUCCESS then debug#("gjournal: failed to copy nodes of LEB " + n1.toString + " to journal head during GC")}; if err = ESUCCESS then index_sync#(fi2, fi1, jro0, gstore2, gstore1, nx, pmaxino, p_os; ; jvalid, err); if err = ESUCCESS then index_deallocate_gnd#(n1, fi2, fi1, gstore1, nx, pmaxino, p_os, jvalid; jro0, gstore2; err)⟫ ( jro1 < jmaxino ∧ pmaxino ≤ jmaxino ∧ fi2.inos < jmaxino ∧ jmaxino ≠ 0 ∧ (jvalid4 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0)) ∧ fi2.lebs ⊆ dom gstore2 ∧ refsize-cons(gstore2, range fi2) ∧ inv(gstore2 \ jro0) ∧ elems nx ∩ jro0 = ∅ ∧ ¬ dups(nx) ∧ dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0 ∧ ri-inj(fi2))

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

Additional information