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Intuitionistic type theory and List of mathematical logic topics

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Intuitionistic type theory and List of mathematical logic topics

Intuitionistic type theory vs. List of mathematical logic topics

Intuitionistic type theory (also known as constructive type theory, or Martin-Löf type theory) is a type theory and an alternative foundation of mathematics. This is a list of mathematical logic topics, by Wikipedia page.

Similarities between Intuitionistic type theory and List of mathematical logic topics

Intuitionistic type theory and List of mathematical logic topics have 15 things in common (in Unionpedia): Boolean algebra, Calculus of constructions, Cartesian product, Coq, Curry–Howard correspondence, Decision problem, First-order logic, Foundations of mathematics, Impredicativity, Intuitionistic logic, Mathematical induction, Type theory, Typed lambda calculus, Undecidable problem, Well-founded relation.

Boolean algebra

In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 respectively.

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Calculus of constructions

In mathematical logic and computer science, the calculus of constructions (CoC) is a type theory created by Thierry Coquand.

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Cartesian product

In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.

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Coq

In computer science, Coq is an interactive theorem prover.

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Curry–Howard correspondence

In programming language theory and proof theory, the Curry–Howard correspondence (also known as the Curry–Howard isomorphism or equivalence, or the proofs-as-programs and propositions- or formulae-as-types interpretation) is the direct relationship between computer programs and mathematical proofs.

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Decision problem

In computability theory and computational complexity theory, a decision problem is a problem that can be posed as a yes-no question of the input values.

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First-order logic

First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.

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Foundations of mathematics

Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics.

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Impredicativity

Something that is impredicative, in mathematics and logic, is a self-referencing definition.

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Intuitionistic logic

Intuitionistic logic, sometimes more generally called constructive logic, refers to systems of symbolic logic that differ from the systems used for classical logic by more closely mirroring the notion of constructive proof.

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Mathematical induction

Mathematical induction is a mathematical proof technique.

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Type theory

In mathematics, logic, and computer science, a type theory is any of a class of formal systems, some of which can serve as alternatives to set theory as a foundation for all mathematics.

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Typed lambda calculus

A typed lambda calculus is a typed formalism that uses the lambda-symbol (\lambda) to denote anonymous function abstraction.

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Undecidable problem

In computability theory and computational complexity theory, an undecidable problem is a decision problem for which it is known to be impossible to construct a single algorithm that always leads to a correct yes-or-no answer.

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Well-founded relation

In mathematics, a binary relation, R, is called well-founded (or wellfounded) on a class X if every non-empty subset S ⊆ X has a minimal element with respect to R, that is an element m not related by sRm (for instance, "s is not smaller than m") for any s ∈ S. In other words, a relation is well founded if Some authors include an extra condition that R is set-like, i.e., that the elements less than any given element form a set.

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The list above answers the following questions

Intuitionistic type theory and List of mathematical logic topics Comparison

Intuitionistic type theory has 58 relations, while List of mathematical logic topics has 354. As they have in common 15, the Jaccard index is 3.64% = 15 / (58 + 354).

References

This article shows the relationship between Intuitionistic type theory and List of mathematical logic topics. To access each article from which the information was extracted, please visit:

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