Type Theory For Proof Assistants Inductive Types

Media Summary: References Curry–Howard correspondence Howard, W. A. (1980). "The formulae-as- As computers are used more and more to confirm proofs, is it time to take computer science's contribution to mathematics further? For course material, see Lecture notes: ...

Type Theory For Proof Assistants Inductive Types - Detailed Analysis & Overview

References Curry–Howard correspondence Howard, W. A. (1980). "The formulae-as- As computers are used more and more to confirm proofs, is it time to take computer science's contribution to mathematics further? For course material, see Lecture notes: ... The Curry-Howard correspondence is a deep relationship between logic, computation, and Could a computer program find Fermat's Lost Theorem? Professor Altenkirch shows us how to get started with lean. EXTRA BITS ...

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Type Theory for Proof Assistants: Inductive Types

Inductive Types

Type Theory for Proof Assistants: Calculus of Construction

Computer Science ∩ Mathematics (Type Theory) - Computerphile

Higher Inductive Types in Cubical Computational Type Theory

Type Theory in Type Theory Using Quotient Inductive Types

"A Little Taste of Dependent Types" by David Christiansen

22 Higher Inductive Types

Proofs are Programs

Automated Mathematical Proofs - Computerphile

21 Inductive Types

[POPL'18] Decidability of Conversion for Type Theory in Type Theory

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Type Theory for Proof Assistants: Inductive Types

Type Theory for Proof Assistants: Inductive Types

References

Inductive Types

Inductive Types

Inductive

Type Theory for Proof Assistants: Calculus of Construction

Type Theory for Proof Assistants: Calculus of Construction

References Curry–Howard correspondence • Howard, W. A. (1980). "The formulae-as-

Computer Science ∩ Mathematics (Type Theory) - Computerphile

Computer Science ∩ Mathematics (Type Theory) - Computerphile

As computers are used more and more to confirm proofs, is it time to take computer science's contribution to mathematics further?

Higher Inductive Types in Cubical Computational Type Theory

Higher Inductive Types in Cubical Computational Type Theory

Paper and supplementary material: ...

Type Theory in Type Theory Using Quotient Inductive Types

Type Theory in Type Theory Using Quotient Inductive Types

Thorsten Altenkirch.

"A Little Taste of Dependent Types" by David Christiansen

"A Little Taste of Dependent Types" by David Christiansen

Dependent

22 Higher Inductive Types

22 Higher Inductive Types

For course material, see http://www.cs.cmu.edu/~rwh/courses/hott/ Lecture notes: ...

Proofs are Programs

Proofs are Programs

The Curry-Howard correspondence is a deep relationship between logic, computation, and

Automated Mathematical Proofs - Computerphile

Automated Mathematical Proofs - Computerphile

Could a computer program find Fermat's Lost Theorem? Professor Altenkirch shows us how to get started with lean. EXTRA BITS ...

21 Inductive Types

21 Inductive Types

For course material, see http://www.cs.cmu.edu/~rwh/courses/hott/ Lecture notes: ...

[POPL'18] Decidability of Conversion for Type Theory in Type Theory

[POPL'18] Decidability of Conversion for Type Theory in Type Theory

Decidability of Conversion for

More on Higher Inductive Types

More on Higher Inductive Types

CSCI 8980 Higher-Dimensional