TPTP Problem File: KLE037+1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : KLE037+1 : TPTP v9.0.0. Released v4.0.0.
% Domain : Kleene Algebra
% Problem : Star reflexivity
% Version : [Hoe08] axioms.
% English : Star is reflexive, i.e., contains the identity.
% Refs : [Koz94] Kozen (1994), A Completeness Theorem for Kleene Algebr
% : [Hoe08] Hoefner (2008), Email to G. Sutcliffe
% Source : [Hoe08]
% Names :
% Status : Theorem
% Rating : 0.21 v9.0.0, 0.25 v8.1.0, 0.28 v7.5.0, 0.31 v7.4.0, 0.13 v7.3.0, 0.28 v7.2.0, 0.31 v7.1.0, 0.22 v7.0.0, 0.30 v6.4.0, 0.35 v6.3.0, 0.29 v6.2.0, 0.36 v6.1.0, 0.40 v6.0.0, 0.35 v5.5.0, 0.44 v5.4.0, 0.50 v5.3.0, 0.52 v5.2.0, 0.50 v5.1.0, 0.52 v5.0.0, 0.54 v4.1.0, 0.48 v4.0.1, 0.43 v4.0.0
% Syntax : Number of formulae : 17 ( 14 unt; 0 def)
% Number of atoms : 20 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 0 ~; 0 |; 0 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 0 prp; 2-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments : Inequational encoding
%------------------------------------------------------------------------------
%---Include axioms for Kleene algebra
include('Axioms/KLE002+0.ax').
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X0] : leq(one,star(X0)) ).
%------------------------------------------------------------------------------