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signature FinalNet = sig type 'a net type term val empty : 'a net val insert : term * 'a -> 'a net -> 'a net val match : term -> 'a net -> 'a list val index : term -> 'a net -> 'a list val delete : term * ('a -> bool) -> 'a net -> 'a net val filter : ('a -> bool) -> 'a net -> 'a net val union : 'a net -> 'a net -> 'a net val map : ('a -> 'b) -> 'a net -> 'b net val itnet : ('a -> 'b -> 'b) -> 'a net -> 'b -> 'b val size : 'a net -> int val listItems : 'a net -> 'a list val enter : term * 'a -> 'a net -> 'a net (* for compatibility *) val lookup : term -> 'a net -> 'a list (* for compatibility *) (*--------------------------------------------------------------------------- A term net is a collection of items, each of which can be thought of as being indexed by a path which is computed from a term which is supplied when the item is inserted into the net. Type information, and the names of variables, is not represented in paths, so more than one term may be indexed by the same path, i.e., the extraction operations are not exact. In this sense, term nets are akin to hash tables. [empty] is the empty term net. [insert(tm, x) net] The term tm is used as a key to compute a path at which to store x in net. If the path does not already exist in net, it is created. Note that insert merely adds x to the net; if x has already been stored under tm, then it is not overwritten. [matchtm net] Term nets can be used to cut down on the number of match attempts that a matching function would have to make, say when rewriting with a collection of theorems. "match tm net" will return every element that has been inserted into the net using a term M as the key, such that M possibly matches tm. The matches are returned in "most specific match first" order. [indextm net] An alternative use of term nets ignores any paths in the net arising from clearly non-alpha-convertible terms. "index" is a more discriminating entrypoint than "match", in the sense that the set of results is always a subset of those returned for matches. [delete(tm,P) net] uses tm as an index into the net. There can be more than one element indexable by tm. The net resulting from removing all such elements that also meet the predicate P is returned. [filterP net] The net resulting from removing all elements meeting P is returned. [unionnet1 net2] joins net1 and net2. Looking up or fetching an element from the result should return the union of the results of separately fetching or looking up in net1 and net2. [mapf net] returns a new net, each element of which has had f applied to it. [itnetf net b] folds function f through net, with base value b. [sizenet] returns the number of elements in the net. [listItemsnet] lists the elements in the net, in no particular order. [enter(tm,x) net] An outdated version of insert, kept for compatibility. [lookuptm net] An outdated version of match, kept for compatibility. ---------------------------------------------------------------------------*) end;

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