Specification ops-impl

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enrich
   separation
with
   

   
   
   
   
   procedures alloc  : ref × heap nonfunctional nondeterministic;
              read ref × heap : obj  ;
              write ref × obj : heap nonfunctional ;
              free ref : heap nonfunctional ;
   
   
   

   

   axioms infinite-mem :  ⊦ ∃ r. ¬ r ∈ H ∧ r ≠ null;

   

   declarations alloc-decl : alloc(; r, H){choose r0 with ¬ r0 ∈ H ∧ r0 ≠ null in r := r0, H := H ++ r0};
                read-decl : read(r, H; o){if ¬ r ∈ H then abort else o := H[r]};
                write-decl : write(r, o; H){if ¬ r ∈ H then abort else H[r] := o};
                free-decl : free(r; H){if ¬ r ∈ H then abort else H := H -- r};
end enrich