In logic, a logical framework provides a means to define a logic as a signature in a higher-order type theory in such a way that provability of a formula in the original logic reduces to a type inhabitation problem in the framework type theory. This approach has been used successfully for automated theorem proving. The first logical framework was Automath, however the name of the idea comes from the more widely known Edinburgh Logical Framework, LF. Several more recent proof tools like Isabelle are based on this idea. Unlike a direct embedding, the logical framework approach allows many logics to be embedded in the same type system. A logical framework is based on a general treatment of syntax, rules and proofs by means of a dependently typed lambda calculus. Syntax is treated in a style similar to, but more general than Per Martin-Löf's system of arities. To describe a logical framework, one must provide the following: ⁕A characterization of the class of object-logics to be represented; ⁕An appropriate meta-language; ⁕A characterization of the mechanism by which object-logics are represented. This is summarized by: ‘Framework = Language + Representation’.
The numerical value of logical framework in Chaldean Numerology is: 4
The numerical value of logical framework in Pythagorean Numerology is: 7
Images & Illustrations of logical framework
Find a translation for the logical framework definition in other languages:
Select another language:
Discuss these logical framework definitions with the community:
Word of the Day
Would you like us to send you a FREE new word definition delivered to your inbox daily?
Use the citation below to add this definition to your bibliography:
"logical framework." Definitions.net. STANDS4 LLC, 2017. Web. 24 Apr. 2017. <http://www.definitions.net/definition/logical framework>.