Monotonicity of entailment information

Monotonicity of entailment is a property of many logical systems such that if a sentence follows deductively from a given set of sentences then it also...

polygon, a property of a geometric object Monotonic function, a property of a mathematical function Monotonicity of entailment, a property of some logical systems...

Both students who saw anything reported to the Dean. Entailment (pragmatics) Monotonicity of entailment Polarity item Veridicality Ladusaw, William (1980)...

properties: Law of excluded middle and double negation elimination Law of noncontradiction, and the principle of explosion Monotonicity of entailment and idempotency...

Known as monotonicity of entailment in classical logic. Contraction, where two equal (or unifiable) members on the same side of a sequent may be replaced...

substructural logics, such as linear logic. Rule of weakening (or monotonicity of entailment) (aka no-cloning theorem) α ⊢ β {\displaystyle \alpha \vdash \beta...

of classical logics: Law of the excluded middle Double negation elimination Law of noncontradiction Principle of explosion Monotonicity of entailment...

Logical consequence (also entailment) is a fundamental concept in logic which describes the relationship between statements that hold true when one statement...

Preferential entailment is a non-monotonic logic based on selecting only models that are considered the most plausible. The plausibility of models is expressed...

extensions. Entailment of a formula from a default theory can be defined in two ways: Skeptical a formula is entailed by a default theory if it is entailed by...

explanation Deductive reasoning – Form of reasoning Inductive reasoning – Method of logical reasoning Entailment – Relationship between statements that...

exclusivity as a bona fide semantic entailment and proposed nonclassical logics which would validate it. This behavior of English "or" is also found in other...

use to win rounds when the rest of their team are less experienced or less efficient at completing tasks; this may entail taking on enemy combatants alone...

denote syntactic entailment or provability, indicating that the statement or set of statements to the right is a logical consequence of the statements to...

to low-level interaction details. A modeless interface, monotony of design and elimination of blocking warnings are all intended to favor habit-forming...

notably monotonicity. In the classical relational framework, when using a standard notion of entailment, the strict conditional is monotonic, i.e. it...

extension to logical entailment, such as Markov logic networks, and those that attempt to address the problems of uncertainty and lack of evidence (evidentiary...

whose notions of validity and entailment line up perfectly. Systems of logic are theoretical frameworks for assessing the correctness of reasoning and...

b)\equiv (a\lor c))} Idempotency: a ∨ a ≡ a {\displaystyle a\lor a\equiv a} Monotonicity: ( a → b ) → ( ( c ∨ a ) → ( c ∨ b ) ) {\displaystyle (a\rightarrow b)\rightarrow...

is non-monotonic. The AGM postulates can be translated into a set of postulates for this inference relation. Each of these postulates is entailed by some...

the conjunction of its propositions, the succedent as the disjunction of its propositions, and the sequent itself as the entailment of the succedent by...

context of artificial general intelligence, as a counterpoint to the use of non-monotonic logic, as the proper form for knowledge representation remains unclear...

entailing) if, for every pair of sets X and Y, the following holds: If X ⊆ Y {\displaystyle X\subseteq Y} , then GQ(Y) entails GQ(X). An example of a...

logic program that entails all positive and no negative examples. Inductive programming is a related field that considers any kind of programming language...

or adjoints of each other, and likewise for •x and /x. This last definition is purely in terms of inequalities, noting that monotonicity can be axiomatized...

reasoning yields monotonicity of  f∗. Thus monotonicity does not have to be included in the definition explicitly. However, mentioning monotonicity helps to avoid...