lh-l4v/lib/AutoLevity.thy

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(*
* Copyright 2014, NICTA
*
* This software may be distributed and modified according to the terms of
* the BSD 2-Clause license. Note that NO WARRANTY is provided.
* See "LICENSE_BSD2.txt" for details.
*
* @TAG(NICTA_BSD)
*)
theory AutoLevity (* FIXME: broken *)
imports "../tools/proofcount/ProofGraph"
begin
ML \<open>val infoflow_file = "~~/../lib/proof_counting/Noninterference_Refinement_graphs.xml"\<close>
ML \<open>val (full_spec,proof_spec_raw,thy_deps) = Proof_Graph.read_graph_spec_from infoflow_file\<close>
ML \<open>val proof_spec = Proof_Graph.merge_multi_thms proof_spec_raw\<close>
(* Extracts "general" lemmas from proof graph and produces lemma buckets from them *)
(* Does theory and lemma dependency management. Might be better to produce a report and
have a bash/perl script consume this, rather than doing the file manipulation in ML *)
(* Cleanup: Not really using name spaces properly *)
(*TODO: Can possibly extract lemmas from the middle of locales *)
ML \<open>
fun range (beg,fin) l = List.take (List.drop (l,beg),fin - beg)
fun map_range f (beg,fin) l =
let
fun do_clear (h :: l') i = if beg <= i andalso i <= fin then (f h) :: (do_clear l' (i + 1)) else h :: (do_clear l' (i + 1))
| do_clear [] i = []
in
do_clear l 0 end
fun add_thy thy_deps thy thys' =
let
fun reachable i j =
let
val deps = Option.map snd (Symtab.lookup thy_deps i)
in
case deps of SOME deps => member (=) deps j | NONE => false end
val thys = distinct (=) thys'
in
if exists (fn ex_thy => reachable ex_thy thy) thys then thys else
thys
|> filter_out (fn ex_thy => reachable thy ex_thy)
|> cons thy
end
fun thy_list thy_deps thys = fold (add_thy thy_deps) thys []
|> sort_wrt I
fun add_thy_consts spec_graph (e : Proof_Graph.proof_entry) =
let
val thys' = map (Int_Graph.get_node spec_graph #> #theory) (#contains e)
in
(union (=) thys') end
fun sort_lemmas (proof_graph,spec_graph : Spec_Graph.graph_entry Int_Graph.T,thy_deps) spec_theories facts =
let
fun do_sort (nm,e) (thy_names,thy_imports) =
let
val thy_list = thy_list thy_deps (add_thy_consts spec_graph e [])
val i = (space_implode "__" thy_list) ^ "_Bucket"
in
(Symtab.update_new (nm,i) thy_names,
Symtab.update (i,thy_list) thy_imports) end
val (thy_names,thy_imports) = fold do_sort facts (Symtab.empty,Symtab.empty)
fun extra_deps (nm,e) (thm_deps,thytab) =
let
val thy_name = Symtab.lookup thy_names nm |> the
val all_succs = String_Graph.all_succs proof_graph [nm]
fun get_dep nm' b =
let
val thyn = Long_Name.explode nm' |> hd
fun warn _ = if not (Symtab.defined thy_names nm') then (warning (nm ^ " depends on " ^ nm' ^ " which is not marked for levitation and is outside theory import chain. NOT levitating.");true) else b
in if member (=) spec_theories thyn then (NONE,warn ()) else (SOME thyn,b) end
val (deps,rem) = fold_map get_dep all_succs false
|>> map_filter I
|>> append (map_filter (Symtab.lookup thy_names) all_succs)
|>> remove (=) thy_name
val imm_succs = String_Graph.immediate_succs proof_graph nm
in
(if rem then (thm_deps,thytab) else
(Symtab.update (nm,(e,imm_succs)) thm_deps,fold (fn dep => Symtab.insert_list (=) (thy_name,dep)) deps thytab)) end
fun rem_cycles (thy_names,thy_imports) =
let
val thy_graph = thy_imports
|> Symtab.dest
|> map (fn (id,e) => ((id,()),filter (Symtab.defined thy_imports) e))
|> String_Graph.make
fun merge_deps (n :: l) (thy_names,thy_graph) =
let
val thy_graph' =
Proof_Graph.restrict_subgraph (fn (i,_) => not (member (=) l i)) thy_graph
val thy_names' = Symtab.map (fn _ => fn thyn => if member (=) l thyn then n else thyn) thy_names
in
(thy_names',thy_graph') end;
fun cycles_of i =
fold (fn j => append (String_Graph.irreducible_paths thy_graph (j,i))) (String_Graph.immediate_succs thy_graph i) []
val cycles = map (flat o cycles_of) (String_Graph.keys thy_graph)
|> filter_out null
|> map (sort_wrt I #> distinct (=) #> rev)
|> distinct (=)
val thy_graph = thy_imports
|> Symtab.dest
|> map (fn (id,e) => ((id,()),e))
|> append (map (fn (id,(_,e)) => ((id,()),e)) (Symtab.dest thy_deps))
|> String_Graph.make
val (thy_names',thy_graph') = fold merge_deps cycles (thy_names,thy_graph)
val thy_imports' = map (fn i => (i,String_Graph.all_succs thy_graph' [i] |> remove (=) i)) (String_Graph.keys thy_graph')
|> filter (fn (i,_) => Symtab.defined thy_imports i)
|> Symtab.make
in
(thy_names',thy_imports') end
val (thm_deps,thy_imports) = fold extra_deps facts (Symtab.empty,thy_imports)
val (thy_names',thy_imports') = rem_cycles (thy_names,thy_imports)
||> Symtab.map (K (thy_list thy_deps))
val order = String_Graph.topological_order proof_graph
|> (fn l => fold_map (fn nm => fn i => ((nm,i),i+1)) l 0)
|> fst
|> Symtab.make
fun do_lookup e tab nm = (Symtab.lookup tab nm |> the) handle Option => error ("No entry " ^ nm ^ " in symtab:\n" ^ e)
val compare_facts = make_ord (fn ((nm,_),(nm',_)) => (do_lookup "order" order nm) < (do_lookup "order" order nm'))
val thys = Symtab.fold (fn (nm,e) => Symtab.insert_list (K false) (do_lookup "thy_names" thy_names' nm,(nm,e))) thm_deps Symtab.empty
|> Symtab.map (K (sort compare_facts))
|> Symtab.map (fn i => fn e => (do_lookup "thy_imports" thy_imports' i,e))
|> Symtab.dest
val base_thy =
let
val all_imports = thy_imports'
|> Symtab.dest
|> map snd
|> flat
|> distinct (=)
|> filter_out (member (=) (Symtab.keys thy_imports'))
|> thy_list thy_deps
|> map (fn n => "\"" ^ (Symtab.lookup thy_deps n |> the |> fst) ^ "/" ^ n ^ "\"")
|> distinct (=)
in
("AutoLevity_Base",(all_imports,[])) end
val toplevel_thy = ("AutoLevity_Top",(thy_list thy_deps (Symtab.keys thy_imports'),[]))
in
(toplevel_thy :: base_thy :: thys) end
(*TODO: Have a more sensible way of generating this list*)
val declare_attribs = ["simp","wp","intro","intro!","elim","elim!"]
fun get_attribs str =
let
val toks = (Outer_Syntax.scan Position.none str
|> filter (Token.is_proper)
) @ ([Token.eof])
val ((nm,attribs),_) =
(Parse.command |-- Parse_Spec.opt_thm_name ":") toks handle _ => error ("Failed to parse lemma attributes" ^ str)
in
map (fst o fst o Args.dest_src) attribs
|> filter (member (=) declare_attribs) end
fun parse_attribs sorted =
let
fun do_parse (id,(e : Proof_Graph.proof_entry,thm_deps)) =
let
val thy_file = File.read_lines (Path.explode (#file e))
val (begin,fin) = (#lines e)
val text = range (begin -1,fin) thy_file
|> space_implode "\n"
val new_attribs = get_attribs text
in
(id,(e,thm_deps,new_attribs)) end
in
map (fn (file,(deps,lemmas)) => (file,(deps,map do_parse lemmas))) sorted end
fun get_raw_proofs debug (id : string,(e : Proof_Graph.proof_entry,thm_deps,attribs)) =
let
val thy_file = File.read_lines (Path.explode (#file e))
val (begin,fin) = (#lines e)
val text = range (begin -1,fin) thy_file
|> space_implode "\n"
val new_attribs = attribs
|> map (fn s => s ^ " del")
|> space_implode ","
val text' = text ^ (if new_attribs = "" then "" else ("\ndeclare " ^ (#name e) ^ "[" ^ new_attribs ^ "]"))
^ (if debug then "\n(* THM_DEPS: " ^ space_implode " " thm_deps ^ "*)\n" else "")
(* Make sure we don't have any ride-alongs *)
val _ = if (String.isSubstring "method_setup" text) then warning ("Found method setup" ^ (@{make_string} (id,e)) ^ "\n" ^ text) else ()
in
cons (#file e,text') end
fun add_buffer (f,text) (cur_f,buf) =
let
val buf' = buf
|> Buffer.add (if f = cur_f then "" else "\n(* " ^ f ^ " *)\n\n")
|> Buffer.add ("\n" ^ text ^ "\n")
in
(f,buf') end
fun get_thy debug (nm,(imports,lemmas)) =
let
val lemma_text = fold (get_raw_proofs debug) lemmas []
val buf = Buffer.empty
|> Buffer.add ("theory " ^ nm ^ "\nimports ")
|> Buffer.add (space_implode " " imports)
|> Buffer.add ("\nbegin\n")
|> (fn b => fold add_buffer lemma_text ("",b))
|> snd
|> Buffer.add ("\nend")
in
(nm,buf) end
fun write_thys debug sorted base_path =
let
val bufs = map (get_thy debug) sorted
in
(map (fn (nm,buf) => (File.write_buffer (Path.append base_path (Path.explode (nm ^ ".thy"))) buf)) bufs;()) end
fun remove_lemma thy_nm (nm,(e : Proof_Graph.proof_entry,thm_deps,attribs)) (new_deps,cache) =
let
val (beg',fin) = #lines e
val beg = beg' -1
val thy_file = case Symtab.lookup cache (#file e) of SOME s => s | NONE => File.read_lines (Path.explode (#file e)) |> map SOME
val header = "(* " ^ #name e ^ " moved to " ^ thy_nm ^ " *)"
val new_attribs = attribs
|> space_implode ","
val declare = if new_attribs = "" then "" else "\ndeclare " ^ thy_nm ^ "." ^ (#name e) ^ "[" ^ new_attribs ^ "]"
val thy_file' = thy_file
|> map_range (K NONE) (beg,fin-1)
|> map_range (K (SOME (header ^ declare) )) (beg,beg)
in
(Symtab.insert_list (=) (#file e,thy_nm) new_deps,Symtab.update (#file e,thy_file') cache) end
(*TODO: Auto-generate thy dependencies or assume everyone will import us?*)
fun remove_thy (thy_nm,(deps,lemmas)) cache = fold (remove_lemma thy_nm) lemmas cache
fun clear_thys thy_deps sorted =
let
val (new_deps,cache) = fold remove_thy sorted (Symtab.empty,Symtab.empty)
fun thy_to_file thy_nm = (Symtab.lookup thy_deps thy_nm |> the |> fst) ^ "/" ^ thy_nm ^ ".thy"
val file_deps = map (fn (thy,(f,deps)) => (thy_to_file thy,map thy_to_file deps)) (Symtab.dest thy_deps)
|> Symtab.make
fun is_already_imported file_nm dep =
let
val deps = Symtab.lookup file_deps file_nm |> the
|> remove (=) file_nm
in
exists (fn d => case (Symtab.lookup new_deps d) of SOME deps' => member (=) deps' dep | NONE => false) deps end
fun add_deps file_nm file =
let
val deps = Symtab.lookup new_deps file_nm |> the
|> filter_out (is_already_imported file_nm)
val index_line = find_index (fn (SOME s) => String.isPrefix "imports" s | NONE => false) file
val new_dep_line = if null deps then "" else " " ^ (space_implode " " deps)
val file' =
map_range (fn SOME s => SOME (s ^ new_dep_line) | NONE => error ("No import line in file " ^ file_nm)) (index_line,index_line) file
in
file' end
val cache' = Symtab.map add_deps cache
in
(Symtab.map (fn file => fn body => File.write_list (Path.explode file) (map (fn SOME s => s ^ "\n" | NONE => "") body)) cache';()) end;
\<close>
end