Details About PVS Reals Library
The PVS dump file provides elementary properties of the
reals and operations over reals. It contains the following theories:
top_sigma, % set of summation theories
product_real, % product of a function
bounded_reals, % defines sup, inf, max, min
real_sets, % more properties of bounded sets of reals
abs_lems, % additional properties about absolute value
exponent_props, % additional properties of expt
sqrt, % non-axiomatic version of sqrt
log_nat, % Natural and real part of a logarithm
% (Requires Manip+Field)
sqrt_approx, % approximation to sqrt
% (Requires Manip+Field)
sqrt_rew, % auto-rewrites for sqrt
real_fun_ops, % adding, subtracting, etc on functions
real_fun_preds, % increasing?, decreasing?, etc on functions
real_fun_props, % properties about defs in real_fun_preds
sign, % properties of the sign function
factorial, % factorial function
factorial_props, % additional properties of factorial function
quadratic, % Solution of quadratic equations
quadratic_minmax, % Minimum and Maximum of quadratic equations
quad_minmax, % easier to use quadratic_minmax
binomial, % Binomial coefficient
polynomials, % polynomials
harmonic_polynomials,
circles_and_lines
DEPENDENCIES:
      sqrt_approx proofs use the Munoz/Mayero Field strategies.
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Curator and Responsible NASA Official:
Ricky W. Butler
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last modified: 20 June 2000 (10:27:18)