Sentence examples for logical equivalence from inspiring English sources

According to Left Logical Equivalence, classically equivalent formulas have the same non-monotonic consequences.

The key theses of Williamson's counterfactual theory are: Logical Equivalence: metaphysical possibility and necessity can be proven to be logically equivalent to counterfactual conditionals.

Tarski (1923) noted that in the context of higher-order logic, one can define propositional connectives in terms of logical equivalence and quantifiers.

Given a control architecture and the functional specification of each controller module, formal proofs are established and discharged to demonstrate the logical equivalence between the functional specification and the code implementation of logic controllers.

DANIEL ROTHSCHILD Presupposition Projection and Logical Equivalence.

Our approach is based on a generalisation of logical equivalence that is called model-theoretic inseparability.

Note that the conditions above for the role restrictions are described in a way that the logical equivalences ¬ ∀R.C =∃R. ¬C) and ¬ ∃R.C =∀R. ¬C) are preserved.

The following logical equivalences demonstrate that commutativity is a property of particular connectives.

We suggest that in the framework of the Category Theory it is possible to demonstrate the mathematical and logical dual equivalence between the category of the q-deformed Hopf Coalgebras and the category of the q-deformed Hopf Algebras in quantum field theory (QFT), interpreted as a thermal field theory.

The problem of logical-form equivalence.

The NeuroMorpho.Org ontology links concepts using three types of logical relationships: subsumption, equivalence, and implication.