Sentence examples for modal logic to from inspiring English sources

A highly influential paper by Martin Davies and Lloyd Humberstone (1980) brought the formal tools developed in 2D modal logic to bear on philosophical puzzles about modality.

Gödel's use of modal logic to describe provability, gave the first exact semantics of modality.

Let's use modal logic to explore the limits of knowledge.

The applications of modal logic to mathematics and computer science have become increasingly important.

There are many other applications of modal logic to reasoning about programs.

Or she might use modal logic to defend a particular theory of knowledge.

In this paper, we use correspondence theory for modal logics to solve a problem not addressed yet in the literature, namely the soundness and completeness of a logic combining two different, yet related modalities: agents' knowledge and commitments.

They developed new logics (like non-monotonic logics and modal logics) to try to solve the problems.

The most straightforward way of constructing a modal logic is to add to some standard nonmodal logical system a new primitive operator intended to represent one of the modalities, to define other modal operators in terms of it, and to add axioms or transformation rules involving those modal operators.

There are analogies here both to modal logic and to languages with an explicit truth predicate.

The most general way to formulate quantified modal logic is to create FS by adding the rules of FL to a given propositional modal logic S. In situations where classical quantification is desired, one may simply add Et as an axiom to FS, so that the classical principles become derivable rules.