Z3(Py)中的数组可以有多大的表达能力？一个例子。

Z3是一个强大的定理证明器，可以被用来处理特定的实用问题。Z3提供了一个丰富的公式语言，使其适用于各种实用情况。其中包括对于数组的支持。数组在Z3中表示为函数，可以使用任意排序以及数据类型，支持下标的读写。例如，我们可以用数组表示棋盘上的位置以及状态。下面是一个具体的示例：

from z3 import *

# Create the solver
solver = Solver()

# Define the array and its index
board = Array('board', IntSort(), BoolSort())
x = Int('x')
y = Int('y')

# Add some constraints
# The checkers in the first row are red 
for i in range(8):
    solver.add(board[(i,0)] == True)

# The checkers in the last row are black
for i in range(8):
    solver.add(board[(i,7)] == True)

# Piece to be moved is at position (x, y)
# It can move to any adjacent unoccupied square
options = []
for i in [-1, 1]:
    for j in [-1, 1]:
        options.append((x+i, y+j))
for o in options:
    solver.add(board[o] == False)

# There can be no more than 2 checkers in a row
for i in range(8):
    for j in range(6):
        solver.add(Implies(And(board[(i,j)] == True, 
                               board[(i, j+1)] == True, 
                               board[(i, j+2)] == True), 
                          False))

# Find a solution to the puzzle
if solver.check() == sat:
    m = solver.model()
    for i in range(8):
        row = ""
        for j in range(8):
            if m[board[(i,j)]]:
                row += "X"
            else:
                row += "."
        print(row)
else:
    print("Failed to find a solution")

该示例