author | Christian Urban <urbanc@in.tum.de> |
Thu, 24 Jun 2010 16:27:40 +0100 | |
changeset 37532 | 8a9a34be09e0 |
parent 37530 | 70d03844b2f9 |
child 37560 | 1b5bbc4a14bc |
permissions | -rw-r--r-- |
35788 | 1 |
(* Title: HOL/Tools/Quotient/quotient_term.thy |
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Initial version of HOL quotient package.
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parents:
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Author: Cezary Kaliszyk and Christian Urban |
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Initial version of HOL quotient package.
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parents:
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Constructs terms corresponding to goals from lifting theorems to |
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quotient types. |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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*) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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signature QUOTIENT_TERM = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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sig |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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exception LIFT_MATCH of string |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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datatype flag = AbsF | RepF |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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val absrep_fun: flag -> Proof.context -> typ * typ -> term |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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val absrep_fun_chk: flag -> Proof.context -> typ * typ -> term |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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(* Allows Nitpick to represent quotient types as single elements from raw type *) |
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Initial version of HOL quotient package.
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parents:
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val absrep_const_chk: flag -> Proof.context -> string -> term |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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val equiv_relation: Proof.context -> typ * typ -> term |
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Initial version of HOL quotient package.
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parents:
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val equiv_relation_chk: Proof.context -> typ * typ -> term |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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val regularize_trm: Proof.context -> term * term -> term |
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Initial version of HOL quotient package.
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parents:
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val regularize_trm_chk: Proof.context -> term * term -> term |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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Initial version of HOL quotient package.
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parents:
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val inj_repabs_trm: Proof.context -> term * term -> term |
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Initial version of HOL quotient package.
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parents:
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val inj_repabs_trm_chk: Proof.context -> term * term -> term |
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Initial version of HOL quotient package.
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parents:
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8a9a34be09e0
slight cleaning and simplification of the automatic wrapper for quotient definitions
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val derive_qtyp: typ list -> typ -> Proof.context -> typ |
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Automated lifting can be restricted to specific quotient types
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val quotient_lift_all: typ list -> Proof.context -> term -> term |
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Initial version of HOL quotient package.
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end; |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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structure Quotient_Term: QUOTIENT_TERM = |
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Initial version of HOL quotient package.
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struct |
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Initial version of HOL quotient package.
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parents:
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Initial version of HOL quotient package.
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parents:
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open Quotient_Info; |
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Initial version of HOL quotient package.
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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exception LIFT_MATCH of string |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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Initial version of HOL quotient package.
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(*** Aggregate Rep/Abs Function ***) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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(* The flag RepF is for types in negative position; AbsF is for types |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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in positive position. Because of this, function types need to be |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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treated specially, since there the polarity changes. |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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*) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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datatype flag = AbsF | RepF |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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fun negF AbsF = RepF |
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Initial version of HOL quotient package.
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| negF RepF = AbsF |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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fun is_identity (Const (@{const_name "id"}, _)) = true |
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Initial version of HOL quotient package.
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parents:
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| is_identity _ = false |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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fun mk_identity ty = Const (@{const_name "id"}, ty --> ty) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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fun mk_fun_compose flag (trm1, trm2) = |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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case flag of |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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AbsF => Const (@{const_name "comp"}, dummyT) $ trm1 $ trm2 |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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| RepF => Const (@{const_name "comp"}, dummyT) $ trm2 $ trm1 |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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fun get_mapfun ctxt s = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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val thy = ProofContext.theory_of ctxt |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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val exn = LIFT_MATCH ("No map function for type " ^ quote s ^ " found.") |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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val mapfun = #mapfun (maps_lookup thy s) handle Quotient_Info.NotFound => raise exn |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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in |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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Const (mapfun, dummyT) |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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(* makes a Free out of a TVar *) |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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fun mk_Free (TVar ((x, i), _)) = Free (unprefix "'" x ^ string_of_int i, dummyT) |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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(* produces an aggregate map function for the |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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rty-part of a quotient definition; abstracts |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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over all variables listed in vs (these variables |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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correspond to the type variables in rty) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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for example for: (?'a list * ?'b) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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it produces: %a b. prod_map (map a) b |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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*) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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fun mk_mapfun ctxt vs rty = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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let |
37530
70d03844b2f9
export of proper information in the ML-interface of the quotient package
Christian Urban <urbanc@in.tum.de>
parents:
37135
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changeset
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val vs' = map mk_Free vs |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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fun mk_mapfun_aux rty = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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case rty of |
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Initial version of HOL quotient package.
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parents:
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TVar _ => mk_Free rty |
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Initial version of HOL quotient package.
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parents:
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| Type (_, []) => mk_identity rty |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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| Type (s, tys) => list_comb (get_mapfun ctxt s, map mk_mapfun_aux tys) |
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Initial version of HOL quotient package.
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parents:
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| _ => raise LIFT_MATCH "mk_mapfun (default)" |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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in |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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fold_rev Term.lambda vs' (mk_mapfun_aux rty) |
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Initial version of HOL quotient package.
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parents:
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end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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(* looks up the (varified) rty and qty for |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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a quotient definition |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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*) |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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fun get_rty_qty ctxt s = |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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let |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
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val thy = ProofContext.theory_of ctxt |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
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val exn = LIFT_MATCH ("No quotient type " ^ quote s ^ " found.") |
37530
70d03844b2f9
export of proper information in the ML-interface of the quotient package
Christian Urban <urbanc@in.tum.de>
parents:
37135
diff
changeset
|
106 |
val qdata = quotdata_lookup thy s handle Quotient_Info.NotFound => raise exn |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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in |
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Initial version of HOL quotient package.
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parents:
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(#rtyp qdata, #qtyp qdata) |
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Initial version of HOL quotient package.
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end |
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Initial version of HOL quotient package.
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parents:
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Initial version of HOL quotient package.
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parents:
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(* takes two type-environments and looks |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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112 |
up in both of them the variable v, which |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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must be listed in the environment |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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*) |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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fun double_lookup rtyenv qtyenv v = |
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Initial version of HOL quotient package.
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let |
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Initial version of HOL quotient package.
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parents:
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val v' = fst (dest_TVar v) |
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Initial version of HOL quotient package.
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parents:
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in |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
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119 |
(snd (the (Vartab.lookup rtyenv v')), snd (the (Vartab.lookup qtyenv v'))) |
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Initial version of HOL quotient package.
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120 |
end |
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Initial version of HOL quotient package.
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121 |
|
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Initial version of HOL quotient package.
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122 |
(* matches a type pattern with a type *) |
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Initial version of HOL quotient package.
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123 |
fun match ctxt err ty_pat ty = |
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Initial version of HOL quotient package.
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124 |
let |
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Initial version of HOL quotient package.
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125 |
val thy = ProofContext.theory_of ctxt |
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Initial version of HOL quotient package.
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parents:
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126 |
in |
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Initial version of HOL quotient package.
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127 |
Sign.typ_match thy (ty_pat, ty) Vartab.empty |
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Initial version of HOL quotient package.
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128 |
handle MATCH_TYPE => err ctxt ty_pat ty |
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Initial version of HOL quotient package.
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129 |
end |
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Initial version of HOL quotient package.
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130 |
|
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Initial version of HOL quotient package.
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131 |
(* produces the rep or abs constant for a qty *) |
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Initial version of HOL quotient package.
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132 |
fun absrep_const flag ctxt qty_str = |
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Initial version of HOL quotient package.
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133 |
let |
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Initial version of HOL quotient package.
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134 |
val qty_name = Long_Name.base_name qty_str |
35843
23908b4dbc2f
Check that argument is not a 'Bound' before calling fastype_of.
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parents:
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135 |
val qualifier = Long_Name.qualifier qty_str |
35222
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Initial version of HOL quotient package.
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136 |
in |
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Initial version of HOL quotient package.
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parents:
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137 |
case flag of |
35843
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Check that argument is not a 'Bound' before calling fastype_of.
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parents:
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138 |
AbsF => Const (Long_Name.qualify qualifier ("abs_" ^ qty_name), dummyT) |
23908b4dbc2f
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139 |
| RepF => Const (Long_Name.qualify qualifier ("rep_" ^ qty_name), dummyT) |
35222
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Initial version of HOL quotient package.
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140 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
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141 |
|
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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142 |
(* Lets Nitpick represent elements of quotient types as elements of the raw type *) |
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Initial version of HOL quotient package.
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143 |
fun absrep_const_chk flag ctxt qty_str = |
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Initial version of HOL quotient package.
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parents:
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144 |
Syntax.check_term ctxt (absrep_const flag ctxt qty_str) |
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Initial version of HOL quotient package.
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parents:
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145 |
|
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Initial version of HOL quotient package.
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parents:
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146 |
fun absrep_match_err ctxt ty_pat ty = |
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Initial version of HOL quotient package.
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147 |
let |
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Initial version of HOL quotient package.
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148 |
val ty_pat_str = Syntax.string_of_typ ctxt ty_pat |
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Initial version of HOL quotient package.
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149 |
val ty_str = Syntax.string_of_typ ctxt ty |
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Initial version of HOL quotient package.
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150 |
in |
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Initial version of HOL quotient package.
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151 |
raise LIFT_MATCH (space_implode " " |
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Initial version of HOL quotient package.
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152 |
["absrep_fun (Types ", quote ty_pat_str, "and", quote ty_str, " do not match.)"]) |
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153 |
end |
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Initial version of HOL quotient package.
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parents:
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154 |
|
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Initial version of HOL quotient package.
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155 |
|
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Initial version of HOL quotient package.
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156 |
(** generation of an aggregate absrep function **) |
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Initial version of HOL quotient package.
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157 |
|
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Initial version of HOL quotient package.
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158 |
(* - In case of equal types we just return the identity. |
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Initial version of HOL quotient package.
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parents:
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159 |
|
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Initial version of HOL quotient package.
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parents:
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160 |
- In case of TFrees we also return the identity. |
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Initial version of HOL quotient package.
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parents:
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161 |
|
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Initial version of HOL quotient package.
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parents:
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162 |
- In case of function types we recurse taking |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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163 |
the polarity change into account. |
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Initial version of HOL quotient package.
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parents:
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164 |
|
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Initial version of HOL quotient package.
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parents:
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165 |
- If the type constructors are equal, we recurse for the |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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166 |
arguments and build the appropriate map function. |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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167 |
|
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Initial version of HOL quotient package.
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parents:
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168 |
- If the type constructors are unequal, there must be an |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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169 |
instance of quotient types: |
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Initial version of HOL quotient package.
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parents:
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170 |
|
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Initial version of HOL quotient package.
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parents:
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171 |
- we first look up the corresponding rty_pat and qty_pat |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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172 |
from the quotient definition; the arguments of qty_pat |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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173 |
must be some distinct TVars |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
174 |
- we then match the rty_pat with rty and qty_pat with qty; |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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175 |
if matching fails the types do not correspond -> error |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
176 |
- the matching produces two environments; we look up the |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
177 |
assignments for the qty_pat variables and recurse on the |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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178 |
assignments |
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Initial version of HOL quotient package.
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parents:
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179 |
- we prefix the aggregate map function for the rty_pat, |
4f1fba00f66d
Initial version of HOL quotient package.
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180 |
which is an abstraction over all type variables |
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Initial version of HOL quotient package.
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parents:
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181 |
- finally we compose the result with the appropriate |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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182 |
absrep function in case at least one argument produced |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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183 |
a non-identity function / |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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184 |
otherwise we just return the appropriate absrep |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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185 |
function |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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186 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
187 |
The composition is necessary for types like |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
188 |
|
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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189 |
('a list) list / ('a foo) foo |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
190 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
|
191 |
The matching is necessary for types like |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
|
192 |
|
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
193 |
('a * 'a) list / 'a bar |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
194 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
195 |
The test is necessary in order to eliminate superfluous |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
196 |
identity maps. |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
197 |
*) |
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Initial version of HOL quotient package.
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parents:
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|
198 |
|
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Initial version of HOL quotient package.
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parents:
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199 |
fun absrep_fun flag ctxt (rty, qty) = |
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Initial version of HOL quotient package.
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parents:
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200 |
if rty = qty |
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Initial version of HOL quotient package.
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201 |
then mk_identity rty |
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Initial version of HOL quotient package.
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parents:
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202 |
else |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
203 |
case (rty, qty) of |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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204 |
(Type ("fun", [ty1, ty2]), Type ("fun", [ty1', ty2'])) => |
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Initial version of HOL quotient package.
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parents:
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205 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
206 |
val arg1 = absrep_fun (negF flag) ctxt (ty1, ty1') |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
207 |
val arg2 = absrep_fun flag ctxt (ty2, ty2') |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
208 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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|
209 |
list_comb (get_mapfun ctxt "fun", [arg1, arg2]) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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210 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
211 |
| (Type (s, tys), Type (s', tys')) => |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
212 |
if s = s' |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
213 |
then |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
214 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
215 |
val args = map (absrep_fun flag ctxt) (tys ~~ tys') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
216 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
217 |
list_comb (get_mapfun ctxt s, args) |
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Initial version of HOL quotient package.
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parents:
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218 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
219 |
else |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
220 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
221 |
val (rty_pat, qty_pat as Type (_, vs)) = get_rty_qty ctxt s' |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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222 |
val rtyenv = match ctxt absrep_match_err rty_pat rty |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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223 |
val qtyenv = match ctxt absrep_match_err qty_pat qty |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
224 |
val args_aux = map (double_lookup rtyenv qtyenv) vs |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
225 |
val args = map (absrep_fun flag ctxt) args_aux |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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226 |
val map_fun = mk_mapfun ctxt vs rty_pat |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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227 |
val result = list_comb (map_fun, args) |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
228 |
in |
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Initial version of HOL quotient package.
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parents:
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229 |
if forall is_identity args |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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230 |
then absrep_const flag ctxt s' |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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231 |
else mk_fun_compose flag (absrep_const flag ctxt s', result) |
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Initial version of HOL quotient package.
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parents:
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|
232 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
233 |
| (TFree x, TFree x') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
|
234 |
if x = x' |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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|
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then mk_identity rty |
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Initial version of HOL quotient package.
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236 |
else raise (LIFT_MATCH "absrep_fun (frees)") |
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Initial version of HOL quotient package.
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parents:
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237 |
| (TVar _, TVar _) => raise (LIFT_MATCH "absrep_fun (vars)") |
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Initial version of HOL quotient package.
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parents:
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238 |
| _ => raise (LIFT_MATCH "absrep_fun (default)") |
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Initial version of HOL quotient package.
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parents:
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239 |
|
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Initial version of HOL quotient package.
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parents:
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240 |
fun absrep_fun_chk flag ctxt (rty, qty) = |
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Initial version of HOL quotient package.
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241 |
absrep_fun flag ctxt (rty, qty) |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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242 |
|> Syntax.check_term ctxt |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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243 |
|
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Initial version of HOL quotient package.
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parents:
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244 |
|
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Initial version of HOL quotient package.
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245 |
|
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Initial version of HOL quotient package.
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parents:
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246 |
|
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Initial version of HOL quotient package.
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247 |
(*** Aggregate Equivalence Relation ***) |
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Initial version of HOL quotient package.
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248 |
|
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Initial version of HOL quotient package.
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249 |
|
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Initial version of HOL quotient package.
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250 |
(* works very similar to the absrep generation, |
4f1fba00f66d
Initial version of HOL quotient package.
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251 |
except there is no need for polarities |
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Initial version of HOL quotient package.
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parents:
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252 |
*) |
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Initial version of HOL quotient package.
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253 |
|
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Initial version of HOL quotient package.
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254 |
(* instantiates TVars so that the term is of type ty *) |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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255 |
fun force_typ ctxt trm ty = |
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Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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256 |
let |
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Initial version of HOL quotient package.
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parents:
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257 |
val thy = ProofContext.theory_of ctxt |
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Initial version of HOL quotient package.
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parents:
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258 |
val trm_ty = fastype_of trm |
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Initial version of HOL quotient package.
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parents:
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259 |
val ty_inst = Sign.typ_match thy (trm_ty, ty) Vartab.empty |
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Initial version of HOL quotient package.
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parents:
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260 |
in |
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Initial version of HOL quotient package.
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parents:
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261 |
map_types (Envir.subst_type ty_inst) trm |
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Initial version of HOL quotient package.
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parents:
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262 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
263 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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264 |
fun is_eq (Const (@{const_name "op ="}, _)) = true |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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265 |
| is_eq _ = false |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
266 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
267 |
fun mk_rel_compose (trm1, trm2) = |
35402 | 268 |
Const (@{const_abbrev "rel_conj"}, dummyT) $ trm1 $ trm2 |
35222
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Initial version of HOL quotient package.
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parents:
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|
269 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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270 |
fun get_relmap ctxt s = |
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Initial version of HOL quotient package.
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parents:
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271 |
let |
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Initial version of HOL quotient package.
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parents:
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272 |
val thy = ProofContext.theory_of ctxt |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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273 |
val exn = LIFT_MATCH ("get_relmap (no relation map function found for type " ^ s ^ ")") |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
274 |
val relmap = #relmap (maps_lookup thy s) handle Quotient_Info.NotFound => raise exn |
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Initial version of HOL quotient package.
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parents:
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275 |
in |
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Initial version of HOL quotient package.
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parents:
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276 |
Const (relmap, dummyT) |
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Initial version of HOL quotient package.
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parents:
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277 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
278 |
|
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
279 |
fun mk_relmap ctxt vs rty = |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
280 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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281 |
val vs' = map (mk_Free) vs |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
282 |
|
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
283 |
fun mk_relmap_aux rty = |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
284 |
case rty of |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
285 |
TVar _ => mk_Free rty |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
286 |
| Type (_, []) => HOLogic.eq_const rty |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
287 |
| Type (s, tys) => list_comb (get_relmap ctxt s, map mk_relmap_aux tys) |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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changeset
|
288 |
| _ => raise LIFT_MATCH ("mk_relmap (default)") |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
|
289 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
290 |
fold_rev Term.lambda vs' (mk_relmap_aux rty) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
291 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
|
292 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
293 |
fun get_equiv_rel ctxt s = |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
294 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
|
295 |
val thy = ProofContext.theory_of ctxt |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
296 |
val exn = LIFT_MATCH ("get_quotdata (no quotient found for type " ^ s ^ ")") |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
297 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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changeset
|
298 |
#equiv_rel (quotdata_lookup thy s) handle Quotient_Info.NotFound => raise exn |
4f1fba00f66d
Initial version of HOL quotient package.
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parents:
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|
299 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
300 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
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|
301 |
fun equiv_match_err ctxt ty_pat ty = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
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|
302 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
303 |
val ty_pat_str = Syntax.string_of_typ ctxt ty_pat |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
304 |
val ty_str = Syntax.string_of_typ ctxt ty |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
305 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
306 |
raise LIFT_MATCH (space_implode " " |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
307 |
["equiv_relation (Types ", quote ty_pat_str, "and", quote ty_str, " do not match.)"]) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
308 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
309 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
310 |
(* builds the aggregate equivalence relation |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
311 |
that will be the argument of Respects |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
312 |
*) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
313 |
fun equiv_relation ctxt (rty, qty) = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
314 |
if rty = qty |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
315 |
then HOLogic.eq_const rty |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
316 |
else |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
317 |
case (rty, qty) of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
318 |
(Type (s, tys), Type (s', tys')) => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
319 |
if s = s' |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
320 |
then |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
321 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
322 |
val args = map (equiv_relation ctxt) (tys ~~ tys') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
323 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
324 |
list_comb (get_relmap ctxt s, args) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
325 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
326 |
else |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
327 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
328 |
val (rty_pat, qty_pat as Type (_, vs)) = get_rty_qty ctxt s' |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
329 |
val rtyenv = match ctxt equiv_match_err rty_pat rty |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
330 |
val qtyenv = match ctxt equiv_match_err qty_pat qty |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
331 |
val args_aux = map (double_lookup rtyenv qtyenv) vs |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
332 |
val args = map (equiv_relation ctxt) args_aux |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
333 |
val rel_map = mk_relmap ctxt vs rty_pat |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
334 |
val result = list_comb (rel_map, args) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
335 |
val eqv_rel = get_equiv_rel ctxt s' |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
336 |
val eqv_rel' = force_typ ctxt eqv_rel ([rty, rty] ---> @{typ bool}) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
337 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
338 |
if forall is_eq args |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
339 |
then eqv_rel' |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
340 |
else mk_rel_compose (result, eqv_rel') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
341 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
342 |
| _ => HOLogic.eq_const rty |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
343 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
344 |
fun equiv_relation_chk ctxt (rty, qty) = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
345 |
equiv_relation ctxt (rty, qty) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
346 |
|> Syntax.check_term ctxt |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
347 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
348 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
349 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
350 |
(*** Regularization ***) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
351 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
352 |
(* Regularizing an rtrm means: |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
353 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
354 |
- Quantifiers over types that need lifting are replaced |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
355 |
by bounded quantifiers, for example: |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
356 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
357 |
All P ----> All (Respects R) P |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
358 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
359 |
where the aggregate relation R is given by the rty and qty; |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
360 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
361 |
- Abstractions over types that need lifting are replaced |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
362 |
by bounded abstractions, for example: |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
363 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
364 |
%x. P ----> Ball (Respects R) %x. P |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
365 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
366 |
- Equalities over types that need lifting are replaced by |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
367 |
corresponding equivalence relations, for example: |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
368 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
369 |
A = B ----> R A B |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
370 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
371 |
or |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
372 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
373 |
A = B ----> (R ===> R) A B |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
374 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
375 |
for more complicated types of A and B |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
376 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
377 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
378 |
The regularize_trm accepts raw theorems in which equalities |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
379 |
and quantifiers match exactly the ones in the lifted theorem |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
380 |
but also accepts partially regularized terms. |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
381 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
382 |
This means that the raw theorems can have: |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
383 |
Ball (Respects R), Bex (Respects R), Bex1_rel (Respects R), Babs, R |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
384 |
in the places where: |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
385 |
All, Ex, Ex1, %, (op =) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
386 |
is required the lifted theorem. |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
387 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
388 |
*) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
389 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
390 |
val mk_babs = Const (@{const_name Babs}, dummyT) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
391 |
val mk_ball = Const (@{const_name Ball}, dummyT) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
392 |
val mk_bex = Const (@{const_name Bex}, dummyT) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
393 |
val mk_bex1_rel = Const (@{const_name Bex1_rel}, dummyT) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
394 |
val mk_resp = Const (@{const_name Respects}, dummyT) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
395 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
396 |
(* - applies f to the subterm of an abstraction, |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
397 |
otherwise to the given term, |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
398 |
- used by regularize, therefore abstracted |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
399 |
variables do not have to be treated specially |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
400 |
*) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
401 |
fun apply_subt f (trm1, trm2) = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
402 |
case (trm1, trm2) of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
403 |
(Abs (x, T, t), Abs (_ , _, t')) => Abs (x, T, f (t, t')) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
404 |
| _ => f (trm1, trm2) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
405 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
406 |
fun term_mismatch str ctxt t1 t2 = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
407 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
408 |
val t1_str = Syntax.string_of_term ctxt t1 |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
409 |
val t2_str = Syntax.string_of_term ctxt t2 |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
410 |
val t1_ty_str = Syntax.string_of_typ ctxt (fastype_of t1) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
411 |
val t2_ty_str = Syntax.string_of_typ ctxt (fastype_of t2) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
412 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
413 |
raise LIFT_MATCH (cat_lines [str, t1_str ^ "::" ^ t1_ty_str, t2_str ^ "::" ^ t2_ty_str]) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
414 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
415 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
416 |
(* the major type of All and Ex quantifiers *) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
417 |
fun qnt_typ ty = domain_type (domain_type ty) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
418 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
419 |
(* Checks that two types match, for example: |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
420 |
rty -> rty matches qty -> qty *) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
421 |
fun matches_typ thy rT qT = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
422 |
if rT = qT then true else |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
423 |
case (rT, qT) of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
424 |
(Type (rs, rtys), Type (qs, qtys)) => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
425 |
if rs = qs then |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
426 |
if length rtys <> length qtys then false else |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
427 |
forall (fn x => x = true) (map2 (matches_typ thy) rtys qtys) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
428 |
else |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
429 |
(case Quotient_Info.quotdata_lookup_raw thy qs of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
430 |
SOME quotinfo => Sign.typ_instance thy (rT, #rtyp quotinfo) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
431 |
| NONE => false) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
432 |
| _ => false |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
433 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
434 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
435 |
(* produces a regularized version of rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
436 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
437 |
- the result might contain dummyTs |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
438 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
439 |
- for regularisation we do not need any |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
440 |
special treatment of bound variables |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
441 |
*) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
442 |
fun regularize_trm ctxt (rtrm, qtrm) = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
443 |
case (rtrm, qtrm) of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
444 |
(Abs (x, ty, t), Abs (_, ty', t')) => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
445 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
446 |
val subtrm = Abs(x, ty, regularize_trm ctxt (t, t')) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
447 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
448 |
if ty = ty' then subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
449 |
else mk_babs $ (mk_resp $ equiv_relation ctxt (ty, ty')) $ subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
450 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
451 |
| (Const (@{const_name "Babs"}, T) $ resrel $ (t as (Abs (_, ty, _))), t' as (Abs (_, ty', _))) => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
452 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
453 |
val subtrm = regularize_trm ctxt (t, t') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
454 |
val needres = mk_resp $ equiv_relation_chk ctxt (ty, ty') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
455 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
456 |
if resrel <> needres |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
457 |
then term_mismatch "regularize (Babs)" ctxt resrel needres |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
458 |
else mk_babs $ resrel $ subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
459 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
460 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
461 |
| (Const (@{const_name "All"}, ty) $ t, Const (@{const_name "All"}, ty') $ t') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
462 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
463 |
val subtrm = apply_subt (regularize_trm ctxt) (t, t') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
464 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
465 |
if ty = ty' then Const (@{const_name "All"}, ty) $ subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
466 |
else mk_ball $ (mk_resp $ equiv_relation ctxt (qnt_typ ty, qnt_typ ty')) $ subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
467 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
468 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
469 |
| (Const (@{const_name "Ex"}, ty) $ t, Const (@{const_name "Ex"}, ty') $ t') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
470 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
471 |
val subtrm = apply_subt (regularize_trm ctxt) (t, t') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
472 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
473 |
if ty = ty' then Const (@{const_name "Ex"}, ty) $ subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
474 |
else mk_bex $ (mk_resp $ equiv_relation ctxt (qnt_typ ty, qnt_typ ty')) $ subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
475 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
476 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
477 |
| (Const (@{const_name "Ex1"}, ty) $ (Abs (_, _, |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
478 |
(Const (@{const_name "op &"}, _) $ (Const (@{const_name "op :"}, _) $ _ $ |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
479 |
(Const (@{const_name "Respects"}, _) $ resrel)) $ (t $ _)))), |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
480 |
Const (@{const_name "Ex1"}, ty') $ t') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
481 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
482 |
val t_ = incr_boundvars (~1) t |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
483 |
val subtrm = apply_subt (regularize_trm ctxt) (t_, t') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
484 |
val needrel = equiv_relation_chk ctxt (qnt_typ ty, qnt_typ ty') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
485 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
486 |
if resrel <> needrel |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
487 |
then term_mismatch "regularize (Bex1)" ctxt resrel needrel |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
488 |
else mk_bex1_rel $ resrel $ subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
489 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
490 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
491 |
| (Const (@{const_name "Ex1"}, ty) $ t, Const (@{const_name "Ex1"}, ty') $ t') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
492 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
493 |
val subtrm = apply_subt (regularize_trm ctxt) (t, t') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
494 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
495 |
if ty = ty' then Const (@{const_name "Ex1"}, ty) $ subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
496 |
else mk_bex1_rel $ (equiv_relation ctxt (qnt_typ ty, qnt_typ ty')) $ subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
497 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
498 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
499 |
| (Const (@{const_name "Ball"}, ty) $ (Const (@{const_name "Respects"}, _) $ resrel) $ t, |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
500 |
Const (@{const_name "All"}, ty') $ t') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
501 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
502 |
val subtrm = apply_subt (regularize_trm ctxt) (t, t') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
503 |
val needrel = equiv_relation_chk ctxt (qnt_typ ty, qnt_typ ty') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
504 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
505 |
if resrel <> needrel |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
506 |
then term_mismatch "regularize (Ball)" ctxt resrel needrel |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
507 |
else mk_ball $ (mk_resp $ resrel) $ subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
508 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
509 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
510 |
| (Const (@{const_name "Bex"}, ty) $ (Const (@{const_name "Respects"}, _) $ resrel) $ t, |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
511 |
Const (@{const_name "Ex"}, ty') $ t') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
512 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
513 |
val subtrm = apply_subt (regularize_trm ctxt) (t, t') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
514 |
val needrel = equiv_relation_chk ctxt (qnt_typ ty, qnt_typ ty') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
515 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
516 |
if resrel <> needrel |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
517 |
then term_mismatch "regularize (Bex)" ctxt resrel needrel |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
518 |
else mk_bex $ (mk_resp $ resrel) $ subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
519 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
520 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
521 |
| (Const (@{const_name "Bex1_rel"}, ty) $ resrel $ t, Const (@{const_name "Ex1"}, ty') $ t') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
522 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
523 |
val subtrm = apply_subt (regularize_trm ctxt) (t, t') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
524 |
val needrel = equiv_relation_chk ctxt (qnt_typ ty, qnt_typ ty') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
525 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
526 |
if resrel <> needrel |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
527 |
then term_mismatch "regularize (Bex1_res)" ctxt resrel needrel |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
528 |
else mk_bex1_rel $ resrel $ subtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
529 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
530 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
531 |
| (* equalities need to be replaced by appropriate equivalence relations *) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
532 |
(Const (@{const_name "op ="}, ty), Const (@{const_name "op ="}, ty')) => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
533 |
if ty = ty' then rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
534 |
else equiv_relation ctxt (domain_type ty, domain_type ty') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
535 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
536 |
| (* in this case we just check whether the given equivalence relation is correct *) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
537 |
(rel, Const (@{const_name "op ="}, ty')) => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
538 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
539 |
val rel_ty = fastype_of rel |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
540 |
val rel' = equiv_relation_chk ctxt (domain_type rel_ty, domain_type ty') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
541 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
542 |
if rel' aconv rel then rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
543 |
else term_mismatch "regularise (relation mismatch)" ctxt rel rel' |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
544 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
545 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
546 |
| (_, Const _) => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
547 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
548 |
val thy = ProofContext.theory_of ctxt |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
549 |
fun same_const (Const (s, T)) (Const (s', T')) = (s = s') andalso matches_typ thy T T' |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
550 |
| same_const _ _ = false |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
551 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
552 |
if same_const rtrm qtrm then rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
553 |
else |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
554 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
555 |
val rtrm' = #rconst (qconsts_lookup thy qtrm) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
556 |
handle Quotient_Info.NotFound => term_mismatch "regularize(constant notfound)" ctxt rtrm qtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
557 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
558 |
if Pattern.matches thy (rtrm', rtrm) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
559 |
then rtrm else term_mismatch "regularize(constant mismatch)" ctxt rtrm qtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
560 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
561 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
562 |
|
37135 | 563 |
| (((t1 as Const (@{const_name split}, _)) $ Abs (v1, ty, Abs(v1', ty', s1))), |
564 |
((t2 as Const (@{const_name split}, _)) $ Abs (v2, _ , Abs(v2', _ , s2)))) => |
|
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
565 |
regularize_trm ctxt (t1, t2) $ Abs (v1, ty, Abs (v1', ty', regularize_trm ctxt (s1, s2))) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
566 |
|
37135 | 567 |
| (((t1 as Const (@{const_name split}, _)) $ Abs (v1, ty, s1)), |
568 |
((t2 as Const (@{const_name split}, _)) $ Abs (v2, _ , s2))) => |
|
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
569 |
regularize_trm ctxt (t1, t2) $ Abs (v1, ty, regularize_trm ctxt (s1, s2)) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
570 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
571 |
| (t1 $ t2, t1' $ t2') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
572 |
regularize_trm ctxt (t1, t1') $ regularize_trm ctxt (t2, t2') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
573 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
574 |
| (Bound i, Bound i') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
575 |
if i = i' then rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
576 |
else raise (LIFT_MATCH "regularize (bounds mismatch)") |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
577 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
578 |
| _ => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
579 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
580 |
val rtrm_str = Syntax.string_of_term ctxt rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
581 |
val qtrm_str = Syntax.string_of_term ctxt qtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
582 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
583 |
raise (LIFT_MATCH ("regularize failed (default: " ^ rtrm_str ^ "," ^ qtrm_str ^ ")")) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
584 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
585 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
586 |
fun regularize_trm_chk ctxt (rtrm, qtrm) = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
587 |
regularize_trm ctxt (rtrm, qtrm) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
588 |
|> Syntax.check_term ctxt |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
589 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
590 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
591 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
592 |
(*** Rep/Abs Injection ***) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
593 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
594 |
(* |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
595 |
Injection of Rep/Abs means: |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
596 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
597 |
For abstractions: |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
598 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
599 |
* If the type of the abstraction needs lifting, then we add Rep/Abs |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
600 |
around the abstraction; otherwise we leave it unchanged. |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
601 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
602 |
For applications: |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
603 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
604 |
* If the application involves a bounded quantifier, we recurse on |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
605 |
the second argument. If the application is a bounded abstraction, |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
606 |
we always put an Rep/Abs around it (since bounded abstractions |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
607 |
are assumed to always need lifting). Otherwise we recurse on both |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
608 |
arguments. |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
609 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
610 |
For constants: |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
611 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
612 |
* If the constant is (op =), we leave it always unchanged. |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
613 |
Otherwise the type of the constant needs lifting, we put |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
614 |
and Rep/Abs around it. |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
615 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
616 |
For free variables: |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
617 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
618 |
* We put a Rep/Abs around it if the type needs lifting. |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
619 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
620 |
Vars case cannot occur. |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
621 |
*) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
622 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
623 |
fun mk_repabs ctxt (T, T') trm = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
624 |
absrep_fun RepF ctxt (T, T') $ (absrep_fun AbsF ctxt (T, T') $ trm) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
625 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
626 |
fun inj_repabs_err ctxt msg rtrm qtrm = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
627 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
628 |
val rtrm_str = Syntax.string_of_term ctxt rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
629 |
val qtrm_str = Syntax.string_of_term ctxt qtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
630 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
631 |
raise LIFT_MATCH (space_implode " " [msg, quote rtrm_str, "and", quote qtrm_str]) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
632 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
633 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
634 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
635 |
(* bound variables need to be treated properly, |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
636 |
as the type of subterms needs to be calculated *) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
637 |
fun inj_repabs_trm ctxt (rtrm, qtrm) = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
638 |
case (rtrm, qtrm) of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
639 |
(Const (@{const_name "Ball"}, T) $ r $ t, Const (@{const_name "All"}, _) $ t') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
640 |
Const (@{const_name "Ball"}, T) $ r $ (inj_repabs_trm ctxt (t, t')) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
641 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
642 |
| (Const (@{const_name "Bex"}, T) $ r $ t, Const (@{const_name "Ex"}, _) $ t') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
643 |
Const (@{const_name "Bex"}, T) $ r $ (inj_repabs_trm ctxt (t, t')) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
644 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
645 |
| (Const (@{const_name "Babs"}, T) $ r $ t, t' as (Abs _)) => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
646 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
647 |
val rty = fastype_of rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
648 |
val qty = fastype_of qtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
649 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
650 |
mk_repabs ctxt (rty, qty) (Const (@{const_name "Babs"}, T) $ r $ (inj_repabs_trm ctxt (t, t'))) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
651 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
652 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
653 |
| (Abs (x, T, t), Abs (x', T', t')) => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
654 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
655 |
val rty = fastype_of rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
656 |
val qty = fastype_of qtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
657 |
val (y, s) = Term.dest_abs (x, T, t) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
658 |
val (_, s') = Term.dest_abs (x', T', t') |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
659 |
val yvar = Free (y, T) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
660 |
val result = Term.lambda_name (y, yvar) (inj_repabs_trm ctxt (s, s')) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
661 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
662 |
if rty = qty then result |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
663 |
else mk_repabs ctxt (rty, qty) result |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
664 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
665 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
666 |
| (t $ s, t' $ s') => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
667 |
(inj_repabs_trm ctxt (t, t')) $ (inj_repabs_trm ctxt (s, s')) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
668 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
669 |
| (Free (_, T), Free (_, T')) => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
670 |
if T = T' then rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
671 |
else mk_repabs ctxt (T, T') rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
672 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
673 |
| (_, Const (@{const_name "op ="}, _)) => rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
674 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
675 |
| (_, Const (_, T')) => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
676 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
677 |
val rty = fastype_of rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
678 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
679 |
if rty = T' then rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
680 |
else mk_repabs ctxt (rty, T') rtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
681 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
682 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
683 |
| _ => inj_repabs_err ctxt "injection (default):" rtrm qtrm |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
684 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
685 |
fun inj_repabs_trm_chk ctxt (rtrm, qtrm) = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
686 |
inj_repabs_trm ctxt (rtrm, qtrm) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
687 |
|> Syntax.check_term ctxt |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
688 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
689 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
690 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
691 |
(*** Wrapper for automatically transforming an rthm into a qthm ***) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
692 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
693 |
(* subst_tys takes a list of (rty, qty) substitution pairs |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
694 |
and replaces all occurences of rty in the given type |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
695 |
by appropriate qty, with substitution *) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
696 |
fun subst_ty thy ty (rty, qty) r = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
697 |
if r <> NONE then r else |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
698 |
case try (Sign.typ_match thy (rty, ty)) Vartab.empty of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
699 |
SOME inst => SOME (Envir.subst_type inst qty) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
700 |
| NONE => NONE |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
701 |
fun subst_tys thy substs ty = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
702 |
case fold (subst_ty thy ty) substs NONE of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
703 |
SOME ty => ty |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
704 |
| NONE => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
705 |
(case ty of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
706 |
Type (s, tys) => Type (s, map (subst_tys thy substs) tys) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
707 |
| x => x) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
708 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
709 |
(* subst_trms takes a list of (rtrm, qtrm) substitution pairs |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
710 |
and if the given term matches any of the raw terms it |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
711 |
returns the appropriate qtrm instantiated. If none of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
712 |
them matched it returns NONE. *) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
713 |
fun subst_trm thy t (rtrm, qtrm) s = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
714 |
if s <> NONE then s else |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
715 |
case try (Pattern.match thy (rtrm, t)) (Vartab.empty, Vartab.empty) of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
716 |
SOME inst => SOME (Envir.subst_term inst qtrm) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
717 |
| NONE => NONE; |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
718 |
fun subst_trms thy substs t = fold (subst_trm thy t) substs NONE |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
719 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
720 |
(* prepares type and term substitution pairs to be used by above |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
721 |
functions that let replace all raw constructs by appropriate |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
722 |
lifted counterparts. *) |
35990
5ceedb86aa9d
Automated lifting can be restricted to specific quotient types
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
35843
diff
changeset
|
723 |
fun get_ty_trm_substs qtys ctxt = |
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
724 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
725 |
val thy = ProofContext.theory_of ctxt |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
726 |
val quot_infos = Quotient_Info.quotdata_dest ctxt |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
727 |
val const_infos = Quotient_Info.qconsts_dest ctxt |
35990
5ceedb86aa9d
Automated lifting can be restricted to specific quotient types
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
35843
diff
changeset
|
728 |
val all_ty_substs = map (fn ri => (#rtyp ri, #qtyp ri)) quot_infos |
5ceedb86aa9d
Automated lifting can be restricted to specific quotient types
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
35843
diff
changeset
|
729 |
val ty_substs = |
5ceedb86aa9d
Automated lifting can be restricted to specific quotient types
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
35843
diff
changeset
|
730 |
if qtys = [] then all_ty_substs else |
36692
54b64d4ad524
farewell to old-style mem infixes -- type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents:
35990
diff
changeset
|
731 |
filter (fn (_, qty) => member (op =) qtys qty) all_ty_substs |
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
732 |
val const_substs = map (fn ci => (#rconst ci, #qconst ci)) const_infos |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
733 |
fun rel_eq rel = HOLogic.eq_const (subst_tys thy ty_substs (domain_type (fastype_of rel))) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
734 |
val rel_substs = map (fn ri => (#equiv_rel ri, rel_eq (#equiv_rel ri))) quot_infos |
35990
5ceedb86aa9d
Automated lifting can be restricted to specific quotient types
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
35843
diff
changeset
|
735 |
fun valid_trm_subst (rt, qt) = (subst_tys thy ty_substs (fastype_of rt) = fastype_of qt) |
5ceedb86aa9d
Automated lifting can be restricted to specific quotient types
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
35843
diff
changeset
|
736 |
val all_trm_substs = const_substs @ rel_substs |
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
737 |
in |
35990
5ceedb86aa9d
Automated lifting can be restricted to specific quotient types
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
35843
diff
changeset
|
738 |
(ty_substs, filter valid_trm_subst all_trm_substs) |
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
739 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
740 |
|
37532
8a9a34be09e0
slight cleaning and simplification of the automatic wrapper for quotient definitions
Christian Urban <urbanc@in.tum.de>
parents:
37530
diff
changeset
|
741 |
fun derive_qtyp qtys rty ctxt = |
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
742 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
743 |
val thy = ProofContext.theory_of ctxt |
37532
8a9a34be09e0
slight cleaning and simplification of the automatic wrapper for quotient definitions
Christian Urban <urbanc@in.tum.de>
parents:
37530
diff
changeset
|
744 |
val (ty_substs, _) = get_ty_trm_substs qtys ctxt |
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
745 |
in |
37532
8a9a34be09e0
slight cleaning and simplification of the automatic wrapper for quotient definitions
Christian Urban <urbanc@in.tum.de>
parents:
37530
diff
changeset
|
746 |
subst_tys thy ty_substs rty |
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
747 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
748 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
749 |
(* |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
750 |
Takes a term and |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
751 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
752 |
* replaces raw constants by the quotient constants |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
753 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
754 |
* replaces equivalence relations by equalities |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
755 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
756 |
* replaces raw types by the quotient types |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
757 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
758 |
*) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
759 |
|
35990
5ceedb86aa9d
Automated lifting can be restricted to specific quotient types
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
35843
diff
changeset
|
760 |
fun quotient_lift_all qtys ctxt t = |
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
761 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
762 |
val thy = ProofContext.theory_of ctxt |
35990
5ceedb86aa9d
Automated lifting can be restricted to specific quotient types
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
35843
diff
changeset
|
763 |
val (ty_substs, substs) = get_ty_trm_substs qtys ctxt |
35222
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
764 |
fun lift_aux t = |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
765 |
case subst_trms thy substs t of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
766 |
SOME x => x |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
767 |
| NONE => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
768 |
(case t of |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
769 |
a $ b => lift_aux a $ lift_aux b |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
770 |
| Abs(a, ty, s) => |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
771 |
let |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
772 |
val (y, s') = Term.dest_abs (a, ty, s) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
773 |
val nty = subst_tys thy ty_substs ty |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
774 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
775 |
Abs(y, nty, abstract_over (Free (y, nty), lift_aux s')) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
776 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
777 |
| Free(n, ty) => Free(n, subst_tys thy ty_substs ty) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
778 |
| Var(n, ty) => Var(n, subst_tys thy ty_substs ty) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
779 |
| Bound i => Bound i |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
780 |
| Const(s, ty) => Const(s, subst_tys thy ty_substs ty)) |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
781 |
in |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
782 |
lift_aux t |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
783 |
end |
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
784 |
|
4f1fba00f66d
Initial version of HOL quotient package.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents:
diff
changeset
|
785 |
end; (* structure *) |