Proof assistants | Logic in computer science | Type theory

Logical framework

In logic, a logical framework provides a means to define (or present) 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 (interactive) 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. (Wikipedia).

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From playlist Logic & Philosophy of Mathematics

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From playlist Problem Solving

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From playlist Maths for Programmers

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From playlist Math Foundations

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From playlist Math Foundations

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From playlist Math Foundations

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From playlist Math Foundations

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From playlist Logic and learning workshop

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From playlist Logic

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From playlist Software Development

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From playlist US-India Advanced Studies Institute: Classical and Quantum Information

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From playlist Python

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From playlist Open Source Bridge 2015

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From playlist Spring Framework Tutorial Videos

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From playlist Kernel Recipes 2017

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From playlist Simplilearn Live

Related pages

Automath | Decidability (logic) | Type inhabitation | Grammatical Framework | Type theory | Impredicativity | Automated theorem proving | Type inference | First-order logic | Twelf | Minimal logic | Provability logic | Turnstile (symbol)