Mar 10, 2022 · In higher-order logic, the idea underlying second-order logic is extended to embrace quantification over higher-order entities such as ...
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This leads to a discussion of higher-order logic based on the concept of a type. The second Section contains an account of the origins and nature of type theory ...
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Jan 5, 2024 · Typed higher-order logic may be called higher-order type theory. Typed higher-order intuitionistic logic is often identified with the internal ...
Oct 13, 2017 · Taken at face value, it says that higher-order logic is the union of all logics up to some arbitrary n. This would imply that higher-order logic ...
Higher-Order Logic and Type Theory
Book by John Lane Bell
This Element is an exposition of second- and higher-order logic and type theory. It begins with a presentation of the syntax and semantics of classical second-order logic, pointing up the contrasts with first-order logic. This leads to a... Google Books
Originally published: March 10, 2022
Author: John Lane Bell
In mathematics and logic, a higher-order logic (abbreviated HOL) is a form of logic that is distinguished from first-order logic by additional quantifiers ...
Implement type theories/higher order logics to specify and reason about mathematics. Feature expressive specification languages that allow encoding.
This leads to a discussion of higher-order logic based on the concept of a type. The second Section contains an account of the origins and nature of type theory ...
Aug 25, 2006 · Type theories are also called higher-order logics, since they allow quantification not only over individual variables (as in first-order logic) ...
This leads to a discussion of higher-order logic based on the concept of a type. The second Section contains an account of the origins and nature of type theory ...
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Higher-Order Logic and Type Theory (Elements in Philosophy and ; Publication Date: March 31st, 2022. Publisher: ; Publisher: Cambridge University Press.