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Proof step 1 from proof write-unknown (conclusion) (back to tree)

((r =>_ * hP))(h) ⊦ ⟪write(r, o; h)⟫ ((r => o * hP))(h)

Heuristic weak unfold applied rule call right

And obtained the following new goals

Rule argument

pos: right 1

Additional information

Used simplifier rules: write(r, o; h){if ¬ r ∈ h then abort else h[r] := o};

Proof step 2 from proof write-unknown (previous step) (back to tree)

((r =>_ * hP))(h) ⊦ ⟪if ¬ r ∈ h then abort else h[r] := o⟫ ((r => o * hP))(h)

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Rule argument

pos: right 1

Additional information

Used simplifier rules: sep-ass: ⊦ (hP0 * hP1) * hP2 = hP0 * hP1 * hP2; from specification heap-sep sep-com: ⊦ hP0 * hP1 = hP1 * hP0; from specification heap-sep ⊦ ((r =>_ * hP))(h) → r ∈ h; (s)

Proof step 3 from proof write-unknown (previous step) (back to tree)

((r =>_ * hP))(h) ⊦ ⟪h[r] := o⟫ ((r => o * hP))(h)

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ ((r =>_ * hP))(h) → r ∈ h; (s) r ∈ h ⊦ ((r =>_ * hP))(h) → (((r => o0 * hP))(h[r, o1]) ↔ o0 = o1); (ss) sep-ass: ⊦ (hP0 * hP1) * hP2 = hP0 * hP1 * hP2; from specification heap-sep sep-com: ⊦ hP0 * hP1 = hP1 * hP0; from specification heap-sep

Proof Tree for write-unknown (View conclusion)

The following image shows the proof tree of sequent calculus. The proved goal is at the bottom. You can click on the nodes to view additional rules. See here for details on colors in a proof tree.

the proof tree