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  • Top File of PVS complex_alt Library

     
    %------------------------------------------------------------------------------
    % Complex Numbers (an alternative version)
    %
    %     Author: David Lester, Manchester University
    %
    %     Version 1.0            14/06/09  Initial Version
    %     Version 1.1            16/03/11  Additional rewrites added (DRL)
    %
    % This alternative formulation of the complex numbers integrates with
    % the standard PVS decision procedures. The technique is to auto-rewrite
    % complex equalities, such as z1 = z2 as the pair of rules:
    %
    % Re(z1) = Re(z2) & Im(Z1) = Im(z2)
    %
    %------------------------------------------------------------------------------
    top: THEORY
    
    BEGIN
    
      IMPORTING complex_types,  % Type definitions and basic arithmetic
                polar,          % Polar coordinates
                complex_lnexp,  % complex exp/ln
                complex_sqrt,   % complex sqrt
                complex_fun_ops % Functions [T->complex]
    
    END top
    

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