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.
Automated theorem proving and List of mathematical logic topics · Automated theorem proving and Sequent calculus ·
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.
Cirquent calculus and List of mathematical logic topics · Cirquent calculus and Sequent calculus ·
Consistency
In classical deductive logic, a consistent theory is one that does not contain a contradiction.
Consistency and List of mathematical logic topics · Consistency and Sequent calculus ·
Cut-elimination theorem
The cut-elimination theorem (or Gentzen's Hauptsatz) is the central result establishing the significance of the sequent calculus.
Cut-elimination theorem and List of mathematical logic topics · Cut-elimination theorem and Sequent calculus ·
Deduction theorem
In mathematical logic, the deduction theorem is a metatheorem of propositional and first-order logic.
Deduction theorem and List of mathematical logic topics · Deduction theorem and Sequent calculus ·
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.
First-order logic and List of mathematical logic topics · First-order logic and Sequent calculus ·
Formal system
A formal system is the name of a logic system usually defined in the mathematical way.
Formal system and List of mathematical logic topics · Formal system and Sequent calculus ·
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.
Gödel's incompleteness theorems and List of mathematical logic topics · Gödel's incompleteness theorems and Sequent calculus ·
Gentzen's consistency proof
Gentzen's consistency proof is a result of proof theory in mathematical logic, published by Gerhard Gentzen in 1936.
Gentzen's consistency proof and List of mathematical logic topics · Gentzen's consistency proof and Sequent calculus ·
Gerhard Gentzen
Gerhard Karl Erich Gentzen (November 24, 1909 – August 4, 1945) was a German mathematician and logician.
Gerhard Gentzen and List of mathematical logic topics · Gerhard Gentzen and Sequent calculus ·
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.
Higher-order logic and List of mathematical logic topics · Higher-order logic and Sequent calculus ·
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.
Intuitionistic logic and List of mathematical logic topics · Intuitionistic logic and Sequent calculus ·
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.
List of mathematical logic topics and Resolution (logic) · Resolution (logic) and Sequent calculus ·
Sequent
In mathematical logic, a sequent is a very general kind of conditional assertion.
List of mathematical logic topics and Sequent · Sequent and Sequent calculus ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
List of mathematical logic topics and Set (mathematics) · Sequent calculus and Set (mathematics) ·
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.
List of mathematical logic topics and Soundness · Sequent calculus and Soundness ·
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.
List of mathematical logic topics and Substructural logic · Sequent calculus and Substructural logic ·
Tautology (logic)
In logic, a tautology (from the Greek word ταυτολογία) is a formula or assertion that is true in every possible interpretation.
List of mathematical logic topics and Tautology (logic) · Sequent calculus and Tautology (logic) ·
The list above answers the following questions
- What List of mathematical logic topics and Sequent calculus have in common
- What are the similarities between List of mathematical logic topics and Sequent calculus
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
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