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Proof step 18 from proof inv-add-gnds (previous step)

err = ESUCCESS ↔ # lax = # gndx, ginval = ginval1, ginval0 = ginval2, gstore = gstore1[pstate.lnum, gstore1[pstate.lnum].gndlist:= (gstore1[pstate.lnum].gndlist + prefixn(# lax, gndx))] [pstate.lnum, gstore1[pstate.lnum, gstore1[pstate.lnum].gndlist:= (gstore1[pstate.lnum].gndlist + prefixn(# lax, gndx))][pstate.lnum] .ladrlist:= ( gstore1[pstate.lnum, gstore1[pstate.lnum].gndlist:= (gstore1[pstate.lnum].gndlist + prefixn(# lax, gndx))][pstate.lnum].ladrlist + lax) ], istore = istore1, istore0 = istore2, pstate = journal(nx.last), remove-refsize0(istore1) = istore1, remove-refsize0(gstore0) = gstore0, elems nx ∩ ginval2 = ∅, dom gstore0 ∪ elems nx = dom gstore1 ∪ ginval2, inv(gstore1[nx.last]), inv(istore1), inv(istore2), inv(gstore0), inv(gstore1 \ ginval2), inv-flashsize(prefixn(# lax, gndx), lax), pstate.lnum ∈ gstore1, pstate.lnum ∈ gstore1[pstate.lnum, gstore1[pstate.lnum].gndlist:= (gstore1[pstate.lnum].gndlist + prefixn(# lax, gndx))], nx.last ∈ gstore1, # lax ≤ # gndx, istore1 ⊑ istore2, pstate.index? ∨ pstate.journal?, ⌊err⌋ ∨ err = ESUCCESS ⊦ ⟪ax := ?, pstate := readonly; syn := ?⟫ ( inv(gstore \ ginval2) ∧ dom gstore0 ∪ elems nx = dom gstore ∪ ginval2 ∧ (pstate.journal? → pstate.lnum = nx.last ∧ pstate.lnum ∈ gstore) ∧ (pstate.index? → pstate.lnum ∈ istore2) ∧ (pstate = unbuffered → syn)), err = ESUCCESS, nx = [], dups(nx), dups(gstore1[pstate.lnum].ladrlist + lax)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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