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List of mathematical logic topics and Sequent calculus

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

Difference between List of mathematical logic topics and Sequent calculus

List of mathematical logic topics vs. Sequent calculus

This is a list of mathematical logic topics, by Wikipedia page. Sequent calculus is, in essence, a style of formal logical argumentation where every line of a proof is a conditional tautology (called a sequent by Gerhard Gentzen) instead of an unconditional tautology.

Similarities between List of mathematical logic topics and Sequent calculus

List of mathematical logic topics and Sequent calculus have 18 things in common (in Unionpedia): Automated theorem proving, Cirquent calculus, Consistency, Cut-elimination theorem, Deduction theorem, First-order logic, Formal system, Gödel's incompleteness theorems, Gentzen's consistency proof, Gerhard Gentzen, Higher-order logic, Intuitionistic logic, Resolution (logic), Sequent, Set (mathematics), Soundness, Substructural logic, Tautology (logic).

Automated theorem proving

Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs.

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Cirquent calculus

Cirquent calculus is a proof calculus which manipulates graph-style constructs termed cirquents, as opposed to the traditional tree-style objects such as formulas or sequents.

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Consistency

In classical deductive logic, a consistent theory is one that does not contain a contradiction.

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Cut-elimination theorem

The cut-elimination theorem (or Gentzen's Hauptsatz) is the central result establishing the significance of the sequent calculus.

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Deduction theorem

In mathematical logic, the deduction theorem is a metatheorem of propositional and first-order logic.

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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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Formal system

A formal system is the name of a logic system usually defined in the mathematical way.

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Gödel's incompleteness theorems

Gödel's incompleteness theorems are two theorems of mathematical logic that demonstrate the inherent limitations of every formal axiomatic system containing basic arithmetic.

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Gentzen's consistency proof

Gentzen's consistency proof is a result of proof theory in mathematical logic, published by Gerhard Gentzen in 1936.

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Gerhard Gentzen

Gerhard Karl Erich Gentzen (November 24, 1909 – August 4, 1945) was a German mathematician and logician.

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Higher-order logic

In mathematics and logic, a higher-order logic is a form of predicate logic that is distinguished from first-order logic by additional quantifiers and, sometimes, stronger semantics.

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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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Resolution (logic)

In mathematical logic and automated theorem proving, resolution is a rule of inference leading to a refutation theorem-proving technique for sentences in propositional logic and first-order logic.

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Sequent

In mathematical logic, a sequent is a very general kind of conditional assertion.

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Set (mathematics)

In mathematics, a set is a collection of distinct objects, considered as an object in its own right.

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Soundness

In mathematical logic, a logical system has the soundness property if and only if every formula that can be proved in the system is logically valid with respect to the semantics of the system.

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Substructural logic

In logic, a substructural logic is a logic lacking one of the usual structural rules (e.g. of classical and intuitionistic logic), such as weakening, contraction, exchange or associativity.

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Tautology (logic)

In logic, a tautology (from the Greek word ταυτολογία) is a formula or assertion that is true in every possible interpretation.

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The list above answers the following questions

List of mathematical logic topics and Sequent calculus Comparison

List of mathematical logic topics has 354 relations, while Sequent calculus has 62. As they have in common 18, the Jaccard index is 4.33% = 18 / (354 + 62).

References

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

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