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modal operator

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  • Modal operator — In modal logic, a modal operator is an operator which forms propositions from propositions. In general, a modal operator has the formal property of being non truth functional, and is intuitively characterised by expressing a modal attitude (such… …   Wikipedia

  • Modal depth — In modal logic, the modal depth of a formula is the deepest nesting of modal operators (commonly and ). Modal formulas without modal operators have a modal depth of zero. Definition Modal depth can be defined as follows. Let MD(ϕ) be a function… …   Wikipedia

  • Modal logic — is a type of formal logic that extends classical propositional and predicate logic to include operators expressing modality. Modals words that express modalities qualify a statement. For example, the statement John is happy might be qualified by… …   Wikipedia

  • Modal μ-calculus — In theoretical computer science, the modal μ calculus (also μ calculus, but this can have a more general meaning) is an extension of propositional modal logic (with many modalities) by adding a least fixpoint operator μ and a greatest fixpoint… …   Wikipedia

  • modal logic — Formal systems incorporating modalities such as necessity, possibility, impossibility, contingency, strict implication, and certain other closely related concepts. The most straightforward way of constructing a modal logic is to add to some… …   Universalium

  • Epistemic modal logic — is a subfield of modal logic that is concerned with reasoning about knowledge. While epistemology has a long philosophical tradition dating back to Ancient Greece, epistemic logic is a much more recent development with applications in many fields …   Wikipedia

  • Window operator — In modal logic, the window operator riangle is a modal operator with the following semantic definition:M,wmodels rianglephi iff forall u, M,umodelsphiRightarrow Rwufor M=(W,R,f) a model and w,uin W. Informally, it says that w sees every phi;… …   Wikipedia

  • Dynamic logic (modal logic) — For the subject in digital electronics also known as clocked logic, see dynamic logic (digital electronics). Dynamic logic is an extension of modal logic originally intended for reasoning about computer programs and later applied to more general… …   Wikipedia

  • Multi-Modal Transport System (Hyderabad) — Multi Modal Transport System Info Locale Hyderabad, India. Transit type Commuter rail …   Wikipedia

  • Interior algebra — In abstract algebra, an interior algebra is a certain type of algebraic structure that encodes the idea of the topological interior of a set. Interior algebras are to topology and the modal logic S4 what Boolean algebras are to set theory and… …   Wikipedia

  • applied logic — Introduction       the study of the practical art of right reasoning. The formalism (formal logic) and theoretical results of pure logic can be clothed with meanings derived from a variety of sources within philosophy as well as from other… …   Universalium

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