The file http://lambda.uta.edu/cse5317/calc/simple_calc.cup contains the CUP grammar for the calculator parser (without semantics actions). Notice the section that specifies the precedence and associativity of the terminals symbols:

precedence nonassoc ELSE; precedence right OR; precedence right AND; precedence nonassoc NOT; precedence left EQ, LT, GT, LE, GE, NE; precedence left PLUS, MINUS; precedence left TIMES, DIV;It lists the terminals in order of precedence, from lower to higher. Thus,

`TIMES`

and `DIV`

have the highest precedence. For
example, `1+3*4`

is equivalent to `1+(3*4)`

since
`TIMES`

has higher precedence than `PLUS`

. In addition, the
keywords left, right, and nonassoc indicate that the operators have
left, right, or no associativity at all, respectively. This means
that `1+2+3`

is equivalent to `(1+2)+3`

, while `(x and y and z)`

is equivalent to `(x and (y and z))`

. This list is
very important for helping CUP resolve shift-reduce conflicts. The
reason that we set `ELSE`

to the lowest precedence is to resolve
the infamous if-then-else conflict: It basically means that we always
shift in case of nested if-then-elses.
Another thing to notice is that, when there is a choice, left recursion is preferred from right recursion, such as in:

expl ::= expl COMMA exp | exp

2015-01-20