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Specification pcache
actualize
   store+set

with
   key
, 
   pcache-entry

   
by morphism
   :store → pcache; 
   :elem → key; 
   :data → pcache-entry; 
   :set → key-set; 
   ∅ → ∅; 
   ∅ → ∅; 
   [ ] → [ ]; 
   # → #; 
   -- → --; 
   ++ → ++; 
   # → #; 
   { } → { }; 
   ∪ → ∪; 
   ∩ → ∩; 
   \ → \; 
   -- → --; 
   \ → \; 
   | → |; 
   dom → dom; 
   ⊕ → ⊕; 
   ∈ → ∈; 
   ⊆ → ⊆; 
   ∈ → ∈; 
   ⊆ → ⊆; 
   ∈ → ∈; 
   st → pcache; 
   st0 → pcache0; 
   st1 → pcache1; 
   st2 → pcache2; 
   a → key; 
   b → key1; 
   c → key2; 
   d → pe; 
   d0 → pe0; 
   d1 → pe1; 
   d2 → pe2; 
   s → ks; 
   s0 → ks0; 
   s1 → ks1; 
   s2 → ks2; 
   [ ] → [ ]
end actualize