PSEUDOADDITIVE STATES ON A LOGIC

We propose an extension of the notion of a state on a logic to a pseud oadditive state on a logic replacing the ordinary addition by a pseudo addition. As a special class we underline the possibility states based on the operation of supremum. For a Boolean algebra B and a logic L, we study the extension of the pseudoadditive states on B and L to a ps eudoadditive state on their Ptak sum B + L.