1 (* Title: Knowledge/DiophantEq.thy
2 Author: Mathias Lehnfeld 2011
3 (c) due to copyright terms
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8 theory DiophantEq imports Base_Tools Equation Test
12 int_isolate_add: "(bdv + a = b) = (bdv = b + (-1)*(a::int))"
14 ML \<open>val thy = @{theory}\<close>
16 text \<open>problemclass for the usecase\<close>
17 setup \<open>KEStore_Elems.add_pbts
18 [(Problem.prep_input @{theory} "pbl_equ_dio" [] Problem.id_empty
19 (["diophantine", "equation"],
20 [("#Given" ,["boolTestGiven e_e", "intTestGiven (v_v::int)"]),
23 ("#Find" ,["boolTestFind s_s"])],
24 Rule_Set.empty, SOME "solve (e_e::bool, v_v::int)", [["LinEq", "solve_lineq_equation"]]))]\<close>
26 text \<open>method solving the usecase\<close>
28 partial_function (tailrec) diophant_equation :: "bool => int => bool"
30 "diophant_equation e_e v_v = (
32 (Try (Rewrite_Inst [(''bdv'', v_v)] ''int_isolate_add'' )) #>
33 (Try (Calculate ''PLUS'')) #>
34 (Try (Calculate ''TIMES''))) e_e)"
35 setup \<open>KEStore_Elems.add_mets
36 [MethodC.prep_input @{theory} "met_test_diophant" [] MethodC.id_empty
37 (["Test", "solve_diophant"],
38 [("#Given" ,["boolTestGiven e_e", "intTestGiven (v_v::int)"]),
41 ("#Find" ,["boolTestFind s_s"])],
42 {rew_ord' = "e_rew_ord", rls' = tval_rls, srls = Rule_Set.empty, prls = Rule_Set.empty, calc = [],
43 crls = tval_rls, errpats = [], nrls = Test_simplify},
44 @{thm diophant_equation.simps})]