## TPTP Problem File: SWV428^2.p

View Solutions - Solve Problem

```%------------------------------------------------------------------------------
% File     : SWV428^2 : TPTP v7.2.0. Released v3.6.0.
% Domain   : Software Verification (Security)
% Problem  : ICL logic mapping to modal logic S4 implies 'Ex1'
% Version  : [Ben08] axioms : Augmented.
% 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   : Theorem
% Rating   : 0.56 v7.2.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.57 v6.1.0, 0.43 v6.0.0, 0.29 v5.5.0, 0.67 v5.4.0, 0.60 v5.3.0, 0.80 v5.2.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.33 v4.0.0, 0.67 v3.7.0
% Syntax   : Number of formulae    :   63 (   0 unit;  33 type;  24 defn)
%            Number of atoms       :  165 (  24 equality;  55 variable)
%            Maximal formula depth :    9 (   5 average)
%            Number of connectives :   90 (   3   ~;   1   |;   2   &;  83   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&)
%            Number of type conns  :  127 ( 127   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   38 (  33   :;   0   =)
%            Number of variables   :   49 (   2 sgn;   6   !;   4   ?;  39   ^)
%                                         (  49   :;   0  !>;   0  ?*)
%                                         (   0  @-;   0  @+)
% SPC      : TH0_THM_EQU_NAR

%------------------------------------------------------------------------------
%----Include axioms of multi modal logic
include('Axioms/LCL008^0.ax').
%----Include axioms of ICL logic
include('Axioms/SWV008^0.ax').
%----Include axioms for ICL notions of validity wrt S4
include('Axioms/SWV008^1.ax').
%------------------------------------------------------------------------------
%----The principals

thf(bob,type,(
bob: \$i > \$o )).

%----The atomic propositions
thf(deletfile1,type,(
deletefile1: \$i > \$o )).

%----The axioms of the example problem
thf(ax1,axiom,
( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ) )).

%----(admin says ((bob says deletefile1) => deletfile1))
thf(ax2,axiom,
( iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ) ) )).

%----(bob says deletefile1)
thf(ax3,axiom,
( iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) )).

%----We prove: It holds deletefile1
thf(ex1,conjecture,
( iclval @ ( icl_atom @ deletefile1 ) )).

%------------------------------------------------------------------------------
```