Possible worlds and many truth values

S. K. Thomason
<span title="">1978</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nzzezfqw65bhpbeksnoskjzuza" style="color: black;">Studia Logica: An International Journal for Symbolic Logic</a> </i> &nbsp;
This is an abstract of a paper submitted to Studia Logica. The results were presented at the 1977 Spring Meeting of the Association for Symbolic Logic. In many-valued modal logic, validity is defined with reference to frames, as in ordinary modal logic, except that valuations assign to each formula, at each possible world, not just T or F but a truth value from a fixed many-valued truth-functional logic. It is required that α be assigned a designated truth value at a possible world if and only
more &raquo; ... f is assigned designated values at all alternative worlds. Previous work has established the existence of analogues in certain many-valued modal logics of certain familiar systems of ordinary modal logic.
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