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Specification eraseblock
enrich
   buffer, 
   nat-div
, 
   align
with
   

   
   constants  LEB_SIZE : nat;
              PEB_SIZE : nat;
              PAGES_PER_LEB : nat;
              PAGES_PER_PEB : nat;
              EB_PAGE_SIZE : nat;
              emptyleb : buffer;
              emptypeb : buffer;
              emptypage : buffer;
   
   predicates  isempty : buffer;
               isempty : buffer × nat × nat;
   
   
   
   

   

   axioms lebsize :  ⊦ LEB_SIZE = PAGES_PER_LEB * EB_PAGE_SIZE;
          used for: ls;
          pebsize :  ⊦ PEB_SIZE = PAGES_PER_PEB * EB_PAGE_SIZE;
          used for: ls;
          peb-size :  ⊦ PAGES_PER_PEB = PAGES_PER_LEB + 2;
          used for: ls;
          leb-size :  ⊦ PAGES_PER_LEB ≠ 0;
          used for: s, ls;
          page-size :  ⊦ EB_PAGE_SIZE ≠ 0;
          used for: s, ls;
          emptyleb :  ⊦ emptyleb = mkempbuf(LEB_SIZE);
          used for: ls;
          emptypeb :  ⊦ emptypeb = mkempbuf(PEB_SIZE);
          used for: ls;
          emptypage :  ⊦ emptypage = mkempbuf(EB_PAGE_SIZE);
          used for: ls;
          isempty :  ⊦ isempty(buf) ↔ isempty(buf, 0, # buf);
          used for: ls;
          isempty-range-base :  ⊦ isempty(buf, n, 0);
          used for: s, ls;
          is-empty-range-rec :  ⊦ n + m < # buf → (isempty(buf, n, m + 1) ↔ buf[n + m] = empty ∧ isempty(buf, n, m));
          used for: ls;

   

   
end enrich