TPTP Axioms File: SWV008^2.ax


%------------------------------------------------------------------------------
% File     : SWV008^2 : TPTP v7.5.0. Released v3.6.0.
% Domain   : Software Verification (Security)
% Axioms   : ICL^=> logic based upon modal logic
% Version  : [Ben08] axioms.
% English  :

% Refs     : [GA08]  Garg & Abadi (2008), A Modal Deconstruction of Access
%          : [Ben08] Benzmueller (2008), Automating Access Control Logics i
%          : [BP09]  Benzmueller & Paulson (2009), Exploring Properties of
% Source   : [Ben08]
% Names    :

% Status   : Satisfiable
% Syntax   : Number of formulae    :    2 (   0 unit;   1 type;   1 defn)
%            Number of atoms       :   17 (   1 equality;   2 variable)
%            Maximal formula depth :    7 (   6 average)
%            Number of connectives :    4 (   0   ~;   0   |;   0   &;   4   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&;   0  !!;   0  ??)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +)
%            Number of symbols     :    6 (   1   :;   0  :=)
%            Number of variables   :    2 (   0 sgn;   0   !;   0   ?;   2   ^)
%                                         (   2   :;   0  :=;   0  !>;   0  ?*)
% SPC      : 

% Comments : Requires LCL008^0.ax SWV008^0.ax
%          : THF0 syntax
%------------------------------------------------------------------------------
%----The new connective 'speaks for'
thf(icl_impl_princ_type,type,(
    icl_impl_princ: ( $i > $o ) > ( $i > $o ) > $i > $o )).

thf(icl_impl_princ,definition,
    ( icl_impl_princ
    = ( ^ [A: $i > $o,B: $i > $o] :
          ( mbox @ rel @ ( mimpl @ A @ B ) ) ) )).

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