Standalone Pattern Set 4.s.13 in Connect 4
Connect 4 in 4 Moves
Deduction Path: Disc Omission on any Column Other than the Winning Indefensible Re of the Pset.
Indefensible: yes
The opponent cannot defend an indefensible pattern set assuming it is the opponents move. Thus just suppose the opponent is going to move on the concerned pset. If he moves on any re of the pset he actually transforms the pset to an equivalent or even faster win for the player. The latter makes this pset indefensible.
Number of Patterns: 2
Pattern List: re1ppp, re2ppp
Deduced From: re1ppp, re2ppp
Best Defence(s): different from all re's of the pattern list
After playing a best defence move on one of the forked pattern sets specified under deduced from pattern sets hereunder this forked pset is disabled and the other forked pset remains active, in case of a siding fork, or becomes active, in case of a sharing fork, providing its winning move. In case of playing a best defence move outside of both forked pset's, both forked pset's remain active providing their winning moves.
Deduced From Pattern Sets:
Pset 3.s.6 (re1ppp, re2ppp, Winning Move: re1 of re1ppp, Deduction Path: Disc Omission on Depth of Both Patterns)
Deduction Source for Pattern Sets:
Condition List:
- 11EmptyEqual: The rotatable empty (re) position of the first pattern of the concerned pset is on the same column as the re of the second pattern. In other words their re's must be sharing the same column, not be on different siding columns.
- AfterTwoMovesNoFasterWinForOpponent: After any of all the opponents best defensive move(s) and then the players subsequent winning move(s), as specified by the winning move property of the concerned deduced from pset, no pattern set (pset) of the opponent may exist on the board that implies a faster win for the opponent. For example for psets 4.x.y (connects 4 in 4 moves) no psets 1.v.w (connects 4 in 1 move) of the opponent may exist after all moves specified above.
Connect 4 Board Example List:
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