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Logic Chess
Logic Chess Setup
Initial Setup
Vital statistics
Players 2
Ranks 10
Files 8
Levels 1
Total squares 80
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Logic Chess is the fifteenth chess variant created, and is midway between a pure chess variant and a chess variant modifier. In other words, a Logic Shogi or a Logic Xiang Qi can be easily made, but not without modifications to the FIDE variant.

BoardEdit

This is an eight by ten board with the short sides facing the player. A textual setup with letter pieces are shown below.

   ╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
9  ║ o │▓a▓│ x │▓v▓│ g │▓x▓│ a │▓o▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
8  ║▓r▓│ n │▓b▓│ q │▓k▓│ b │▓n▓│ r ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
7  ║ p │▓p▓│ p │▓p▓│ p │▓p▓│ p │▓p▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
6  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
5  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
4  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
3  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
2  ║▓P▓│ P │▓P▓│ P │▓P▓│ P │▓P▓│ P ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
1  ║ R │▓N▓│ B │▓Q▓│ K │▓B▓│ N │▓R▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
0  ║▓O▓│ A │▓X▓│ V │▓G▓│ X │▓A▓│ O ║
   ╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝
     a   b   c   d   e   f   g   h
Piece setup
White
Black
  1. King: e1
  2. Queen: d1
  3. Bishop: c1, f1
  4. Knight: b1, g1
  5. Rook: a1, h1
  6. Guard: e0
  7. Viceroy: d0
  8. XOR: c0, f0
  9. AND: b0, g0
  10. OR: a0, h0
  11. Pawn: a2, b2, c2, d2, e2, f2, g2, h2
  1. King: e8
  2. Queen: d8
  3. Bishop: c8, f8
  4. Knight: b8, g8
  5. Rook: a8, h8
  6. Guard: e9
  7. Viceroy: d9
  8. XOR: c9, f9
  9. AND: b9, g9
  10. OR: a9, h9
  11. Pawn: a7, b7, c7, d7, e7, f7, g7, h7

Words in gold indicate a royal piece. · View Template Page


The FIDE board in the middle retains its regular square notations, with the new pieces inserted at ranks 9 and 0.

PiecesEdit

The King, Queen, Rook, Bishop and Knight are all exactly the same from FIDE. The Pawn is almost identical, but it need not promote at the eighth rank; it may choose to move to the ninth and promote there.

GuardEdit

The Guard is a simple chess piece, able to move like a King or a Knight. This piece is also called the Centaur.

The ViceroyEdit

The Viceroy is another simple chess piece, able to move like a Knight and a Ferz. These two pieces are so that the Knight moves don't get drowned out.

The Logic Pieces: GeneralEdit

The Logic pieces have only two moves of their own: that of a Zero (hop on the square once, is the same as passing a turn) and, if there are no pieces to detect, that of a Yawn (one square diagonally forward or one square orthogonally back, like a Y shape). To make itself more powerful, the Logic Pieces must use neighboring pieces to help.

Logic Piece Range

Figure 1: The detection range of a Logic piece.

If any piece is within one square's reach of a Logic piece (the blue squares), then the piece's moves are counted in calculations. If there are no pieces within one square's reach however, it may attempt to find any piece within two square's reach of itself (red squares). Only if there are no pieces in the blue area will the pieces in the red area be considered.

Please note that all default moves of the logic pieces are replaced by any moves that it gains through its move acquisition logic.

The AND pieceEdit

The AND piece can either zero or take all pieces and create a piecewise AND with it. This means it only has moves that all adjacent pieces have. In other words, it may only make a move if all pieces adjacent to it can make the same move. The piece image is a disk with a × in it, because it is similar to the multiplication operation (as long as any one of the products is 0, the result is 0.)

Consider the following situations:

   ╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗     ╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
9  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║  9  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
8  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║  8  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
7  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║  7  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
6  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║  6  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
5  ║   │▓▓▓│ p │▓▓▓│ A │▓b▓│   │▓▓▓║  5  ║   │▓▓▓│ p │▓▓▓│ A │▓q▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
4  ║▓▓▓│   │▓▓▓│   │▓R▓│   │▓▓▓│   ║  4  ║▓▓▓│   │▓▓▓│   │▓R▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
3  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║  3  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
2  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║  2  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
1  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║  1  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
0  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║  0  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝     ╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝
     a   b   c   d   e   f   g   h         a   b   c   d   e   f   g   h  
              Position A                            Position B            

   ╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
9  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
8  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
7  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
6  ║▓▓▓│   │▓▓▓│ Q │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
5  ║   │▓▓▓│   │▓▓▓│ A │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
4  ║▓▓▓│   │▓▓▓│   │▓R▓│ p │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
3  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
2  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
1  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
0  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝
     a   b   c   d   e   f   g   h  
              Position C

In position A, the AND cannot move, because a rook and a bishop have no moves in common. Notice that the Betza notations for the rook and bishops have no letters in common: WW* versus FF*.

In position B, the AND can move like a Rook. The Betza notation for the Queen is WWFF*; when combined with the Rook's WW* the letters WW* appear in both, thus the move for the AND is derived.

In position C, the AND's only move is to move without capturing to e6. Notice that all three pieces can move without capturing one square forward, once without affecting their relative positions. This means the AND piece can only move one square forward, to e6. This example shows that the definition of "forward" is always relative to the AND, and not any Pawns coming the other way.


The OR pieceEdit

The OR piece is very similar to the AND piece. It may make any move that the pieces adjacent to it can. This is similar to the + operation, thus a symbol of a disk with a + is used for this piece.

Consider the situations above again, but with the AND piece replaced with an OR piece.

   ╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗     ╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
9  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║  9  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
8  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║  8  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
7  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║  7  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
6  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║  6  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
5  ║   │▓▓▓│ p │▓▓▓│ O │▓b▓│   │▓▓▓║  5  ║   │▓▓▓│ p │▓▓▓│ O │▓q▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
4  ║▓▓▓│   │▓▓▓│   │▓R▓│   │▓▓▓│   ║  4  ║▓▓▓│   │▓▓▓│   │▓R▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
3  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║  3  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
2  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║  2  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
1  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║  1  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢     ╟───┼───┼───┼───┼───┼───┼───┼───╢
0  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║  0  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝     ╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝
     a   b   c   d   e   f   g   h         a   b   c   d   e   f   g   h  
              Position D                            Position E            

   ╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
9  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
8  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
7  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
6  ║▓▓▓│   │▓▓▓│ G │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
5  ║   │▓▓▓│   │▓▓▓│ O │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
4  ║▓▓▓│   │▓▓▓│   │▓R▓│ p │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
3  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
2  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
1  ║   │▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓║
   ╟───┼───┼───┼───┼───┼───┼───┼───╢
0  ║▓▓▓│   │▓▓▓│   │▓▓▓│   │▓▓▓│   ║
   ╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝
     a   b   c   d   e   f   g   h  
              Position F

In position D, the two pieces WW* and FF* are combined by the OR piece to make WWFF*. Thus, in this position it may move like a Queen. Similarly, in position E, the pieces' Betza notations combine to make WWFF* + WW* = WWFF*. This means that the Rook can move away from the OR piece and still not have lost any moves. In position F, though, the three moves add up to WFN* + mfWcfF* + WW* = FWWN*, which is a Dragon King plus a Horse (or a Chancellor plus a Ferz).

Notice that when piece powers overlap, that's it; there's nothing to stop the move from being lost.

The XOR pieceEdit

The XOR piece is much like the OR piece, except it may not make a move that two or more of its neighbors share. In other words, it only moves in a way that one and only one of its neighbors has.

Yet again, let's have an XOR on e4, a Pawn on f5, a Rook on d4. The XOR can move like a Rook and it may capture diagonally forward, but it may not move orthogonally forward; it must to get to e5.

RulesEdit

All rules as in Rule Zero, except when overridden by the following rules:

  1. There are no overriding rules.

NotesEdit

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