The main operator of the given statement is the dot (•) which represents the logical operator "AND".
The statement is a compound proposition consisting of two smaller propositions connected by the AND operator.
The first proposition is a negation (~) of another compound proposition enclosed in square brackets. The enclosed proposition consists of two simpler propositions connected by the OR operator. The first simpler proposition is a conditional statement (à) with "a" as its antecedent and "y" as its consequent. The second simpler proposition is a negation (~) of another conditional statement with "x" as its antecedent and "b" as its consequent.
The second proposition is also a compound proposition enclosed in square brackets. It consists of two simpler propositions connected by the OR operator. The first simpler proposition is a negation (~) of a conditional statement with "a" as its antecedent and "~x" as its consequent. The second simpler proposition is another conditional statement with "b" as its antecedent and "x" as its consequent.
Therefore, the entire statement can be read as:
"Not ((a implies y) or (not (x implies b))) AND ((not (a or not x)) or (b implies x))"
In other words, both conditions must be true for the entire statement to be true.