modal predicate calculus

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• Monadic predicate calculus — In logic, the monadic predicate calculus is the fragment of predicate calculus in which all predicate letters are monadic (that is, they take only one argument), and there are no function letters. All atomic formulae have the form P(x), where P… …   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

• Calculus (disambiguation) — Calculus is Latin for pebble, and has a number of meanings in English: In mathematics and computer science Calculus , in its most general sense, is any method or system of calculation. To modern theoreticians the answer to the question what is a… …   Wikipedia

• 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 logic — A logic studying the notions of necessity and possibility. Modal logic was of great importance historically, particularly in the light of various doctrines concerning the necessary properties of the deity, but was not a central topic of modern… …   Philosophy dictionary

• Predicate functor logic — In mathematical logic, predicate functor logic (PFL) is one of several ways to express first order logic (formerly known as predicate logic) by purely algebraic means, i.e., without quantified variables. PFL employs a small number of algebraic… …   Wikipedia

• Propositional calculus — In mathematical logic, a propositional calculus or logic (also called sentential calculus or sentential logic) is a formal system in which formulas of a formal language may be interpreted as representing propositions. A system of inference rules… …   Wikipedia

• 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

• 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

• Sequent calculus — In proof theory and mathematical logic, sequent calculus is a family of formal systems sharing a certain style of inference and certain formal properties. The first sequent calculi, systems LK and LJ, were introduced by Gerhard Gentzen in 1934 as …   Wikipedia

• formal logic — the branch of logic concerned exclusively with the principles of deductive reasoning and with the form rather than the content of propositions. [1855 60] * * * Introduction       the abstract study of propositions, statements, or assertively used …   Universalium