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New Minor Forcing

New Minor Forcing (often abbreviated NMF), is a convention in which responder's bid of a previously unbid minor over a no trump rebid by opener (generally 1NT) is artificial and often used when looking for three-card support for a five-card major. It shows an unlimited hand with at least invitational values (about 11HCP) and can be used on hands anywhere from inviting game to slam going; it is a forcing bid which asks partner for further information on his shape and strength.

Source of above explanation: Wikipedia contributors. "New minor forcing." Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, 17 Jan. 2012. Web. 9 Apr. 2013.

See below for explanation from The Encyclopedia of Bridge.

After opener’s rebid of 1NT, responder often finds it useful to have available a low-level forcing bid, either to inquire about opener’s support for responder’s suit or to make responder’s description of his own hand flexible.... The most popular modern method is the use of the unbid minor suit as responder’s forcing call. When the opening bid was 1♣, this approach allows responder to sign off in his
partner’s suit.

Suppose the auction is:

            West         East
             1♣            1
             1NT           2 

2 is artificial and forcing. The meaning of West’s third bid may depend on partnership agreement. One possible scheme:

2 = minimum with three hearts.
2♠ = minimum with fewer than three hearts, natural if the 1NT rebid may have concealed a four card spade suit.
2NT = maximum, fewer than three hearts.
3♣ = natural, five-card suit.
3 = maximum with clubs and diamonds, fewer than three hearts.
3 = maximum with three hearts.

After a 1♠ response:

            West         East
             1            1♠
             1NT           2♣

2 = natural, five-card suit.
2 = natural, four-card suit.
2♠ = minimum with three spades. Does not deny a four-card heart suit (partnership agreement necessary).
2NT = fewer than three spades, no other attractive rebid.
3♣ = maximum with diamonds and clubs, fewer than three spades. 
3 = natural, maximum.
3♠ = maximum with three spades.

Many pairs use the bid of the other minor on invitational hands. Others use it to create a game force, and then all second-round jumps by responder are invitational, not forcing.

In the auction 1– 1♠; 1NT – 3, responder probably has a five-card suit. 

SOURCE: "Conventions", The Official ACBL Encyclopedia of Bridge, 7th ed. Horn Lake: American Contract Bridge League, Inc., 2011, page 307. Print