Pearl-jv/document/root.tex
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    35 smoothly adapt this theory to a theorem prover environment, in our case
    35 smoothly adapt this theory to a theorem prover environment, in our case
    36 Isabelle/HOL.  We present a formalisation of this work that is based on a
    36 Isabelle/HOL.  We present a formalisation of this work that is based on a
    37 unified atom type and that represents permutations by bijective functions from
    37 unified atom type and that represents permutations by bijective functions from
    38 atoms to atoms. Interestingly, we allow swappings, which are permutations
    38 atoms to atoms. Interestingly, we allow swappings, which are permutations
    39 build from two atoms, to be ill-sorted.  Furthermore we extend the nominal
    39 build from two atoms, to be ill-sorted.  Furthermore we extend the nominal
    40 logic work with names that carry additional information.
    40 logic work with names that carry additional information and with abstractions
       
    41 that bind finite sets of names.
    41 \end{abstract}
    42 \end{abstract}
    42 
    43 
    43 % generated text of all theories
    44 % generated text of all theories
    44 \input{session}
    45 \input{session}
    45 
    46