Similarities between First-order logic and Isabelle (proof assistant)
First-order logic and Isabelle (proof assistant) have 10 things in common (in Unionpedia): Axiom of choice, Gödel's completeness theorem, Higher-order logic, Metamath, Method of analytic tableaux, Prime number theorem, Proof assistant, Resolution (logic), Type theory, Zermelo–Fraenkel set theory.
Axiom of choice
In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that the Cartesian product of a collection of non-empty sets is non-empty.
Axiom of choice and First-order logic · Axiom of choice and Isabelle (proof assistant) ·
Gödel's completeness theorem
Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability in first-order logic.
First-order logic and Gödel's completeness theorem · Gödel's completeness theorem and Isabelle (proof assistant) ·
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.
First-order logic and Higher-order logic · Higher-order logic and Isabelle (proof assistant) ·
Metamath
Metamath is a language for developing strictly formalized mathematical definitions and proofs accompanied by a proof checker for this language and a growing database of thousands of proved theorems covering conventional results in logic, set theory, number theory, group theory, algebra, analysis, and topology, as well as topics in Hilbert spaces and quantum logic.
First-order logic and Metamath · Isabelle (proof assistant) and Metamath ·
Method of analytic tableaux
In proof theory, the semantic tableau (plural: tableaux, also called 'truth tree') is a decision procedure for sentential and related logics, and a proof procedure for formulae of first-order logic.
First-order logic and Method of analytic tableaux · Isabelle (proof assistant) and Method of analytic tableaux ·
Prime number theorem
In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers.
First-order logic and Prime number theorem · Isabelle (proof assistant) and Prime number theorem ·
Proof assistant
In computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human-machine collaboration.
First-order logic and Proof assistant · Isabelle (proof assistant) and Proof assistant ·
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.
First-order logic and Resolution (logic) · Isabelle (proof assistant) and Resolution (logic) ·
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.
First-order logic and Type theory · Isabelle (proof assistant) and Type theory ·
Zermelo–Fraenkel set theory
In mathematics, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.
First-order logic and Zermelo–Fraenkel set theory · Isabelle (proof assistant) and Zermelo–Fraenkel set theory ·
The list above answers the following questions
- What First-order logic and Isabelle (proof assistant) have in common
- What are the similarities between First-order logic and Isabelle (proof assistant)
First-order logic and Isabelle (proof assistant) Comparison
First-order logic has 207 relations, while Isabelle (proof assistant) has 37. As they have in common 10, the Jaccard index is 4.10% = 10 / (207 + 37).
References
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