NASA Langley PVS Libraries (Version 5.2.5) 5.2.5 a few lemmas added to analysis 5.2.4 a few lemmas added to reals and vectors 5.2.3 a few lemmas added to trig and vectors, vect2D_trunc theory added 5.2.2 added theories angles_2D, between_2D to vectors library -- March 14, 2008 5.2.1 A few proofs were fixed -- March 6, 2008 5.2 Changes (Feb 29, 2008) -------------------------- -- Add library "fs" which is just a holding place for theories that should be in finite_sets. These will hopefully be moved there in the next release of PVS. -- moved abs_props and real_facts into reals library. NOTE (stop-rewrite "abs_0") (stop-rewrite "abs_nat") may be helpful in repairing broken proofs that use analysis library or reals@abs_lems. Can also use AUTO_REWRITE- in theory. 5.1.5 --> added vectors_sign theories to vectors library 5.1.4 --> added cross_3D to vectors library, sigma over vector-valued functions 2-11-08 5.1 Changes (Jan 25, 2008) -------------------------- -- The product operator added to the reals and ints library. A generic theory is provided in product.pvs, which is similar to sigma.pvs. The following theories provide additional theorems for specific domains: product_below, product_int, product_nat, product_posnat, product_upto -- An experimental alternate finite sequences library "fseqs" added to structures library 5.0 Changes (Jan 11, 2008) -------------------------- -- The types of the inverse trig functions have been simplified -- no internal function calls 4.9 Changes (Jan 2, 2008) --------------------------- -- Number Theory library contents moved to ints -- ints library made more consistent with prelude 4.8 Changes (Dec 17, 2007) --------------------------- -- New Scott Library provided by David Lester of Manchester University -- New sigma_set library provided by David Lester of Manchester University -- New lemmas in series library about absolute convergence -- Improvements to algebra library -- factor groups added 4.7 Changes (Nov 20, 2007) --------------------------- -- improvements to atan_approx and trig_approx in trig_fnd library -- improvements to interval library (Interval-4.a) -- improvements to manip 4.6 Changes (Nov 8, 2007) --------------------------- -- Improved sigma definition (simpler) -- old_sigma* theories retained NOTE: this will break some proofs, but an extra (expand "sigma") or replacing (expand"sigma") with (rewrite "sigma_rew") often easily fixes the proofs 4.5 Changes (Nov 1, 2007) --------------------------- -- Add quad_minmax to reals library -- improved closest_approach* in vectors library 4.4 Changes (Sept 17, 2007) --------------------------- -- New topology library added -- Some new lemmas in trig_fnd -- A few additions to algebra libray 4.3 Changes (July 19, 2007) --------------------------- -- graphs library: Menger's Theorem now general due to Jon Sjogren 4.2 Changes (May 10, 2007) --------------------------- -- complex library updated by David Lester -- added co_structures library with Jerry James's sequence theories -- fixed unproved theorems in float (Munoz) -- proof in lnexp_fnd/hyperbolic repaired (Lester) 4.1 Changes (April 24, 2007) --------------------------- all proofs in complex library repaired by David Lester 4.0 Changes (Dec 8, 2006) ------------------------- updated to PVS 4.0 3.2.2 Changes (Mar 24, 2006) ------------------------------- moved nth_derivatives, and taylors from series to analysis library. simplified definition of 'powerseq" in series library. 3.2.1.9 Changes (Nov 30, 2005) ------------------------------- restored float library 3.2.1.8 Changes (Oct 25, 2005) ------------------------------- Removed IMPORTING reals@ in reals library that was causing some problems. 3.2.1.7 Changes (Sept 15, 2005) ------------------------------- Added new intervals library 3.2.1.6 Changes (July 19, 2005) ------------------------------- A matroids and mappings theory was added to the graphs library. 3.2.1.5 Changes (May 12, 2005) ------------------------------ NAME-CHANGES: composition_continuous1 -> composition_cont composition_continuous2 -> composition_cont_set composition_continuous3 -> composition_cont_fun formatting in analysis update to sets_aux, orders 3.2.1.4 Changes (April 21, 2005) -------------------------------- Split sets_aux into sets_aux and an orders library fixed atan2_props 3.2.1.3 Changes --------------- The directory lnexp now contains an axiomatic version. The foundational version is in lnexp_fnd. trig -- updated to match foundational version (trig_fnd). 3.2.1.2 Changes --------------- float -- new library reals -- factorial props lnexp -- ln_exp_series_alt modified 3.2.1.1 Changes ------------- trig_fnd -- improvements to exp_approx, ln_approx, tan_approx, trig_ineq, and trig_degree lnexp -- theories ln_exp_series_alt, ln_exp_ineq added 3.2.1 Changes ------------- reals -- new theory: log_nat reals -- sqrt_approx updated lnexp -- ln_approx updated lnexp -- infinite series for ln added in theory ln_series series -- integral_powerseries theorem completed analysis -- integral_chg_var, integral_dif_doms added, fundamental4 lemma added.