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Diffstat (limited to 'lib/dnet.mli')
-rw-r--r-- | lib/dnet.mli | 128 |
1 files changed, 128 insertions, 0 deletions
diff --git a/lib/dnet.mli b/lib/dnet.mli new file mode 100644 index 00000000..61998d63 --- /dev/null +++ b/lib/dnet.mli @@ -0,0 +1,128 @@ +(************************************************************************) +(* v * The Coq Proof Assistant / The Coq Development Team *) +(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *) +(* \VV/ **************************************************************) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(************************************************************************) + +(* $Id:$ *) + +(* Generic discrimination net implementation over recursive + types. This module implements a association data structure similar + to tries but working on any types (not just lists). It is a term + indexing datastructure, a generalization of the discrimination nets + described for example in W.W.McCune, 1992, related also to + generalized tries [Hinze, 2000]. + + You can add pairs of (term,identifier) into a dnet, where the + identifier is *unique*, and search terms in a dnet filtering a + given pattern (retrievial of instances). It returns all identifiers + associated with terms matching the pattern. It also works the other + way around : You provide a set of patterns and a term, and it + returns all patterns which the term matches (retrievial of + generalizations). That's why you provide *patterns* everywhere. + + Warning 1: Full unification doesn't work as for now. Make sure the + set of metavariables in the structure and in the queries are + distincts, or you'll get unexpected behaviours. + + Warning 2: This structure is perfect, i.e. the set of candidates + returned is equal to the set of solutions. Beware of DeBruijn + shifts and sorts subtyping though (which makes the comparison not + symmetric, see term_dnet.ml). + + The complexity of the search is (almost) the depth of the term. + + To use it, you have to provide a module (Datatype) with the datatype + parametrized on the recursive argument. example: + + type btree = type 'a btree0 = + | Leaf ===> | Leaf + | Node of btree * btree | Node of 'a * 'a + +*) + +(* datatype you want to build a dnet on *) +module type Datatype = +sig + (* parametric datatype. ['a] is morally the recursive argument *) + type 'a t + + (* non-recursive mapping of subterms *) + val map : ('a -> 'b) -> 'a t -> 'b t + val map2 : ('a -> 'b -> 'c) -> 'a t -> 'b t -> 'c t + + (* non-recursive folding of subterms *) + val fold : ('a -> 'b -> 'a) -> 'a -> 'b t -> 'a + val fold2 : ('a -> 'b -> 'c -> 'a) -> 'a -> 'b t -> 'c t -> 'a + + (* comparison of constructors *) + val compare : unit t -> unit t -> int + + (* for each constructor, is it not-parametric on 'a? *) + val terminal : 'a t -> bool + + (* [choose f w] applies f on ONE of the subterms of w *) + val choose : ('a -> 'b) -> 'a t -> 'b +end + +module type S = +sig + type t + + (* provided identifier type *) + type ident + + (* provided metavariable type *) + type meta + + (* provided parametrized datastructure *) + type 'a structure + + (* returned sets of solutions *) + module Idset : Set.S with type elt=ident + + (* a pattern is a term where each node can be a unification + variable *) + type 'a pattern = + | Term of 'a + | Meta of meta + + type term_pattern = 'a structure pattern as 'a + + val empty : t + + (* [add t w i] adds a new association (w,i) in t. *) + val add : t -> term_pattern -> ident -> t + + (* [find_all t] returns all identifiers contained in t. *) + val find_all : t -> Idset.t + + (* [fold_pattern f acc p dn] folds f on each meta of p, passing the + meta and the sub-dnet under it. The result includes: + - Some set if identifiers were gathered on the leafs of the term + - None if the pattern contains no leaf (only Metas at the leafs). + *) + val fold_pattern : + ('a -> (Idset.t * meta * t) -> 'a) -> 'a -> term_pattern -> t -> Idset.t option * 'a + + (* [find_match p t] returns identifiers of all terms matching p in + t. *) + val find_match : term_pattern -> t -> Idset.t + + (* set operations on dnets *) + val inter : t -> t -> t + val union : t -> t -> t + + (* apply a function on each identifier and node of terms in a dnet *) + val map : (ident -> ident) -> (unit structure -> unit structure) -> t -> t +end + +module Make : + functor (T:Datatype) -> + functor (Ident:Set.OrderedType) -> + functor (Meta:Set.OrderedType) -> + S with type ident = Ident.t + and type meta = Meta.t + and type 'a structure = 'a T.t |