## Using Reflection to Explain and Enhance Type Theory (1994)

Venue: | Proof and Computation, volume 139 of NATO Advanced Study Institute, International Summer School held in Marktoberdorf, Germany, July 20-August 1, NATO Series F |

Citations: | 11 - 5 self |

### BibTeX

@INPROCEEDINGS{Constable94usingreflection,

author = {Robert L. Constable},

title = {Using Reflection to Explain and Enhance Type Theory},

booktitle = {Proof and Computation, volume 139 of NATO Advanced Study Institute, International Summer School held in Marktoberdorf, Germany, July 20-August 1, NATO Series F},

year = {1994},

pages = {65--100},

publisher = {Springer}

}

### OpenURL

### Abstract

The five lectures at Marktoberdorf on which these notes are based were about the architecture of problem solving environments which use theorem provers. Experience with these systems over the past two decades has shown that the prover must be extensible, yet it must be kept safe. We examine a way to safely add new decision procedures to the Nuprl prover. It relies on a reflection mechanism and is applicable to any tactic-oriented prover with sufficient reflection. The lectures explain reflection in the setting of constructive type theory, the core logic of Nuprl.