The connectives from the language model are logically true ( indicated by the " L " modal operator ) and connective added at the knowledge elicitation stage are possibility true ( indicated by the " M " modal operator ).
32.
The connectives from the language model are logically true ( indicated by the " L " modal operator ) and connective added at the knowledge elicitation stage are possibility true ( indicated by the " M " modal operator ).
33.
*"'Logic ILM "': The language of ILM extends that of classical propositional logic by adding the unary modal operator \ Box and the binary modal operator \ triangleright ( as always, \ Diamond p is defined as \ neg \ Box \ neg p ).
34.
*"'Logic ILM "': The language of ILM extends that of classical propositional logic by adding the unary modal operator \ Box and the binary modal operator \ triangleright ( as always, \ Diamond p is defined as \ neg \ Box \ neg p ).
35.
Just as the subscript after \ mathit { K } can be omitted when there is only one agent, the subscript after the modal operators \ mathit { E }, \ mathit { C }, and \ mathit { D } can be omitted when the group is the set of all agents.
36.
He gave lectures on the topic at the University of Oxford in 1955-6, and in 1957 published a book, " Time and Modality ", in which he introduced a propositional modal logic with two temporal connectives ( modal operators ), F and P, corresponding to " sometime in the future " and " sometime in the past ".
37.
This also reflects the relationship between the monadic logic of quantification ( for which monadic Boolean algebras provide an algebraic description ) and "'S5 "'where the modal operators ?% ( "'necessarily "') and ?% ( "'possibly "') can be interpreted in the Kripke semantics using monadic universal and existential quantification, respectively, without reference to an accessibility relation.
38.
Similarly Alan R . Anderson ( 1959 ) shows how to define O in terms of the alethic operator \ Box and a deontic constant ( i . e . 0-ary modal operator ) s standing for some sanction ( i . e . bad thing, prohibition, etc . ) : OA \ equiv \ Box ( \ lnot A \ to s ).
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