A model-theoretic semantics for modal logic.
نویسندگان
چکیده
منابع مشابه
A Model-Theoretic Semantics for Defeasible Logic
Defeasible logic is an efficient logic for defeasible reasoning. It is defined through a proof theory and, until now, has had no model theory. In this paper a model-theoretic semantics is given for defeasible logic. The logic is sound and complete with respect to the semantics. We also briefly outline how this approach extends to a wide range of defeasible logics.
متن کاملA General Semantics for Quantified Modal Logic
In [9] we developed a semantics for quantified relevant logic that uses general frames. In this paper, we adapt that model theory to treat quantified modal logics, giving a complete semantics to the quantified extensions, both with and without the Barcan formula, of every propositional modal logic S. If S is canonical our models are based on propositional frames that validate S. We employ frame...
متن کاملA New Semantics for Positive Modal Logic
The paper provides a new semantics for positive modal logic using Kripke frames having a quasi ordering ≤ on the set of possible worlds and an accessibility relation R connected to the quasi ordering by the conditions (1) that the composition of ≤ with R is included in the composition of R with ≤ and (2) the analogous for the inverse of ≤ and R. This semantics has an advantage over the one used...
متن کاملGeneral Model Theoretic Semantics for Higher-Order Horn Logic Programming
We introduce model-theoretic semantics [6] for Higher-Order Horn logic programming language. One advantage of logic programs over conventional non-logic programs has been that the least fixpoint is equal to the least model, therefore it is associated to logical consequence and has a meaningful declarative interpretation. In simple theory of types [9] on which Higher-Order Horn logic programming...
متن کاملTopos Semantics for Higher-Order Modal Logic
We define the notion of a model of higher-order modal logic in an arbitrary elementary topos E . In contrast to the wellknown interpretation of (non-modal) higher-order logic, the type of propositions is not interpreted by the subobject classifier ΩE , but rather by a suitable complete Heyting algebra H . The canonical map relating H and ΩE both serves to interpret equality and provides a modal...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1976
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093887643