SyntaxChallenge

It's like figuring out order of mathematical operations but with no mathematical operations. Instead you are given description of operators' features like number of arguments, precedence or associativity. You don't have to check entire expression at once, you can do it partially. But be careful, don't run out of checks, otherwise you loss. Also, you can use hints: revealing one operator or adding additional checks.

Take the challenge and prove your logical deduction skills.