First-order logic—also called predicate logic, predicate calculus, quantificational logic—is a collection of formal systems used in mathematics, philosophy...
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In logic and mathematics, second-order logic is an extension of first-order logic, which itself is an extension of propositional logic. Second-order logic...
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In mathematics and logic, a higher-order logic (abbreviated HOL) is a form of logic that is distinguished from first-order logic by additional quantifiers...
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Propositional calculus (redirect from Zeroth order logic)
branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. It deals...
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Extensions of First Order Logic is a book on mathematical logic. It was written by María Manzano, and published in 1996 by the Cambridge University Press...
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and first-order logic. The sentences that are made true by a particular assignment are said to be satisfied by that assignment. In classical logic, no...
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In mathematical logic, the compactness theorem states that a set of first-order sentences has a model if and only if every finite subset of it has a model...
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Monadic predicate calculus (redirect from Monadic first-order logic of order)
In logic, the monadic predicate calculus (also called monadic first-order logic) is the fragment of first-order logic in which all relation symbols[clarification...
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the translation of the English sentence "some men are bald" into first-order logic as ∃ x ( M ( x ) ∧ B ( x ) ) {\displaystyle \exists x(M(x)\land B(x))}...
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mathematical logic, a theory (also called a formal theory) is a set of sentences in a formal language. In most scenarios a deductive system is first understood...
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between "tautology" and "logically valid" in the context of first-order logic (). Propositional logic begins with propositional variables, atomic units that...
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of logics in contrast to one universally true logic. These logics can be divided into classical logic, usually identified with first-order logic, extended...
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Logic programming is a programming, database and knowledge representation paradigm based on formal logic. A logic program is a set of sentences in logical...
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In logic, a predicate is a symbol that represents a property or a relation. For instance, in the first-order formula P ( a ) {\displaystyle P(a)} , the...
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contains logic symbols. Without proper rendering support, you may see question marks, boxes, or other symbols instead of logic symbols. In logic, a set...
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classical logics such as second-order logic or infinitary logic are also studied, along with Non-classical logics such as intuitionistic logic. First-order logic...
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propositional logic and first-order logic. Propositional logic only considers logical relations between full propositions. First-order logic also takes the...
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answer. Zeroth-order logic (propositional logic) is decidable, whereas first-order and higher-order logic are not. Logical systems are decidable if membership...
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In mathematical logic, a term denotes a mathematical object while a formula denotes a mathematical fact. In particular, terms appear as components of...
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second order logic or higher order logics. Quantifiers have been generalized beginning with the work of Mostowski and Lindström. In a first-order logic statement...
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self-reference", as in first-order logic and other logic uses, where it is contrasted with "allowing some self-reference" (higher-order logic) In detail, it may...
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specifically propositional and first-order logic, as opposed to the other forms of classical logic. Most semantics of classical logic are bivalent, meaning all...
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Consistency (redirect from Consistency (Mathematical Logic))
formal system (e.g., classical or intuitionistic propositional or first-order logics) every inconsistent theory is trivial.: 7 Consistency of a theory...
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theorem-proving technique for sentences in propositional logic and first-order logic. For propositional logic, systematically applying the resolution rule acts...
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In first-order logic, a first-order theory is given by a set of axioms in some language. This entry lists some of the more common examples used in model...
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three main directions: a graphical interface for first-order logic, a diagrammatic calculus of logics, and a graph-based knowledge representation and reasoning...
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view, structures are the objects used to define the semantics of first-order logic, cf. also Tarski's theory of truth or Tarskian semantics. For a given...
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more expressive than propositional logic but less expressive than first-order logic. In contrast to the latter, the core reasoning problems for DLs are...
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In mathematical logic and philosophy, Skolem's paradox is the seeming contradiction that a first-order model of set theory could prove the existence of...
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Automated theorem proving (redirect from First-order theorem provers)
theoretically, completeness for first-order logic. Initial approaches relied on the results of Herbrand and Skolem to convert a first-order formula into successively...
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