superintuitionistic logic; thus, consistent superintuitionistic logics are called intermediate logics (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...

In logic, a three-valued logic (also trinary logic, trivalent, ternary, or trilean, sometimes abbreviated 3VL) is any of several many-valued logic systems...

logic is not a finitely-many valued logic, and defined a system of Gödel logics intermediate between classical and intuitionistic logic; such logics are...

Formal logic Free logic Fuzzy logic Higher-order logic Infinitary logic Informal logic Intensional logic Intermediate logic Interpretability logic Intuitionistic...

In logic, a modal companion of a superintuitionistic (intermediate) logic L is a normal modal logic that interprets L by a certain canonical translation...

\Box A} . Another example is given by the communication rule for the intermediate logic LC Γ 1 ⊢ Δ 1 ∣ ⋯ ∣ Γ n ⊢ Δ n ∣ Ω ⊢ A Σ 1 ⊢ Π 1 ∣ ⋯ ∣ Σ m ⊢ Π m ∣ Θ...

different components, such as the communication rule for the intermediate logic LC (Gödel–Dummett logic) Γ 1 ⇒ Δ 1 ∣ ⋯ ∣ Γ n ⇒ Δ n ∣ Σ ⇒ A Ω 1 ⇒ Θ 1 ∣ ⋯ ∣ Ω m...

considering theorems of classical logic that are not theorems of minimal logic. Each of these extensions leads to an intermediate logic: Double-negation elimination...

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...

branch of logic. It is also called propositional logic, statement logic, sentential calculus, sentential logic, or sometimes zeroth-order logic. Sometimes...

intuitionistic propositional logic. Intermediate logic von Plato, Jan (2003). "Skolem's Discovery of Gödel-Dummett Logic". Studia Logica. 73 (1): 153–157...

(2011). Language Proof and Logic (2nd ed.). CSLI Publications. ISBN 978-1575866321. Bostock, David (1997). Intermediate Logic. Oxford ; New York: Clarendon...

intuitionistic logic. In the proof, he implicitly used what has later become known as Gödel–Dummett intermediate logic (or Gödel fuzzy logic). Gödel earned...

used to stand for propositional variables. Bostock, David (1997). Intermediate logic. Oxford : New York: Clarendon Press; Oxford University Press. pp. 8...

circumstances that produce intermediate levels, so that the circuit behaves predictably. Nearly all digital circuits use a consistent logic level for all internal...

A\to (A\to B)} Intermediate logics are in between intuitionistic logic and classical logic. Here are a few intermediate logics: Jankov logic (KC) is an extension...

"if P then Q". Peirce's law does not hold in intuitionistic logic or intermediate logics and cannot be deduced from the deduction theorem alone. Under...

mathematical logic, he developed an intermediate logic, a logical system intermediate between classical logic and intuitionistic logic that had already...

Face-to-face Classical logic Intermediate logic Intuitionistic logic Minimal logic Relevant logic Affine logic Linear logic Ordered logic Dialetheism Absurdism...

well-studied intermediate logic is given by De Morgan logic, which adds the axiom ¬ P ∨ ¬ ¬ P {\displaystyle \neg P\lor \neg \neg P} to intuitionistic logic, which...

In logic, an infinite-valued logic (or real-valued logic or infinitely-many-valued logic) is a many-valued logic in which truth values comprise a continuous...

In propositional logic and Boolean algebra, De Morgan's laws, also known as De Morgan's theorem, are a pair of transformation rules that are both valid...

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...

Proof theory is a major branch of mathematical logic and theoretical computer science within which proofs are treated as formal mathematical objects,...

Logic models are hypothesized descriptions of the causal chains in certain plans, used to show programmes of action and the results desired from them...

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...

George (1998). Logic, Logic, and Logic. Cambridge, MA: Harvard University Press. ISBN 0-674-53767-X. Intermediate Logic (PDF). Open Logic Project. p. 235...

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...

Symbolic Logic 66 (2001), no. 1, pp. 281–294. Project Euclid JSTOR R. Iemhoff, Intermediate logics and Visser's rules, Notre Dame Journal of Formal Logic 46...