In mathematical logic, a superintuitionistic logic is a propositional logic extending intuitionistic logic. Classical logic is the strongest consistent superintuitionistic logic; thus, consistent superintuitionistic logics are called intermediate logics (the logics are intermediate between intuitionistic logic and classical logic).[1]
^"Intermediate logic", Encyclopedia of Mathematics, EMS Press, 2001 [1994].
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superintuitionistic logic; thus, consistent superintuitionistic logics are called intermediatelogics (the logics are intermediate between intuitionistic logic and classical...
logic, sometimes more generally called constructive logic, refers to systems of symbolic logic that differ from the systems used for classical logic by...
considering theorems of classical logic that are not theorems of minimal logic. Each of these extensions leads to an intermediatelogic: Double-negation elimination...
branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. It deals...
different components, such as the communication rule for the intermediatelogic LC (Gödel–Dummett logic) Γ 1 ⇒ Δ 1 ∣ ⋯ ∣ Γ n ⇒ Δ n ∣ Σ ⇒ A Ω 1 ⇒ Θ 1 ∣ ⋯ ∣ Ω m...
Classical logic (or standard logic) or Frege–Russell logic is the intensively studied and most widely used class of deductive logic. Classical logic has had...
Look up Appendix:Glossary of logic in Wiktionary, the free dictionary. This is a glossary of logic. Logic is the study of the principles of valid reasoning...
\Box A} . Another example is given by the communication rule for the intermediatelogic LC Γ 1 ⊢ Δ 1 ∣ ⋯ ∣ Γ n ⊢ Δ n ∣ Ω ⊢ A Σ 1 ⊢ Π 1 ∣ ⋯ ∣ Σ m ⊢ Π m ∣ Θ...
mathematical logic, he developed an intermediatelogic, a logical system intermediate between classical logic and intuitionistic logic that had already...
circumstances that produce intermediate levels, so that the circuit behaves predictably. Nearly all digital circuits use a consistent logic level for all internal...
Michael (2022). Logic primer (3rd ed.). Cambridge, Massachusetts: The MIT Press. ISBN 978-0-262-54364-4. Bostock, David (1997). Intermediatelogic. Oxford :...
well-studied intermediatelogic is given by De Morgan logic, which adds the axiom ¬ P ∨ ¬ ¬ P {\displaystyle \neg P\lor \neg \neg P} to intuitionistic logic, which...
Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept...
A\to (A\to B)} Intermediatelogics are in between intuitionistic logic and classical logic. Here are a few intermediatelogics: Jankov logic (KC) is an extension...
Logic models are hypothesized descriptions of the chain of causes and effects leading to an outcome of interest (e.g. prevalence of cardiovascular diseases...
In logic, a modal companion of a superintuitionistic (intermediate) logic L is a normal modal logic that interprets L by a certain canonical translation...
In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the...
value, either true or false. A logic satisfying this principle is called a two-valued logic or bivalent logic. In formal logic, the principle of bivalence...
assigned a truth value. Unproven statements in intuitionistic logic are not given an intermediate truth value (as is sometimes mistakenly asserted). Indeed...
(1997). IntermediateLogic. Oxford University Press. ISBN 978-0-19-156707-0. Carnielli, Walter A. (1987). "Systematization of Finite Many-Valued Logics Through...