state of development Isabelle2002 --> 2011 wrt. test/../Knowledge
?!? test --- test thm rootrat_equation_left_1 --- changed behavior.
1 (* equations and functions; functions NOT as lambda-terms
2 author: Walther Neuper 2005, 2006
3 (c) due to copyright terms
6 theory Equation imports Atools begin
8 text {* univariate equations over terms :
9 In 2003 Richard Lang prototyped ISAC's equation solver while also alpha-testing
10 the Lucas-Interpreter's Subproblem mechanism.
11 This prototype suffers from the drop-out of Matthias Goldgruber for a year,
12 who had started to work on simplification in parallel. So this implementation
13 replaced simplifiers by many specific theorems for specific terms in specific
14 phases of equation solving; these specific solutions wait for generalisation
15 in future improvements of ISAC's equation solver.
20 (*descriptions in the related problems TODOshift here from Descriptions.thy*)
21 substitution :: "bool => una"
24 solve :: "[bool * 'a] => bool list" (* solve (x+1=2, x) *)
25 solveTest :: "[bool * 'a] => bool list" (* for test collection *)
28 Function2Equality :: "[bool, bool, bool]
30 ("((Script Function2Equality (_ _ =))// (_))" 9)
32 text {* defines equation and univariate-equation
38 (c) by Richard Lang, 2003 *}
42 val ctxt = thy2ctxt thy;
44 val univariate_equation_prls =
45 append_rls "univariate_equation_prls" e_rls
46 [Calc ("Tools.matches",eval_matches "")];
48 overwritelthy @{theory} (!ruleset',
49 [("univariate_equation_prls",
50 prep_rls univariate_equation_prls)]);
54 (prep_pbt thy "pbl_equ" [] e_pblID
56 [("#Given" ,["equality e_e","solveFor v_v"]),
57 ("#Where" ,["matches (?a = ?b) e_e"]),
58 ("#Find" ,["solutions v_v'i'"])
60 append_rls "equation_prls" e_rls
61 [Calc ("Tools.matches",eval_matches "")],
62 SOME "solve (e_e::bool, v_v)",
66 (prep_pbt thy "pbl_equ_univ" [] e_pblID
67 (["univariate","equation"],
68 [("#Given" ,["equality e_e","solveFor v_v"]),
69 ("#Where" ,["matches (?a = ?b) e_e"]),
70 ("#Find" ,["solutions v_v'i'"])
72 univariate_equation_prls,SOME "solve (e_e::bool, v_v)",[]));
75 (*.function for handling the cas-input "solve (x+1=2, x)":
76 make a model which is already in ptree-internal format.*)
77 (* val (h,argl) = strip_comb (str2term "solve (x+1=2, x)");
78 val (h,argl) = strip_comb ((term_of o the o (parse thy))
79 "solveTest (x+1=2, x)");
81 fun argl2dtss [Const ("Product_Type.Pair", _) $ eq $ bdv] =
82 [((the o (parseNEW ctxt)) "equality", [eq]),
83 ((the o (parseNEW ctxt)) "solveFor", [bdv]),
84 ((the o (parseNEW ctxt)) "solutions",
85 [(the o (parseNEW ctxt)) "L"])
87 | argl2dtss _ = error "Equation.ML: wrong argument for argl2dtss";
91 [((term_of o the o (parse thy)) "solveTest",
92 (("Test", ["univariate","equation","test"], ["no_met"]),
94 ((term_of o the o (parse thy)) "solve",
95 (("Isac", ["univariate","equation"], ["no_met"]),
102 (prep_met thy "met_equ" [] e_metID
105 {rew_ord'="tless_true", rls'=Erls, calc = [],
108 crls = Atools_erls, nrls = e_rls},