author | wenzelm |
Tue, 23 Aug 1994 19:34:01 +0200 | |
changeset 575 | 74f0e5fce609 |
parent 561 | 95225e63ef02 |
child 641 | 49fc43cd6a35 |
permissions | -rw-r--r-- |
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1 |
(* Title: Pure/drule.ML |
0 | 2 |
ID: $Id$ |
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3 |
Author: Lawrence C Paulson, Cambridge University Computer Laboratory |
0 | 4 |
Copyright 1993 University of Cambridge |
5 |
||
6 |
Derived rules and other operations on theorems and theories |
|
7 |
*) |
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8 |
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9 |
infix 0 RS RSN RL RLN MRS MRL COMP; |
0 | 10 |
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11 |
signature DRULE = |
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12 |
sig |
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13 |
structure Thm : THM |
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14 |
local open Thm in |
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561 | 15 |
val add_defs: (string * string) list -> theory -> theory |
16 |
val add_defs_i: (string * term) list -> theory -> theory |
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0 | 17 |
val asm_rl: thm |
18 |
val assume_ax: theory -> string -> thm |
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19 |
val COMP: thm * thm -> thm |
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20 |
val compose: thm * int * thm -> thm list |
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val cterm_instantiate: (cterm*cterm)list -> thm -> thm |
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val cut_rl: thm |
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val equal_abs_elim: cterm -> thm -> thm |
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val equal_abs_elim_list: cterm list -> thm -> thm |
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val eq_thm: thm * thm -> bool |
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val eq_thm_sg: thm * thm -> bool |
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val flexpair_abs_elim_list: cterm list -> thm -> thm |
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val forall_intr_list: cterm list -> thm -> thm |
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val forall_intr_frees: thm -> thm |
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val forall_elim_list: cterm list -> thm -> thm |
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val forall_elim_var: int -> thm -> thm |
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val forall_elim_vars: int -> thm -> thm |
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val implies_elim_list: thm -> thm list -> thm |
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val implies_intr_list: cterm list -> thm -> thm |
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
35 |
val MRL: thm list list * thm list -> thm list |
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
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36 |
val MRS: thm list * thm -> thm |
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val pprint_cterm: cterm -> pprint_args -> unit |
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val pprint_ctyp: ctyp -> pprint_args -> unit |
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val pprint_theory: theory -> pprint_args -> unit |
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val pprint_thm: thm -> pprint_args -> unit |
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val pretty_thm: thm -> Sign.Syntax.Pretty.T |
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val print_cterm: cterm -> unit |
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val print_ctyp: ctyp -> unit |
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val print_goals: int -> thm -> unit |
67 | 45 |
val print_goals_ref: (int -> thm -> unit) ref |
575 | 46 |
val print_syntax: theory -> unit |
385 | 47 |
val print_sign: theory -> unit |
48 |
val print_axioms: theory -> unit |
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0 | 49 |
val print_theory: theory -> unit |
50 |
val print_thm: thm -> unit |
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51 |
val prth: thm -> thm |
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52 |
val prthq: thm Sequence.seq -> thm Sequence.seq |
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53 |
val prths: thm list -> thm list |
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val read_instantiate: (string*string)list -> thm -> thm |
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val read_instantiate_sg: Sign.sg -> (string*string)list -> thm -> thm |
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252
7532f95d7f44
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56 |
val read_insts: |
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Sign.sg -> (indexname -> typ option) * (indexname -> sort option) |
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-> (indexname -> typ option) * (indexname -> sort option) |
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-> (string*string)list |
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60 |
-> (indexname*ctyp)list * (cterm*cterm)list |
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val reflexive_thm: thm |
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val revcut_rl: thm |
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val rewrite_goal_rule: bool*bool -> (meta_simpset -> thm -> thm option) |
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-> meta_simpset -> int -> thm -> thm |
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val rewrite_goals_rule: thm list -> thm -> thm |
66 |
val rewrite_rule: thm list -> thm -> thm |
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67 |
val RS: thm * thm -> thm |
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val RSN: thm * (int * thm) -> thm |
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val RL: thm list * thm list -> thm list |
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val RLN: thm list * (int * thm list) -> thm list |
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val show_hyps: bool ref |
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val size_of_thm: thm -> int |
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val standard: thm -> thm |
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val string_of_cterm: cterm -> string |
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val string_of_ctyp: ctyp -> string |
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val string_of_thm: thm -> string |
77 |
val symmetric_thm: thm |
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val transitive_thm: thm |
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val triv_forall_equality: thm |
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val types_sorts: thm -> (indexname-> typ option) * (indexname-> sort option) |
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val zero_var_indexes: thm -> thm |
|
82 |
end |
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83 |
end; |
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7532f95d7f44
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functor DruleFun (structure Logic: LOGIC and Thm: THM): DRULE = |
0 | 86 |
struct |
87 |
structure Thm = Thm; |
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88 |
structure Sign = Thm.Sign; |
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structure Type = Sign.Type; |
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575 | 90 |
structure Syntax = Sign.Syntax; |
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structure Pretty = Syntax.Pretty |
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structure Symtab = Sign.Symtab; |
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0 | 94 |
local open Thm |
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in |
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561 | 97 |
(**** Extend Theories ****) |
98 |
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(** add constant definitions **) |
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(* all_axioms_of *) |
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(*results may contain duplicates!*) |
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104 |
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fun ancestry_of thy = |
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thy :: flat (map ancestry_of (parents_of thy)); |
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val all_axioms_of = flat o map axioms_of o ancestry_of; |
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(* clash_types, clash_consts *) |
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(*check if types have common instance (ignoring sorts)*) |
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fun clash_types ty1 ty2 = |
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let |
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val ty1' = Type.varifyT ty1; |
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val ty2' = incr_tvar (maxidx_of_typ ty1' + 1) (Type.varifyT ty2); |
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119 |
in |
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Type.raw_unify (ty1', ty2') |
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end; |
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fun clash_consts (c1, ty1) (c2, ty2) = |
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c1 = c2 andalso clash_types ty1 ty2; |
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(* clash_defns *) |
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fun clash_defn c_ty (name, tm) = |
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let val (c, ty') = dest_Const (head_of (fst (Logic.dest_equals tm))) in |
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if clash_consts c_ty (c, ty') then Some (name, ty') else None |
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end handle TERM _ => None; |
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fun clash_defns c_ty axms = |
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distinct (mapfilter (clash_defn c_ty) axms); |
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(* dest_defn *) |
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139 |
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140 |
fun dest_defn tm = |
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let |
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fun err msg = raise_term msg [tm]; |
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143 |
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val (lhs, rhs) = Logic.dest_equals tm |
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handle TERM _ => err "Not a meta-equality (==)"; |
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val (head, args) = strip_comb lhs; |
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val (c, ty) = dest_Const head |
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148 |
handle TERM _ => err "Head of lhs not a constant"; |
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149 |
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150 |
fun occs_const (Const c_ty') = clash_consts (c, ty) c_ty' |
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151 |
| occs_const (Abs (_, _, t)) = occs_const t |
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152 |
| occs_const (t $ u) = occs_const t orelse occs_const u |
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153 |
| occs_const _ = false; |
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154 |
in |
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155 |
if not (forall is_Free args) then |
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156 |
err "Arguments of lhs have to be variables" |
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157 |
else if not (null (duplicates args)) then |
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158 |
err "Duplicate variables on lhs" |
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159 |
else if not (term_frees rhs subset args) then |
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160 |
err "Extra variables on rhs" |
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161 |
else if not (term_tfrees rhs subset typ_tfrees ty) then |
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162 |
err "Extra type variables on rhs" |
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163 |
else if occs_const rhs then |
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164 |
err "Constant to be defined clashes with occurrence(s) on rhs" |
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165 |
else (c, ty) |
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166 |
end; |
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167 |
||
168 |
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169 |
(* check_defn *) |
|
170 |
||
171 |
fun err_in_axm name msg = |
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172 |
(writeln msg; error ("The error(s) above occurred in axiom " ^ quote name)); |
|
173 |
||
174 |
fun check_defn sign (axms, (name, tm)) = |
|
175 |
let |
|
176 |
fun show_const (c, ty) = quote (Pretty.string_of (Pretty.block |
|
177 |
[Pretty.str (c ^ " ::"), Pretty.brk 1, Sign.pretty_typ sign ty])); |
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178 |
||
179 |
fun show_defn c (dfn, ty') = show_const (c, ty') ^ " in " ^ dfn; |
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180 |
fun show_defns c = commas o map (show_defn c); |
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181 |
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182 |
val (c, ty) = dest_defn tm |
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183 |
handle TERM (msg, _) => err_in_axm name msg; |
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184 |
val defns = clash_defns (c, ty) axms; |
|
185 |
in |
|
186 |
if not (null defns) then |
|
187 |
err_in_axm name ("Definition of " ^ show_const (c, ty) ^ |
|
188 |
" clashes with " ^ show_defns c defns) |
|
189 |
else (name, tm) :: axms |
|
190 |
end; |
|
191 |
||
192 |
||
193 |
(* add_defs *) |
|
194 |
||
195 |
fun ext_defns prep_axm raw_axms thy = |
|
196 |
let |
|
197 |
val axms = map (prep_axm (sign_of thy)) raw_axms; |
|
198 |
val all_axms = all_axioms_of thy; |
|
199 |
in |
|
200 |
foldl (check_defn (sign_of thy)) (all_axms, axms); |
|
201 |
add_axioms_i axms thy |
|
202 |
end; |
|
203 |
||
204 |
val add_defs_i = ext_defns cert_axm; |
|
205 |
val add_defs = ext_defns read_axm; |
|
206 |
||
207 |
||
208 |
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0 | 209 |
(**** More derived rules and operations on theorems ****) |
210 |
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4002c4cd450c
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lcp
parents:
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diff
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211 |
(** reading of instantiations **) |
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213 |
fun indexname cs = case Syntax.scan_varname cs of (v,[]) => v |
4002c4cd450c
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| _ => error("Lexical error in variable name " ^ quote (implode cs)); |
4002c4cd450c
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216 |
fun absent ixn = |
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217 |
error("No such variable in term: " ^ Syntax.string_of_vname ixn); |
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|
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fun inst_failure ixn = |
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220 |
error("Instantiation of " ^ Syntax.string_of_vname ixn ^ " fails"); |
4002c4cd450c
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lcp
parents:
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221 |
|
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222 |
fun read_insts sign (rtypes,rsorts) (types,sorts) insts = |
4002c4cd450c
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223 |
let val {tsig,...} = Sign.rep_sg sign |
4002c4cd450c
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changeset
|
224 |
fun split([],tvs,vs) = (tvs,vs) |
4002c4cd450c
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|
225 |
| split((sv,st)::l,tvs,vs) = (case explode sv of |
4002c4cd450c
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226 |
"'"::cs => split(l,(indexname cs,st)::tvs,vs) |
4002c4cd450c
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|
227 |
| cs => split(l,tvs,(indexname cs,st)::vs)); |
4002c4cd450c
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|
228 |
val (tvs,vs) = split(insts,[],[]); |
4002c4cd450c
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|
229 |
fun readT((a,i),st) = |
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|
230 |
let val ixn = ("'" ^ a,i); |
4002c4cd450c
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|
231 |
val S = case rsorts ixn of Some S => S | None => absent ixn; |
4002c4cd450c
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|
232 |
val T = Sign.read_typ (sign,sorts) st; |
4002c4cd450c
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|
233 |
in if Type.typ_instance(tsig,T,TVar(ixn,S)) then (ixn,T) |
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|
234 |
else inst_failure ixn |
4002c4cd450c
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|
235 |
end |
4002c4cd450c
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lcp
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diff
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|
236 |
val tye = map readT tvs; |
4002c4cd450c
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|
237 |
fun add_cterm ((cts,tye), (ixn,st)) = |
4002c4cd450c
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diff
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|
238 |
let val T = case rtypes ixn of |
4002c4cd450c
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|
239 |
Some T => typ_subst_TVars tye T |
4002c4cd450c
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240 |
| None => absent ixn; |
4002c4cd450c
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|
241 |
val (ct,tye2) = read_def_cterm (sign,types,sorts) (st,T); |
4002c4cd450c
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lcp
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|
242 |
val cv = cterm_of sign (Var(ixn,typ_subst_TVars tye2 T)) |
4002c4cd450c
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lcp
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|
243 |
in ((cv,ct)::cts,tye2 @ tye) end |
4002c4cd450c
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lcp
parents:
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diff
changeset
|
244 |
val (cterms,tye') = foldl add_cterm (([],tye), vs); |
4002c4cd450c
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lcp
parents:
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diff
changeset
|
245 |
in (map (fn (ixn,T) => (ixn,ctyp_of sign T)) tye', cterms) end; |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
246 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
247 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
248 |
|
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
249 |
(*** Printing of theories, theorems, etc. ***) |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
250 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
251 |
(*If false, hypotheses are printed as dots*) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
252 |
val show_hyps = ref true; |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
253 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
254 |
fun pretty_thm th = |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
255 |
let val {sign, hyps, prop,...} = rep_thm th |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
256 |
val hsymbs = if null hyps then [] |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
257 |
else if !show_hyps then |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
258 |
[Pretty.brk 2, |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
259 |
Pretty.lst("[","]") (map (Sign.pretty_term sign) hyps)] |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
260 |
else Pretty.str" [" :: map (fn _ => Pretty.str".") hyps @ |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
261 |
[Pretty.str"]"]; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
262 |
in Pretty.blk(0, Sign.pretty_term sign prop :: hsymbs) end; |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
263 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
264 |
val string_of_thm = Pretty.string_of o pretty_thm; |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
265 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
266 |
val pprint_thm = Pretty.pprint o Pretty.quote o pretty_thm; |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
267 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
268 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
269 |
(** Top-level commands for printing theorems **) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
270 |
val print_thm = writeln o string_of_thm; |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
271 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
272 |
fun prth th = (print_thm th; th); |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
273 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
274 |
(*Print and return a sequence of theorems, separated by blank lines. *) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
275 |
fun prthq thseq = |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
276 |
(Sequence.prints (fn _ => print_thm) 100000 thseq; thseq); |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
277 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
278 |
(*Print and return a list of theorems, separated by blank lines. *) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
279 |
fun prths ths = (print_list_ln print_thm ths; ths); |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
280 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
281 |
|
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
282 |
(* other printing commands *) |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
283 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
284 |
fun pprint_ctyp cT = |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
285 |
let val {sign, T} = rep_ctyp cT in Sign.pprint_typ sign T end; |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
286 |
|
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
287 |
fun string_of_ctyp cT = |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
288 |
let val {sign, T} = rep_ctyp cT in Sign.string_of_typ sign T end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
289 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
290 |
val print_ctyp = writeln o string_of_ctyp; |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
291 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
292 |
fun pprint_cterm ct = |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
293 |
let val {sign, t, ...} = rep_cterm ct in Sign.pprint_term sign t end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
294 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
295 |
fun string_of_cterm ct = |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
296 |
let val {sign, t, ...} = rep_cterm ct in Sign.string_of_term sign t end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
297 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
298 |
val print_cterm = writeln o string_of_cterm; |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
299 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
300 |
|
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
301 |
(* print theory *) |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
302 |
|
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
303 |
val pprint_theory = Sign.pprint_sg o sign_of; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
304 |
|
575 | 305 |
val print_syntax = Syntax.print_syntax o syn_of; |
306 |
||
385 | 307 |
val print_sign = Sign.print_sg o sign_of; |
308 |
||
309 |
fun print_axioms thy = |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
310 |
let |
400 | 311 |
val {sign, new_axioms, ...} = rep_theory thy; |
312 |
val axioms = Symtab.dest new_axioms; |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
313 |
|
385 | 314 |
fun prt_axm (a, t) = Pretty.block [Pretty.str (a ^ ":"), Pretty.brk 1, |
315 |
Pretty.quote (Sign.pretty_term sign t)]; |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
316 |
in |
385 | 317 |
Pretty.writeln (Pretty.big_list "additional axioms:" (map prt_axm axioms)) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
318 |
end; |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
319 |
|
385 | 320 |
fun print_theory thy = (print_sign thy; print_axioms thy); |
321 |
||
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
322 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
323 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
324 |
(** Print thm A1,...,An/B in "goal style" -- premises as numbered subgoals **) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
325 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
326 |
fun prettyprints es = writeln(Pretty.string_of(Pretty.blk(0,es))); |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
327 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
328 |
fun print_goals maxgoals th : unit = |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
329 |
let val {sign, hyps, prop,...} = rep_thm th; |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
330 |
fun printgoals (_, []) = () |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
331 |
| printgoals (n, A::As) = |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
332 |
let val prettyn = Pretty.str(" " ^ string_of_int n ^ ". "); |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
333 |
val prettyA = Sign.pretty_term sign A |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
334 |
in prettyprints[prettyn,prettyA]; |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
335 |
printgoals (n+1,As) |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
336 |
end; |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
337 |
fun prettypair(t,u) = |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
338 |
Pretty.blk(0, [Sign.pretty_term sign t, Pretty.str" =?=", Pretty.brk 1, |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
339 |
Sign.pretty_term sign u]); |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
340 |
fun printff [] = () |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
341 |
| printff tpairs = |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
342 |
writeln("\nFlex-flex pairs:\n" ^ |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
343 |
Pretty.string_of(Pretty.lst("","") (map prettypair tpairs))) |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
344 |
val (tpairs,As,B) = Logic.strip_horn(prop); |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
345 |
val ngoals = length As |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
346 |
in |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
347 |
writeln (Sign.string_of_term sign B); |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
348 |
if ngoals=0 then writeln"No subgoals!" |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
349 |
else if ngoals>maxgoals |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
350 |
then (printgoals (1, take(maxgoals,As)); |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
351 |
writeln("A total of " ^ string_of_int ngoals ^ " subgoals...")) |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
352 |
else printgoals (1, As); |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
353 |
printff tpairs |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
354 |
end; |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
355 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
356 |
(*"hook" for user interfaces: allows print_goals to be replaced*) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
357 |
val print_goals_ref = ref print_goals; |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
358 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
359 |
(*** Find the type (sort) associated with a (T)Var or (T)Free in a term |
0 | 360 |
Used for establishing default types (of variables) and sorts (of |
361 |
type variables) when reading another term. |
|
362 |
Index -1 indicates that a (T)Free rather than a (T)Var is wanted. |
|
363 |
***) |
|
364 |
||
365 |
fun types_sorts thm = |
|
366 |
let val {prop,hyps,...} = rep_thm thm; |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
367 |
val big = list_comb(prop,hyps); (* bogus term! *) |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
368 |
val vars = map dest_Var (term_vars big); |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
369 |
val frees = map dest_Free (term_frees big); |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
370 |
val tvars = term_tvars big; |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
371 |
val tfrees = term_tfrees big; |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
372 |
fun typ(a,i) = if i<0 then assoc(frees,a) else assoc(vars,(a,i)); |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
373 |
fun sort(a,i) = if i<0 then assoc(tfrees,a) else assoc(tvars,(a,i)); |
0 | 374 |
in (typ,sort) end; |
375 |
||
376 |
(** Standardization of rules **) |
|
377 |
||
378 |
(*Generalization over a list of variables, IGNORING bad ones*) |
|
379 |
fun forall_intr_list [] th = th |
|
380 |
| forall_intr_list (y::ys) th = |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
381 |
let val gth = forall_intr_list ys th |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
382 |
in forall_intr y gth handle THM _ => gth end; |
0 | 383 |
|
384 |
(*Generalization over all suitable Free variables*) |
|
385 |
fun forall_intr_frees th = |
|
386 |
let val {prop,sign,...} = rep_thm th |
|
387 |
in forall_intr_list |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
388 |
(map (cterm_of sign) (sort atless (term_frees prop))) |
0 | 389 |
th |
390 |
end; |
|
391 |
||
392 |
(*Replace outermost quantified variable by Var of given index. |
|
393 |
Could clash with Vars already present.*) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
394 |
fun forall_elim_var i th = |
0 | 395 |
let val {prop,sign,...} = rep_thm th |
396 |
in case prop of |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
397 |
Const("all",_) $ Abs(a,T,_) => |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
398 |
forall_elim (cterm_of sign (Var((a,i), T))) th |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
399 |
| _ => raise THM("forall_elim_var", i, [th]) |
0 | 400 |
end; |
401 |
||
402 |
(*Repeat forall_elim_var until all outer quantifiers are removed*) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
403 |
fun forall_elim_vars i th = |
0 | 404 |
forall_elim_vars i (forall_elim_var i th) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
405 |
handle THM _ => th; |
0 | 406 |
|
407 |
(*Specialization over a list of cterms*) |
|
408 |
fun forall_elim_list cts th = foldr (uncurry forall_elim) (rev cts, th); |
|
409 |
||
410 |
(* maps [A1,...,An], B to [| A1;...;An |] ==> B *) |
|
411 |
fun implies_intr_list cAs th = foldr (uncurry implies_intr) (cAs,th); |
|
412 |
||
413 |
(* maps [| A1;...;An |] ==> B and [A1,...,An] to B *) |
|
414 |
fun implies_elim_list impth ths = foldl (uncurry implies_elim) (impth,ths); |
|
415 |
||
416 |
(*Reset Var indexes to zero, renaming to preserve distinctness*) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
417 |
fun zero_var_indexes th = |
0 | 418 |
let val {prop,sign,...} = rep_thm th; |
419 |
val vars = term_vars prop |
|
420 |
val bs = foldl add_new_id ([], map (fn Var((a,_),_)=>a) vars) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
421 |
val inrs = add_term_tvars(prop,[]); |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
422 |
val nms' = rev(foldl add_new_id ([], map (#1 o #1) inrs)); |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
423 |
val tye = map (fn ((v,rs),a) => (v, TVar((a,0),rs))) (inrs ~~ nms') |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
424 |
val ctye = map (fn (v,T) => (v,ctyp_of sign T)) tye; |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
425 |
fun varpairs([],[]) = [] |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
426 |
| varpairs((var as Var(v,T)) :: vars, b::bs) = |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
427 |
let val T' = typ_subst_TVars tye T |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
428 |
in (cterm_of sign (Var(v,T')), |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
429 |
cterm_of sign (Var((b,0),T'))) :: varpairs(vars,bs) |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
430 |
end |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
431 |
| varpairs _ = raise TERM("varpairs", []); |
0 | 432 |
in instantiate (ctye, varpairs(vars,rev bs)) th end; |
433 |
||
434 |
||
435 |
(*Standard form of object-rule: no hypotheses, Frees, or outer quantifiers; |
|
436 |
all generality expressed by Vars having index 0.*) |
|
437 |
fun standard th = |
|
438 |
let val {maxidx,...} = rep_thm th |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
439 |
in varifyT (zero_var_indexes (forall_elim_vars(maxidx+1) |
0 | 440 |
(forall_intr_frees(implies_intr_hyps th)))) |
441 |
end; |
|
442 |
||
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
443 |
(*Assume a new formula, read following the same conventions as axioms. |
0 | 444 |
Generalizes over Free variables, |
445 |
creates the assumption, and then strips quantifiers. |
|
446 |
Example is [| ALL x:?A. ?P(x) |] ==> [| ?P(?a) |] |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
447 |
[ !(A,P,a)[| ALL x:A. P(x) |] ==> [| P(a) |] ] *) |
0 | 448 |
fun assume_ax thy sP = |
449 |
let val sign = sign_of thy |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
450 |
val prop = Logic.close_form (term_of (read_cterm sign |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
451 |
(sP, propT))) |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
452 |
in forall_elim_vars 0 (assume (cterm_of sign prop)) end; |
0 | 453 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
454 |
(*Resolution: exactly one resolvent must be produced.*) |
0 | 455 |
fun tha RSN (i,thb) = |
456 |
case Sequence.chop (2, biresolution false [(false,tha)] i thb) of |
|
457 |
([th],_) => th |
|
458 |
| ([],_) => raise THM("RSN: no unifiers", i, [tha,thb]) |
|
459 |
| _ => raise THM("RSN: multiple unifiers", i, [tha,thb]); |
|
460 |
||
461 |
(*resolution: P==>Q, Q==>R gives P==>R. *) |
|
462 |
fun tha RS thb = tha RSN (1,thb); |
|
463 |
||
464 |
(*For joining lists of rules*) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
465 |
fun thas RLN (i,thbs) = |
0 | 466 |
let val resolve = biresolution false (map (pair false) thas) i |
467 |
fun resb thb = Sequence.list_of_s (resolve thb) handle THM _ => [] |
|
468 |
in flat (map resb thbs) end; |
|
469 |
||
470 |
fun thas RL thbs = thas RLN (1,thbs); |
|
471 |
||
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
472 |
(*Resolve a list of rules against bottom_rl from right to left; |
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
473 |
makes proof trees*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
474 |
fun rls MRS bottom_rl = |
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
475 |
let fun rs_aux i [] = bottom_rl |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
476 |
| rs_aux i (rl::rls) = rl RSN (i, rs_aux (i+1) rls) |
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
477 |
in rs_aux 1 rls end; |
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
478 |
|
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
479 |
(*As above, but for rule lists*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
480 |
fun rlss MRL bottom_rls = |
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
481 |
let fun rs_aux i [] = bottom_rls |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
482 |
| rs_aux i (rls::rlss) = rls RLN (i, rs_aux (i+1) rlss) |
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
483 |
in rs_aux 1 rlss end; |
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset
|
484 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
485 |
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R |
0 | 486 |
with no lifting or renaming! Q may contain ==> or meta-quants |
487 |
ALWAYS deletes premise i *) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
488 |
fun compose(tha,i,thb) = |
0 | 489 |
Sequence.list_of_s (bicompose false (false,tha,0) i thb); |
490 |
||
491 |
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*) |
|
492 |
fun tha COMP thb = |
|
493 |
case compose(tha,1,thb) of |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
494 |
[th] => th |
0 | 495 |
| _ => raise THM("COMP", 1, [tha,thb]); |
496 |
||
497 |
(*Instantiate theorem th, reading instantiations under signature sg*) |
|
498 |
fun read_instantiate_sg sg sinsts th = |
|
499 |
let val ts = types_sorts th; |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
500 |
in instantiate (read_insts sg ts ts sinsts) th end; |
0 | 501 |
|
502 |
(*Instantiate theorem th, reading instantiations under theory of th*) |
|
503 |
fun read_instantiate sinsts th = |
|
504 |
read_instantiate_sg (#sign (rep_thm th)) sinsts th; |
|
505 |
||
506 |
||
507 |
(*Left-to-right replacements: tpairs = [...,(vi,ti),...]. |
|
508 |
Instantiates distinct Vars by terms, inferring type instantiations. *) |
|
509 |
local |
|
510 |
fun add_types ((ct,cu), (sign,tye)) = |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
511 |
let val {sign=signt, t=t, T= T, ...} = rep_cterm ct |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
512 |
and {sign=signu, t=u, T= U, ...} = rep_cterm cu |
0 | 513 |
val sign' = Sign.merge(sign, Sign.merge(signt, signu)) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
514 |
val tye' = Type.unify (#tsig(Sign.rep_sg sign')) ((T,U), tye) |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
515 |
handle Type.TUNIFY => raise TYPE("add_types", [T,U], [t,u]) |
0 | 516 |
in (sign', tye') end; |
517 |
in |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
518 |
fun cterm_instantiate ctpairs0 th = |
0 | 519 |
let val (sign,tye) = foldr add_types (ctpairs0, (#sign(rep_thm th),[])) |
520 |
val tsig = #tsig(Sign.rep_sg sign); |
|
521 |
fun instT(ct,cu) = let val inst = subst_TVars tye |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
522 |
in (cterm_fun inst ct, cterm_fun inst cu) end |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
523 |
fun ctyp2 (ix,T) = (ix, ctyp_of sign T) |
0 | 524 |
in instantiate (map ctyp2 tye, map instT ctpairs0) th end |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
525 |
handle TERM _ => |
0 | 526 |
raise THM("cterm_instantiate: incompatible signatures",0,[th]) |
527 |
| TYPE _ => raise THM("cterm_instantiate: types", 0, [th]) |
|
528 |
end; |
|
529 |
||
530 |
||
531 |
(** theorem equality test is exported and used by BEST_FIRST **) |
|
532 |
||
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
533 |
(*equality of theorems uses equality of signatures and |
0 | 534 |
the a-convertible test for terms*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
535 |
fun eq_thm (th1,th2) = |
0 | 536 |
let val {sign=sg1, hyps=hyps1, prop=prop1, ...} = rep_thm th1 |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
537 |
and {sign=sg2, hyps=hyps2, prop=prop2, ...} = rep_thm th2 |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
538 |
in Sign.eq_sg (sg1,sg2) andalso |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
539 |
aconvs(hyps1,hyps2) andalso |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
540 |
prop1 aconv prop2 |
0 | 541 |
end; |
542 |
||
543 |
(*Do the two theorems have the same signature?*) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
544 |
fun eq_thm_sg (th1,th2) = Sign.eq_sg(#sign(rep_thm th1), #sign(rep_thm th2)); |
0 | 545 |
|
546 |
(*Useful "distance" function for BEST_FIRST*) |
|
547 |
val size_of_thm = size_of_term o #prop o rep_thm; |
|
548 |
||
549 |
||
550 |
(*** Meta-Rewriting Rules ***) |
|
551 |
||
552 |
||
553 |
val reflexive_thm = |
|
385 | 554 |
let val cx = cterm_of Sign.pure (Var(("x",0),TVar(("'a",0),logicS))) |
0 | 555 |
in Thm.reflexive cx end; |
556 |
||
557 |
val symmetric_thm = |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
558 |
let val xy = read_cterm Sign.pure ("x::'a::logic == y",propT) |
0 | 559 |
in standard(Thm.implies_intr_hyps(Thm.symmetric(Thm.assume xy))) end; |
560 |
||
561 |
val transitive_thm = |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
562 |
let val xy = read_cterm Sign.pure ("x::'a::logic == y",propT) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
563 |
val yz = read_cterm Sign.pure ("y::'a::logic == z",propT) |
0 | 564 |
val xythm = Thm.assume xy and yzthm = Thm.assume yz |
565 |
in standard(Thm.implies_intr yz (Thm.transitive xythm yzthm)) end; |
|
566 |
||
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
567 |
(** Below, a "conversion" has type cterm -> thm **) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
568 |
|
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
569 |
val refl_cimplies = reflexive (cterm_of Sign.pure implies); |
0 | 570 |
|
571 |
(*In [A1,...,An]==>B, rewrite the selected A's only -- for rewrite_goals_tac*) |
|
214
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset
|
572 |
(*Do not rewrite flex-flex pairs*) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
573 |
fun goals_conv pred cv = |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
574 |
let fun gconv i ct = |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
575 |
let val (A,B) = Thm.dest_cimplies ct |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
576 |
val (thA,j) = case term_of A of |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
577 |
Const("=?=",_)$_$_ => (reflexive A, i) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
578 |
| _ => (if pred i then cv A else reflexive A, i+1) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
579 |
in combination (combination refl_cimplies thA) (gconv j B) end |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
580 |
handle TERM _ => reflexive ct |
0 | 581 |
in gconv 1 end; |
582 |
||
583 |
(*Use a conversion to transform a theorem*) |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
584 |
fun fconv_rule cv th = equal_elim (cv (cprop_of th)) th; |
0 | 585 |
|
586 |
(*rewriting conversion*) |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
587 |
fun rew_conv mode prover mss = rewrite_cterm mode mss prover; |
0 | 588 |
|
589 |
(*Rewrite a theorem*) |
|
214
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset
|
590 |
fun rewrite_rule thms = |
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset
|
591 |
fconv_rule (rew_conv (true,false) (K(K None)) (Thm.mss_of thms)); |
0 | 592 |
|
593 |
(*Rewrite the subgoals of a proof state (represented by a theorem) *) |
|
594 |
fun rewrite_goals_rule thms = |
|
214
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset
|
595 |
fconv_rule (goals_conv (K true) (rew_conv (true,false) (K(K None)) |
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset
|
596 |
(Thm.mss_of thms))); |
0 | 597 |
|
598 |
(*Rewrite the subgoal of a proof state (represented by a theorem) *) |
|
214
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset
|
599 |
fun rewrite_goal_rule mode prover mss i thm = |
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset
|
600 |
if 0 < i andalso i <= nprems_of thm |
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset
|
601 |
then fconv_rule (goals_conv (fn j => j=i) (rew_conv mode prover mss)) thm |
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset
|
602 |
else raise THM("rewrite_goal_rule",i,[thm]); |
0 | 603 |
|
604 |
||
605 |
(** Derived rules mainly for METAHYPS **) |
|
606 |
||
607 |
(*Given the term "a", takes (%x.t)==(%x.u) to t[a/x]==u[a/x]*) |
|
608 |
fun equal_abs_elim ca eqth = |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
609 |
let val {sign=signa, t=a, ...} = rep_cterm ca |
0 | 610 |
and combth = combination eqth (reflexive ca) |
611 |
val {sign,prop,...} = rep_thm eqth |
|
612 |
val (abst,absu) = Logic.dest_equals prop |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
613 |
val cterm = cterm_of (Sign.merge (sign,signa)) |
0 | 614 |
in transitive (symmetric (beta_conversion (cterm (abst$a)))) |
615 |
(transitive combth (beta_conversion (cterm (absu$a)))) |
|
616 |
end |
|
617 |
handle THM _ => raise THM("equal_abs_elim", 0, [eqth]); |
|
618 |
||
619 |
(*Calling equal_abs_elim with multiple terms*) |
|
620 |
fun equal_abs_elim_list cts th = foldr (uncurry equal_abs_elim) (rev cts, th); |
|
621 |
||
622 |
local |
|
623 |
open Logic |
|
624 |
val alpha = TVar(("'a",0), []) (* type ?'a::{} *) |
|
625 |
fun err th = raise THM("flexpair_inst: ", 0, [th]) |
|
626 |
fun flexpair_inst def th = |
|
627 |
let val {prop = Const _ $ t $ u, sign,...} = rep_thm th |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
628 |
val cterm = cterm_of sign |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
629 |
fun cvar a = cterm(Var((a,0),alpha)) |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
630 |
val def' = cterm_instantiate [(cvar"t", cterm t), (cvar"u", cterm u)] |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
631 |
def |
0 | 632 |
in equal_elim def' th |
633 |
end |
|
634 |
handle THM _ => err th | bind => err th |
|
635 |
in |
|
636 |
val flexpair_intr = flexpair_inst (symmetric flexpair_def) |
|
637 |
and flexpair_elim = flexpair_inst flexpair_def |
|
638 |
end; |
|
639 |
||
640 |
(*Version for flexflex pairs -- this supports lifting.*) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
641 |
fun flexpair_abs_elim_list cts = |
0 | 642 |
flexpair_intr o equal_abs_elim_list cts o flexpair_elim; |
643 |
||
644 |
||
645 |
(*** Some useful meta-theorems ***) |
|
646 |
||
647 |
(*The rule V/V, obtains assumption solving for eresolve_tac*) |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
648 |
val asm_rl = trivial(read_cterm Sign.pure ("PROP ?psi",propT)); |
0 | 649 |
|
650 |
(*Meta-level cut rule: [| V==>W; V |] ==> W *) |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
651 |
val cut_rl = trivial(read_cterm Sign.pure |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
652 |
("PROP ?psi ==> PROP ?theta", propT)); |
0 | 653 |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
654 |
(*Generalized elim rule for one conclusion; cut_rl with reversed premises: |
0 | 655 |
[| PROP V; PROP V ==> PROP W |] ==> PROP W *) |
656 |
val revcut_rl = |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
657 |
let val V = read_cterm Sign.pure ("PROP V", propT) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
658 |
and VW = read_cterm Sign.pure ("PROP V ==> PROP W", propT); |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
659 |
in standard (implies_intr V |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
660 |
(implies_intr VW |
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
661 |
(implies_elim (assume VW) (assume V)))) |
0 | 662 |
end; |
663 |
||
664 |
(* (!!x. PROP ?V) == PROP ?V Allows removal of redundant parameters*) |
|
665 |
val triv_forall_equality = |
|
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
666 |
let val V = read_cterm Sign.pure ("PROP V", propT) |
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset
|
667 |
and QV = read_cterm Sign.pure ("!!x::'a. PROP V", propT) |
385 | 668 |
and x = read_cterm Sign.pure ("x", TFree("'a",logicS)); |
0 | 669 |
in standard (equal_intr (implies_intr QV (forall_elim x (assume QV))) |
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
670 |
(implies_intr V (forall_intr x (assume V)))) |
0 | 671 |
end; |
672 |
||
673 |
end |
|
674 |
end; |
|
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset
|
675 |