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

statements which are true in all models are provable. Although the logical consequence relation is only semidecidable, much progress has been made in automated...

thought of as providing accounts of the nature of logical truth, as well as logical consequence. Logical truths are generally considered to be necessarily...

definition, this approach to logical connectives permits the examination of structurally identical propositional forms in various logical systems, where somewhat...

logically equivalent if they have the same truth value in every model. The logical equivalence of p {\displaystyle p} and q {\displaystyle q} is sometimes...

pointing out that his definition of logical consequence depends upon a division of terms into the logical and the extra-logical and he expresses some skepticism...

deductive argument is usually referred to as "logical consequence". According to Alfred Tarski, logical consequence has 3 essential features: it is necessary...

with the deductive nature of the system. The logical consequence (or entailment) of the system by its logical foundation is what distinguishes a formal system...

mathematics, the logical biconditional, also known as material biconditional or equivalence or biimplication or bientailment, is the logical connective used...

\wedge } ) is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as ∧ {\displaystyle...