(* Title: Pure/Isar/isar_thy.ML
ID: $Id$
Author: Markus Wenzel, TU Muenchen
Pure/Isar derived theory operations.
*)
signature ISAR_THY =
sig
val add_txt: Comment.text -> ProofHistory.T -> ProofHistory.T
val add_text: Comment.text -> theory -> theory
val add_title: Comment.text -> Comment.text -> Comment.text -> theory -> theory
val add_chapter: Comment.text -> theory -> theory
val add_section: Comment.text -> theory -> theory
val add_subsection: Comment.text -> theory -> theory
val add_subsubsection: Comment.text -> theory -> theory
val add_classes: (bclass * xclass list) list * Comment.text -> theory -> theory
val add_classes_i: (bclass * class list) list * Comment.text -> theory -> theory
val add_classrel: (xclass * xclass) * Comment.text -> theory -> theory
val add_classrel_i: (class * class) * Comment.text -> theory -> theory
val add_defsort: xsort * Comment.text -> theory -> theory
val add_defsort_i: sort * Comment.text -> theory -> theory
val add_nonterminals: (bstring * Comment.text) list -> theory -> theory
val add_tyabbrs: ((bstring * string list * string * mixfix) * Comment.text) list
-> theory -> theory
val add_tyabbrs_i: ((bstring * string list * typ * mixfix) * Comment.text) list
-> theory -> theory
val add_arities: ((xstring * xsort list * xsort) * Comment.text) list -> theory -> theory
val add_arities_i: ((string * sort list * sort) * Comment.text) list -> theory -> theory
val add_typedecl: (bstring * string list * mixfix) * Comment.text -> theory -> theory
val add_consts: ((bstring * string * mixfix) * Comment.text) list -> theory -> theory
val add_consts_i: ((bstring * typ * mixfix) * Comment.text) list -> theory -> theory
val add_modesyntax: string * bool -> ((bstring * string * mixfix) * Comment.text) list
-> theory -> theory
val add_modesyntax_i: string * bool -> ((bstring * typ * mixfix) * Comment.text) list
-> theory -> theory
val add_trrules: ((xstring * string) Syntax.trrule * Comment.text) list -> theory -> theory
val add_trrules_i: (Syntax.ast Syntax.trrule * Comment.text) list -> theory -> theory
val add_axioms: (((bstring * string) * Args.src list) * Comment.text) list -> theory -> theory
val add_axioms_i: (((bstring * term) * theory attribute list) * Comment.text) list
-> theory -> theory
val add_defs: (((bstring * string) * Args.src list) * Comment.text) list -> theory -> theory
val add_defs_i: (((bstring * term) * theory attribute list) * Comment.text) list
-> theory -> theory
val add_constdefs: (((bstring * string * mixfix) * Comment.text) * (string * Comment.text)) list
-> theory -> theory
val add_constdefs_i: (((bstring * typ * mixfix) * Comment.text) * (term * Comment.text)) list
-> theory -> theory
val apply_theorems: (xstring * Args.src list) list -> theory -> theory * thm list
val apply_theorems_i: (thm * theory attribute list) list -> theory -> theory * thm list
val have_theorems: ((bstring * Args.src list) * (xstring * Args.src list) list) * Comment.text
-> theory -> theory
val have_theorems_i: ((bstring * theory attribute list) * (thm * theory attribute list) list)
* Comment.text -> theory -> theory
val have_lemmas: ((bstring * Args.src list) * (xstring * Args.src list) list) * Comment.text
-> theory -> theory
val have_lemmas_i: ((bstring * theory attribute list) * (thm * theory attribute list) list)
* Comment.text -> theory -> theory
val have_facts: ((string * Args.src list) * (string * Args.src list) list) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val have_facts_i: ((string * Proof.context attribute list) *
(thm * Proof.context attribute list) list) * Comment.text -> ProofHistory.T -> ProofHistory.T
val from_facts: (string * Args.src list) list * Comment.text -> ProofHistory.T -> ProofHistory.T
val from_facts_i: (thm * Proof.context attribute list) list * Comment.text
-> ProofHistory.T -> ProofHistory.T
val with_facts: (string * Args.src list) list * Comment.text -> ProofHistory.T -> ProofHistory.T
val with_facts_i: (thm * Proof.context attribute list) list * Comment.text
-> ProofHistory.T -> ProofHistory.T
val chain: Comment.text -> ProofHistory.T -> ProofHistory.T
val fix: (string * string option) list * Comment.text -> ProofHistory.T -> ProofHistory.T
val fix_i: (string * typ) list * Comment.text -> ProofHistory.T -> ProofHistory.T
val match_bind: ((string list * string) * Comment.text) list -> ProofHistory.T -> ProofHistory.T
val match_bind_i: ((term list * term) * Comment.text) list -> ProofHistory.T -> ProofHistory.T
val theorem: (bstring * Args.src list * (string * string list)) * Comment.text
-> bool -> theory -> ProofHistory.T
val theorem_i: (bstring * theory attribute list * (term * term list)) * Comment.text
-> bool -> theory -> ProofHistory.T
val lemma: (bstring * Args.src list * (string * string list)) * Comment.text
-> bool -> theory -> ProofHistory.T
val lemma_i: (bstring * theory attribute list * (term * term list)) * Comment.text
-> bool -> theory -> ProofHistory.T
val assume: (string * Args.src list * (string * string list) list) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val assume_i: (string * Proof.context attribute list * (term * term list) list) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val presume: (string * Args.src list * (string * string list) list) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val presume_i: (string * Proof.context attribute list * (term * term list) list) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val show: (string * Args.src list * (string * string list)) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val show_i: (string * Proof.context attribute list * (term * term list)) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val have: (string * Args.src list * (string * string list)) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val have_i: (string * Proof.context attribute list * (term * term list)) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val thus: (string * Args.src list * (string * string list)) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val thus_i: (string * Proof.context attribute list * (term * term list)) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val hence: (string * Args.src list * (string * string list)) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val hence_i: (string * Proof.context attribute list * (term * term list)) * Comment.text
-> ProofHistory.T -> ProofHistory.T
val begin_block: ProofHistory.T -> ProofHistory.T
val next_block: ProofHistory.T -> ProofHistory.T
val end_block: ProofHistory.T -> ProofHistory.T
val tac: Method.text -> ProofHistory.T -> ProofHistory.T
val then_tac: Method.text -> ProofHistory.T -> ProofHistory.T
val proof: Comment.interest * (Method.text * Comment.interest) option
-> ProofHistory.T -> ProofHistory.T
val kill_proof: ProofHistory.T -> theory
val global_qed_with: bstring option * Args.src list option
-> (Method.text * Comment.interest) option
-> Toplevel.transition -> Toplevel.transition
val global_qed_with_i: bstring option * theory attribute list option
-> (Method.text * Comment.interest) option
-> Toplevel.transition -> Toplevel.transition
val qed: (Method.text * Comment.interest) option -> Toplevel.transition -> Toplevel.transition
val terminal_proof: Method.text * Comment.interest -> Toplevel.transition -> Toplevel.transition
val immediate_proof: Toplevel.transition -> Toplevel.transition
val default_proof: Toplevel.transition -> Toplevel.transition
val skip_proof: Toplevel.transition -> Toplevel.transition
val also: ((string * Args.src list) list * Comment.interest) option * Comment.text
-> Toplevel.transition -> Toplevel.transition
val also_i: (thm list * Comment.interest) option * Comment.text
-> Toplevel.transition -> Toplevel.transition
val finally: ((string * Args.src list) list * Comment.interest) option * Comment.text
-> Toplevel.transition -> Toplevel.transition
val finally_i: (thm list * Comment.interest) option * Comment.text
-> Toplevel.transition -> Toplevel.transition
val use_mltext: string -> theory option -> theory option
val use_mltext_theory: string -> theory -> theory
val use_setup: string -> theory -> theory
val parse_ast_translation: string -> theory -> theory
val parse_translation: string -> theory -> theory
val print_translation: string -> theory -> theory
val typed_print_translation: string -> theory -> theory
val print_ast_translation: string -> theory -> theory
val token_translation: string -> theory -> theory
val add_oracle: (bstring * string) * Comment.text -> theory -> theory
val begin_theory: string -> string list -> (string * bool) list -> theory
val end_theory: theory -> theory
val theory: string * string list * (string * bool) list
-> Toplevel.transition -> Toplevel.transition
val context: string -> Toplevel.transition -> Toplevel.transition
val update_context: string -> Toplevel.transition -> Toplevel.transition
end;
structure IsarThy: ISAR_THY =
struct
(** derived theory and proof operations **)
(* formal comments *)
fun add_txt comment prf = prf;
fun add_text comment thy = thy;
fun add_title title author date thy = thy;
val add_chapter = add_text;
val add_section = add_text;
val add_subsection = add_text;
val add_subsubsection = add_text;
(* signature and syntax *)
val add_classes = Theory.add_classes o Comment.ignore;
val add_classes_i = Theory.add_classes_i o Comment.ignore;
val add_classrel = Theory.add_classrel o single o Comment.ignore;
val add_classrel_i = Theory.add_classrel_i o single o Comment.ignore;
val add_defsort = Theory.add_defsort o Comment.ignore;
val add_defsort_i = Theory.add_defsort_i o Comment.ignore;
val add_nonterminals = Theory.add_nonterminals o map Comment.ignore;
val add_tyabbrs = Theory.add_tyabbrs o map Comment.ignore;
val add_tyabbrs_i = Theory.add_tyabbrs_i o map Comment.ignore;
val add_arities = Theory.add_arities o map Comment.ignore;
val add_arities_i = Theory.add_arities_i o map Comment.ignore;
val add_typedecl = PureThy.add_typedecls o single o Comment.ignore;
val add_consts = Theory.add_consts o map Comment.ignore;
val add_consts_i = Theory.add_consts_i o map Comment.ignore;
fun add_modesyntax mode = Theory.add_modesyntax mode o map Comment.ignore;
fun add_modesyntax_i mode = Theory.add_modesyntax_i mode o map Comment.ignore;
val add_trrules = Theory.add_trrules o map Comment.ignore;
val add_trrules_i = Theory.add_trrules_i o map Comment.ignore;
(* axioms and defs *)
fun add_axms f args thy =
f (map (fn (x, srcs) => (x, map (Attrib.global_attribute thy) srcs)) args) thy;
val add_axioms = add_axms PureThy.add_axioms o map Comment.ignore;
val add_axioms_i = PureThy.add_axioms_i o map Comment.ignore;
val add_defs = add_axms PureThy.add_defs o map Comment.ignore;
val add_defs_i = PureThy.add_defs_i o map Comment.ignore;
(* constdefs *)
fun gen_add_constdefs consts defs args thy =
thy
|> consts (map (Comment.ignore o fst) args)
|> defs (map (fn (((c, _, mx), _), (s, _)) =>
(((Thm.def_name (Syntax.const_name c mx), s), []), Comment.none)) args);
fun add_constdefs args = gen_add_constdefs Theory.add_consts add_defs args;
fun add_constdefs_i args = gen_add_constdefs Theory.add_consts_i add_defs_i args;
(* theorems *)
fun gen_have_thmss get attrib f ((name, more_srcs), th_srcs) x =
f name (map (attrib x) more_srcs)
(map (fn (s, srcs) => (get x s, map (attrib x) srcs)) th_srcs) x;
fun global_have_thmss x = gen_have_thmss PureThy.get_thms Attrib.global_attribute x;
fun local_have_thmss x =
gen_have_thmss (ProofContext.get_thms o Proof.context_of)
(Attrib.local_attribute o Proof.theory_of) x;
fun have_thmss_i f ((name, more_atts), th_atts) =
f name more_atts (map (apfst single) th_atts);
fun have_lemss name atts = PureThy.have_thmss name (atts @ [Drule.tag_lemma]);
fun apply_theorems th_srcs = global_have_thmss PureThy.have_thmss ((None, []), th_srcs);
fun apply_theorems_i th_srcs = have_thmss_i PureThy.have_thmss ((None, []), th_srcs);
val have_theorems = #1 oo (global_have_thmss (PureThy.have_thmss o Some) o Comment.ignore);
val have_theorems_i = #1 oo (have_thmss_i (PureThy.have_thmss o Some) o Comment.ignore);
val have_lemmas = #1 oo (global_have_thmss (have_lemss o Some) o Comment.ignore);
val have_lemmas_i = #1 oo (have_thmss_i (have_lemss o Some) o Comment.ignore);
val have_facts = ProofHistory.apply o local_have_thmss (Proof.have_thmss []) o Comment.ignore;
val have_facts_i = ProofHistory.apply o have_thmss_i (Proof.have_thmss []) o Comment.ignore;
(* forward chaining *)
fun gen_from_facts f = ProofHistory.apply o (Proof.chain oo curry f ("", []));
fun add_thmss name atts ths_atts state =
Proof.have_thmss (Proof.the_facts state) name atts ths_atts state;
val from_facts = gen_from_facts (local_have_thmss (Proof.have_thmss [])) o Comment.ignore;
val from_facts_i = gen_from_facts (have_thmss_i (Proof.have_thmss [])) o Comment.ignore;
val with_facts = gen_from_facts (local_have_thmss add_thmss) o Comment.ignore;
val with_facts_i = gen_from_facts (have_thmss_i add_thmss) o Comment.ignore;
fun chain comment_ignore = ProofHistory.apply Proof.chain;
(* context *)
val fix = ProofHistory.apply o Proof.fix o Comment.ignore;
val fix_i = ProofHistory.apply o Proof.fix_i o Comment.ignore;
val match_bind = ProofHistory.apply o Proof.match_bind o map Comment.ignore;
val match_bind_i = ProofHistory.apply o Proof.match_bind_i o map Comment.ignore;
(* statements *)
fun global_statement f (name, src, s) int thy =
ProofHistory.init (Toplevel.undo_limit int)
(f name (map (Attrib.global_attribute thy) src) s thy);
fun global_statement_i f (name, atts, t) int thy =
ProofHistory.init (Toplevel.undo_limit int) (f name atts t thy);
fun local_statement do_open f g (name, src, s) = ProofHistory.apply_cond_open do_open (fn state =>
f name (map (Attrib.local_attribute (Proof.theory_of state)) src) s (g state));
fun local_statement_i do_open f g (name, atts, t) =
ProofHistory.apply_cond_open do_open (f name atts t o g);
val theorem = global_statement Proof.theorem o Comment.ignore;
val theorem_i = global_statement_i Proof.theorem_i o Comment.ignore;
val lemma = global_statement Proof.lemma o Comment.ignore;
val lemma_i = global_statement_i Proof.lemma_i o Comment.ignore;
val assume = local_statement false (Proof.assume assume_tac) I o Comment.ignore;
val assume_i = local_statement_i false (Proof.assume_i assume_tac) I o Comment.ignore;
val presume = local_statement false (Proof.assume (K all_tac)) I o Comment.ignore;
val presume_i = local_statement_i false (Proof.assume_i (K all_tac)) I o Comment.ignore;
val show = local_statement true Proof.show I o Comment.ignore;
val show_i = local_statement_i true Proof.show_i I o Comment.ignore;
val have = local_statement true Proof.have I o Comment.ignore;
val have_i = local_statement_i true Proof.have_i I o Comment.ignore;
val thus = local_statement true Proof.show Proof.chain o Comment.ignore;
val thus_i = local_statement_i true Proof.show_i Proof.chain o Comment.ignore;
val hence = local_statement true Proof.have Proof.chain o Comment.ignore;
val hence_i = local_statement_i true Proof.have_i Proof.chain o Comment.ignore;
(* blocks *)
val begin_block = ProofHistory.apply_open Proof.begin_block;
val next_block = ProofHistory.apply Proof.next_block;
val end_block = ProofHistory.apply_close Proof.end_block;
(* backward steps *)
val tac = ProofHistory.applys o Method.tac;
val then_tac = ProofHistory.applys o Method.then_tac;
val proof =
ProofHistory.applys o Method.proof o apsome Comment.ignore_interest o Comment.ignore_interest';
(* print result *)
fun pretty_result {kind, name, thm} =
Pretty.block [Pretty.str (kind ^ " " ^ name ^ ":"), Pretty.fbrk, Display.pretty_thm thm];
val print_result = Pretty.writeln o pretty_result;
fun cond_print_result int res = if int then print_result res else ();
fun proof'' f = Toplevel.proof' (f o cond_print_result);
(* local endings *)
val local_qed =
proof'' o (ProofHistory.applys_close oo Method.local_qed) o apsome Comment.ignore_interest;
val local_terminal_proof =
proof'' o (ProofHistory.applys_close oo Method.local_terminal_proof) o Comment.ignore_interest;
val local_immediate_proof = proof'' (ProofHistory.applys_close o Method.local_immediate_proof);
val local_default_proof = proof'' (ProofHistory.applys_close o Method.local_default_proof);
val local_skip_proof = proof'' (ProofHistory.applys_close o SkipProof.local_skip_proof);
(* global endings *)
val kill_proof = Proof.theory_of o ProofHistory.current;
fun global_result finish = Toplevel.proof_to_theory (fn prf =>
let
val state = ProofHistory.current prf;
val _ = if Proof.at_bottom state then () else raise Toplevel.UNDEF;
val (thy, res) = finish state;
in print_result res; thy end);
fun gen_global_qed_with prep_att (alt_name, raw_atts) meth state =
let
val thy = Proof.theory_of state;
val alt_atts = apsome (map (prep_att thy)) raw_atts;
in Method.global_qed alt_name alt_atts (apsome Comment.ignore_interest meth) state end;
val global_qed_with = global_result oo gen_global_qed_with Attrib.global_attribute;
val global_qed_with_i = global_result oo gen_global_qed_with (K I);
val global_qed = global_qed_with (None, None);
val global_terminal_proof = global_result o Method.global_terminal_proof o Comment.ignore_interest;
val global_immediate_proof = global_result Method.global_immediate_proof;
val global_default_proof = global_result Method.global_default_proof;
val global_skip_proof = global_result SkipProof.global_skip_proof;
(* common endings *)
fun qed meth = local_qed meth o global_qed meth;
fun terminal_proof meth = local_terminal_proof meth o global_terminal_proof meth;
val immediate_proof = local_immediate_proof o global_immediate_proof;
val default_proof = local_default_proof o global_default_proof;
val skip_proof = local_skip_proof o global_skip_proof;
(* calculational proof commands *)
local
fun cond_print_calc int thm =
if int then Pretty.writeln (Pretty.big_list "calculation:" [Display.pretty_thm thm])
else ();
fun proof''' f = Toplevel.proof' (f o cond_print_calc);
fun get_thmss srcs = Proof.the_facts o local_have_thmss (Proof.have_thmss []) (("", []), srcs);
fun get_thmss_i thms _ = thms;
fun gen_calc get f (args, _) prt state =
f (apsome (fn (srcs, _) => get srcs state) args) prt state;
in
fun also x = proof''' (ProofHistory.applys o gen_calc get_thmss Calculation.also x);
fun also_i x = proof''' (ProofHistory.applys o gen_calc get_thmss_i Calculation.also x);
fun finally x = proof''' (ProofHistory.applys o gen_calc get_thmss Calculation.finally x);
fun finally_i x = proof''' (ProofHistory.applys o gen_calc get_thmss_i Calculation.finally x);
end;
(* use ML text *)
fun use_mltext txt opt_thy = #2 (Context.pass opt_thy (use_text false) txt);
fun use_mltext_theory txt thy = #2 (Context.pass_theory thy (use_text false) txt);
fun use_context txt = use_mltext_theory ("Context.>> (" ^ txt ^ ");");
fun use_let name body txt =
use_context ("let val " ^ name ^ " = " ^ txt ^ " in\n" ^ body ^ " end");
val use_setup =
use_let "setup: (theory -> theory) list" "Library.apply setup";
(* translation functions *)
val parse_ast_translation =
use_let "parse_ast_translation: (string * (Syntax.ast list -> Syntax.ast)) list"
"Theory.add_trfuns (parse_ast_translation, [], [], [])";
val parse_translation =
use_let "parse_translation: (string * (term list -> term)) list"
"Theory.add_trfuns ([], parse_translation, [], [])";
val print_translation =
use_let "print_translation: (string * (term list -> term)) list"
"Theory.add_trfuns ([], [], print_translation, [])";
val print_ast_translation =
use_let "print_ast_translation: (string * (Syntax.ast list -> Syntax.ast)) list"
"Theory.add_trfuns ([], [], [], print_ast_translation)";
val typed_print_translation =
use_let "typed_print_translation: (string * (bool -> typ -> term list -> term)) list"
"Theory.add_trfunsT typed_print_translation";
val token_translation =
use_let "token_translation: (string * string * (string -> string * int)) list"
"Theory.add_tokentrfuns token_translation";
(* add_oracle *)
fun add_oracle ((name, txt), comment_ignore) =
use_let
"oracle: bstring * (Sign.sg * Object.T -> term)"
"Theory.add_oracle oracle"
("(" ^ quote name ^ ", " ^ txt ^ ")");
(* theory init and exit *)
fun begin_theory name parents files =
let
val paths = map (apfst Path.unpack) files;
val thy = ThyInfo.begin_theory name parents paths;
in Present.begin_theory name parents paths thy end;
fun end_theory thy =
(Present.end_theory (PureThy.get_name thy); ThyInfo.end_theory thy);
fun kill_theory thy = ThyInfo.remove_thy (PureThy.get_name thy);
fun bg_theory (name, parents, files) () = begin_theory name parents files;
fun en_theory thy = (end_theory thy; ());
fun theory spec = Toplevel.init_theory (bg_theory spec) en_theory kill_theory;
(* context switch *)
fun switch_theory load s =
Toplevel.init_theory (fn () => (the (#2 (Context.pass None load s)))) (K ()) (K ());
val context = switch_theory ThyInfo.use_thy;
val update_context = switch_theory ThyInfo.update_thy;
end;