Specification separation-rg

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enrich
   maplet, 
   gownership
with
   

   
   
   functions  ! : id × (ref → id) × (heap → bool) → heap → bool;
   predicates  rely : id × (ref → id) × heap × (ref → id) × heap;
               guar : id × (ref → id) × heap × (ref → id) × heap;
   
   variables  me : id;
              O0 : ref → id;
              O1 : ref → id;
              O2 : ref → id;
   
   

   

   axioms rely :  ⊦ rely(me, O1, H1, O2, H2) ↔ (∀ r. (O1(r) = me ↔ O2(r) = me) ∧ (O1(r) = me → (r ∈ H1 ↔ r ∈ H2) ∧ (r ∈ H1 → H1[r] = H2[r])));
          guar :  ⊦ guar(me, O1, H1, O2, H2) ↔ (∀ id. id ≠ me → rely(id, O1, H1, O2, H2));
          owned :  ⊦ !(id, O, P)(H) ↔ P(H) ∧ (∀ r. r ∈ H → O(r) = id);

   

   
end enrich