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Denotational proof languages

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Figure  2.1:  Inference  rules  for  a fragment  of  predicate  logic.
Figure  2.2:  Inference  rules  for  a  fragment  of  arithmetic.
Figure  2.3:  A  first-order  syntax tree  representing  the  proposition  (V x)  (I  y)  x  #  y.
Figure  2.4:  The  LF  proof of  2.1.
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