In modal logic, a regular modal logic is a modal logic containing (as axiom or theorem) the duality of the modal operators: ◊ A ↔ ¬ ◻ ¬ A {\displaystyle...

Modal logic is a kind of logic used to represent statements about necessity and possibility. In philosophy and related fields it is used as a tool for...

In logic, philosophy, and theoretical computer science, dynamic logic is an extension of modal logic capable of encoding properties of computer programs...

In logic, a normal modal logic is a set L of modal formulas such that L contains: All propositional tautologies; All instances of the Kripke schema: ◻...

In modal logic, a classical modal logic L is any modal logic containing (as axiom or theorem) the duality of the modal operators ◊ A ↔ ¬ ◻ ¬ A {\displaystyle...

sets Partition regularity Regular cardinal, a cardinal number that is equal to its cofinality Regular modal logic Regular conditional probability, a...

A non-normal modal logic is a variant of modal logic that deviates from the basic principles of normal modal logics. Normal modal logics adhere to the...

logic is a modal logic that has more than one primitive modal operator. They find substantial applications in theoretical computer science. A modal logic...

topology and the modal logic S4 what Boolean algebras are to set theory and ordinary propositional logic. Interior algebras form a variety of modal algebras....

of logic that studies the application of logical methods to philosophical problems, often in the form of extended logical systems like modal logic. But...

knowable. Another example is the translation of modal logic to regular predicate logic. Modal logic contains additional symbols for possibility ( ⋄ {\displaystyle...

(developed by Saul Kripke and others for modal logic and related systems), algebraic semantics (connecting logic to abstract algebra), and game semantics...

satisfiability of finite sets of formulas of various logics. It is the most popular proof procedure for modal logics. A method of truth trees contains a fixed set...

A modal verb is a type of verb that contextually indicates a modality such as a likelihood, ability, permission, request, capacity, suggestion, order...

Logic. Routledge. p. 124. ISBN 978-0-415-16696-6. Norman Swartz, The Modal Fallacy Melvin Fitting; Richard L. Mendelsohn (1998). First-order modal logic...

example, infinitary logics permit formulas of infinite size, and modal logics add symbols for possibility and necessity. First-order logic can be studied in...

the set of beliefs of c {\displaystyle c} . In doxastic logic, belief is treated as a modal operator. There is complete parallelism between a person...

Many-valued logic (also multi- or multiple-valued logic) is a propositional calculus in which there are more than two truth values. Traditionally, in...

Linear temporal logic; a modal temporal logic with modalities referring to time. MCL: Model Checking Language; Alternation-Free Modal μ-calculus extended...

Quantum logic embeds into linear logic and the modal logic B. Indeed, modern logics for the analysis of quantum computation often begin with quantum logic, and...

branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. Sometimes...

{\Box p}{p}}} is admissible in many modal logics, such as K, D, K4, S4, GL (see this table for names of modal logics). It is derivable in S4, but it is...

contradiction. Extended modal realism understands modality as a dimension similar to space and time. In this sense, a regular object, like a tree or a...

Modal realism is the view propounded by the philosopher David Lewis that all possible worlds are real in the same way as is the actual world: they are...

generalizes to much richer models of computation, and is itself related to modal logic by a natural extension of the Curry–Howard isomorphism). A more radical...

In term logic (a branch of philosophical logic), the square of opposition is a diagram representing the relations between the four basic categorical propositions...

including as a model of traditional logic, quantifications, modal logic, order theory, or paraconsistent logic. For instance, the statement A may be...

Addison-Wesley. ISBN 0-321-22862-6. Bradfield, Julian; Stirling, Colin (2001). "Modal Logics and mu-Calculi: An Introduction". Handbook of Process Algebra. Elsevier...

Luca de Alfaro, Thomas A. Henzinger, "Concurrent Omega-Regular Games" Hiroshi Nakano, "A Modality for Recursion" Aaron Stump;, Clark W. Barrett, David L...

implication operations of the former to the latter. Unlike dynamic logic and other modal logics of programs, for which programs and propositions form two distinct...