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| * Peter B. Andrews: An Introduction to Mathematical Logic and Type theory: To Truth through Proof, Springer 2002 (Chapter 5: Type Theory) | * Peter B. Andrews: An Introduction to Mathematical Logic and Type theory: To Truth through Proof, Springer 2002 (Chapter 5: Type Theory) | ||
| * [[http://imps.mcmaster.ca/doc/seven-virtues.pdf|The Seven Virtues of Simple Type Theory]] | * [[http://imps.mcmaster.ca/doc/seven-virtues.pdf|The Seven Virtues of Simple Type Theory]] | ||
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| [[Immutable Abstract Data Types]] | [[Immutable Abstract Data Types]] | ||
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| - | [[Consequence of Type Safety and Abstraction]] | ||
| [[Theorems as Abstract Data Types]] | [[Theorems as Abstract Data Types]] | ||
| - | [[Concrete Example in Scala]] | + | [[Proof and Code Generation in LCF Systems]] |
| Further reading: | Further reading: | ||
| - | * [[http://doi.acm.org/10.1145/512760.512773|A Metalanguage for interactive proof in LCF]] | + | * [[http://doi.acm.org/10.1145/512760.512773|A Metalanguage for interactive proof in LCF]] - ML stands for meta-Language, because it was a language for writing theorem provers that prove theorems (in object-language i.e. logic of computable functions) |
| * [[http://www.cl.cam.ac.uk/~jrh13/hol-light/index.html|HOL Light]] | * [[http://www.cl.cam.ac.uk/~jrh13/hol-light/index.html|HOL Light]] | ||
| * Upcoming book "Introduction to Logic and Automated Theorem Proving" by John Harrison | * Upcoming book "Introduction to Logic and Automated Theorem Proving" by John Harrison | ||
| + | * Logic and Computation: Interactive Proof with Cambridge LCF | ||
| - | ===== Interactive Prover Overview ===== | + | ===== Overview of Interactive Provers ===== |
| HOL, Isabelle | HOL, Isabelle | ||