First-order logic and Predicate transformer semantics

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

Difference between First-order logic and Predicate transformer semantics

First-order logic vs. Predicate transformer semantics

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. Predicate transformer semantics were introduced by Edsger Dijkstra in his seminal paper "Guarded commands, nondeterminacy and formal derivation of programs".

Similarities between First-order logic and Predicate transformer semantics

First-order logic and Predicate transformer semantics have 7 things in common (in Unionpedia): Formal system, Gödel's completeness theorem, Natural number, Predicate (mathematical logic), Proof assistant, Set theory, Type theory.

Formal system

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

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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.

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Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

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Predicate (mathematical logic)

In mathematical logic, a predicate is commonly understood to be a Boolean-valued function P: X→, called the predicate on X. However, predicates have many different uses and interpretations in mathematics and logic, and their precise definition, meaning and use will vary from theory to theory.

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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.

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Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

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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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The list above answers the following questions

What First-order logic and Predicate transformer semantics have in common
What are the similarities between First-order logic and Predicate transformer semantics

First-order logic and Predicate transformer semantics Comparison

First-order logic has 207 relations, while Predicate transformer semantics has 54. As they have in common 7, the Jaccard index is 2.68% = 7 / (207 + 54).

References

This article shows the relationship between First-order logic and Predicate transformer semantics. To access each article from which the information was extracted, please visit:

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