Disambiguation of expressions with neighboring operators of different associativity and same precedence

和自甴很熟 提交于 2019-12-06 11:54:31

According to the Edsgar Dijkstra's Shunting-yard algorithm if neighboring two operators in an expressions have the same precedence level then the expression is disambiguated based on the associativity of the second operator.

  1. If the second operator is left associative then the operand belongs to the first operator.
  2. If the second operator is right associative then the operand belongs to the second operator.

Case 1: is left associative. The expression evaluates to:

(x ⨁ y) ⨂ z

Case 2: is right associative. The expression evaluates to:

x ⨁ (y ⨂ z)
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