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  • Top File of PVS analysis Library

     
    top: THEORY
    %------------------------------------------------------------------------
    %
    %    top_limits        -- Limit of a functions [T -> real] at a point  
    %    top_sequence      -- Limits and operations on sequences of reals
    %    top_continuity    -- Continuous functions [T -> real] 
    %    top_derivative    -- Differential Calculus  
    %    top_integral      -- Integral Calculus
    %
    %  See top_limits, top_sequences, top_continuity, top_derivative
    %  for summary of contents
    %
    %      by Bruno Dutertre     Royal Holloway & Bedford New College
    %         Rick Butler        NASA Langley Research Center
    %         Cesar Munoz        National Institute For Aerospace
    %         David Lester       Manchester University 
    %         Anthony Narkawicz  NASA Langley Research Center
    % 
    %      Version 1.0    last modified 7/12/96
    %      Version 1.1    updated to PVS 2.3   8/1/2000 by Rick Butler
    %      Version 1.2    updated to PVS 2.3   3/1/2001 by Bruno in
    %                     a slightly different way.
    %                     Bruno ELIMINATED "const_fun" and associated
    %                     conversion.  Now uses prelude "K_conversion".
    %                     RWB added back "const_fun" definition to
    %                     help with upward compatibility (real_fun_ops).
    %
    %                     Bruno changed "below_bounded" to "bounded_below?"
    %                           and changed structure of its definition.
    %                     Bruno changed "above_bounded" to "bounded_above?"
    %                           and changed structure of its definition.
    %      Version 1.3    Added theorem in derivatives_more 5/22/01
    %      Version 1.4    put back "const_fun" for PVS2.4
    %      Version 1.5    Used MACRO feature to rename all predicates
    %                     in real_fun_preds, adding ? to name    2/28/02
    %      Version 1.6    Added quadratic theory in "special_functions"  3/14/02
    %      Version 1.7    quadratic theory moved to reals
    %      Version 1.8    removed open? assugmption in integral theories 4/2/03
    %      Version 1.9    removed duplicates with reals library 4/14/03
    %      Version 2.0    proved step_function_integrable? in integral_step 
    %      Version 2.1    ln_exp moved to lnexp library (12/8/03)
    %      Version 2.2    David Lester added derivatives of inverse functions
    %                     and derivative of sqrt
    %      Version 2.3    NAME CHANGES -- See File NAME-CHANGES.txt
    %      Version 2.4    ADDED integral_chg_var and integral_diff_doms
    %      Version 2.5    NAME CHANGES: continuous2 --> cont_fun
    %      Version 2.6    moved nth_derivatives, and taylors here from series
    %      Version 2.7    add integration_by_parts and indefinite_integral 7/20/07
    %      Version 2.8    metric spaces, compactness, uniform continuity
    %
    %  NOTE: top_integral relies on the Di Vito strategy package
    %  NOTE: theories named  *_scaf are proof scaffolding, not intended for users
    %------------------------------------------------------------------------
    BEGIN
    
      IMPORTING top_limits, 
                top_sequences, 
                top_continuity,
                top_metric_spaces, 
                top_derivative,
    	    top_riesz_representation,
                top_integral  %  requires Manip strategies
    
    END top
    

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