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searching for Proof calculus 6 found (16 total)

alternate case: proof calculus

Consistency (2,791 words) [view diff] exact match in snippet view article find links to article

\varphi } is deducible from T {\displaystyle T} in some particular formal proof calculus, and they write T ⊨ φ {\displaystyle T\models \varphi } for our notion
Church's thesis (constructive mathematics) (2,657 words) [view diff] exact match in snippet view article
also proven not to be computable. More concretely, it affects ones proof calculus in a way that it makes provable the negations of some common classically
Independence of premise (1,257 words) [view diff] exact match in snippet view article find links to article
intuitionistic proofs, which should be compared against the classical proof calculus. BHK says that a proof of φ → ∃x θ comprises a function that takes a
Noncommutative logic (800 words) [view diff] exact match in snippet view article find links to article
collapsed onto a single, self-dual, operator, and proposed a novel proof calculus, the calculus of structures to accommodate the calculus. The principal
Axiom of non-choice (674 words) [view diff] exact match in snippet view article find links to article
frameworks, the functions can be taken to be sequences of numbers. If a proof calculus includes the principle of excluded middle, then the notion of function
Constructive set theory (34,880 words) [view diff] exact match in snippet view article find links to article
established schema of the latter type as an inference rule of ones proof calculus and nothing new can be proven, one says the theory T {\displaystyle