author  blanchet 
Tue, 07 Dec 2010 11:56:01 +0100  
changeset 41051  2ed1b971fc20 
parent 40931  061b8257ab9f 
child 43018  121aa59b4d17 
permissions  rwrr 
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(* Title: Tools/solve_direct.ML 
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Author: Timothy Bourke and Gerwin Klein, NICTA 
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Check whether a newly stated theorem can be solved directly by an 

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existing theorem. Duplicate lemmas can be detected in this way. 

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The implementation relies critically on the Find_Theorems solves 
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feature. 
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*) 

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signature SOLVE_DIRECT = 
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sig 
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val auto: bool Unsynchronized.ref 
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val max_solutions: int Unsynchronized.ref 

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val solve_direct: bool > Proof.state > bool * Proof.state 

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val setup: theory > theory 

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end; 
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structure Solve_Direct: SOLVE_DIRECT = 
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struct 
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val solve_directN = "solve_direct"; 
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(* preferences *) 
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val auto = Unsynchronized.ref false; 
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val max_solutions = Unsynchronized.ref 5; 
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some rearangement of load order to keep preferences adjacent  slightly fragile;
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val _ = 
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ProofGeneralPgip.add_preference Preferences.category_tracing 
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(Unsynchronized.setmp auto true (fn () => 
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Preferences.bool_pref auto 
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"autosolvedirect" 
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("Run " ^ quote solve_directN ^ " automatically.")) ()); 
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(* solve_direct command *) 

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fun solve_direct auto state = 
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let 
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val ctxt = Proof.context_of state; 

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val crits = [(true, Find_Theorems.Solves)]; 
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fun find g = 
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snd (Find_Theorems.find_theorems ctxt (SOME g) (SOME (! max_solutions)) false crits); 

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fun prt_result (goal, results) = 

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let 

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val msg = 

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(if auto then "Auto " else "") ^ solve_directN ^ ": " ^ 
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(case goal of 
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NONE => "The current goal" 

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 SOME sg => Syntax.string_of_term ctxt (Thm.term_of sg)); 

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in 

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Pretty.big_list 

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(msg ^ " can be solved directly with") 
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(map (Find_Theorems.pretty_thm ctxt) results) 
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end; 
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fun seek_against_goal () = 

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(case try Proof.simple_goal state of 
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NONE => NONE 
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 SOME {goal = st, ...} => 
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let 
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val subgoals = Drule.strip_imp_prems (Thm.cprop_of st); 
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val rs = 
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if length subgoals = 1 

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then [(NONE, find st)] 
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else map (fn sg => (SOME sg, find (Goal.init sg))) subgoals; 
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val results = filter_out (null o snd) rs; 

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in if null results then NONE else SOME results end); 

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fun message results = separate (Pretty.brk 0) (map prt_result results); 
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in 
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(case try seek_against_goal () of 
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SOME (SOME results) => 
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(true, 
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state > 

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(if auto then 

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Proof.goal_message 

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(fn () => 

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Pretty.chunks 

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[Pretty.str "", 

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Pretty.markup Markup.hilite (message results)]) 

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else 

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tap (fn _ => 

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Output.urgent_message (Pretty.string_of (Pretty.chunks (message results)))))) 
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 _ => (false, state)) 
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end; 
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val _ = 
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Outer_Syntax.improper_command solve_directN 
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"try to solve conjectures directly with existing theorems" Keyword.diag 
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(Scan.succeed 
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(Toplevel.keep (fn state => ignore (solve_direct false (Toplevel.proof_of state))))); 

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(* hook *) 
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val auto_solve_direct = solve_direct true 
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val setup = Auto_Tools.register_tool (auto, auto_solve_direct); 
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end; 