Papers

More work available on the drafts page.
2009
Higher-Order Constraint Simplification In Dependent Type Theory
(LFMTP'09)

A Constructive Approach to the Resource Semantics of Substructural Logics
(Submitted)
2007
A Hybrid Metalogical Framework
(Thesis Proposal Working Draft)
[PS]
Intuitionistic Letcc via Labelled Deduction
(With Frank Pfenning, M4M 2007; © Elsevier)
[Twelf]
@inproceedings{reed-m4m2007,
  title = {Intuitionistic Letcc via Labelled Deduction},
  author = {Jason Reed and Frank Pfenning},
  booktitle = {Proceedings of the 5th Workshop on Methods for Modalities (M4M5)},
  year = {2007},
  editor = {C. Areces and S. Demri}
}
2006
Hybridizing a Logical Framework
(HyLo 2006, © Elsevier)
@article{reed2006-hybridlf,
  author    = {Jason Reed},
  title     = {Hybridizing a Logical Framework},
  journal   = {Electr. Notes Theor. Comput. Sci.},
  volume    = {174},
  number    = {6},
  year      = {2006},
  pages     = {135-148},
}
2004
Redundancy Elimination for LF
(LFM 2004)
[LaTeX]
@article{reed2004-redundelim,
  author    = {Jason Reed},
  title     = {Redundancy Elimination for LF},
  journal   = {Electr. Notes Theor. Comput. Sci.},
  volume    = {199},
  year      = {2008},
  pages     = {89-106},
}
2003
Extending Higher-Order Unification to support Proof Irrelevance
(TPHOLs 2003, © Springer-Verlag)
@inproceedings{reed-tphols2003, 
  author    = {Jason Reed},
  editor    = {David A. Basin and
               Burkhart Wolff},
  title     = {Extending Higher-Order Unification to Support Proof Irrelevance},
  booktitle = {Theorem Proving in Higher Order Logics, 16th International
               Conference, TPHOLs 2003, Rome, Italy, September 8-12, 2003,
               Proceedings},
  publisher = {Springer},
  series    = {Lecture Notes in Computer Science},
  volume    = {2758},
  year      = {2003},
}
2002
Higher-Order Pattern Unification and Proof Irrelevance
(TPHOLs 2002 Track B, published in NASA tech report CP-2002-211736)
[LaTeX]
Proof Irrelevance and Strict Definitions in a Logical Framework
(Senior Thesis, published as CMU tech report CMU-CS-02-153)
[LaTeX]
2001
Recursive Datatypes and Diamond Inference
(Final project for 15-816 Linear Logic)
[LaTeX]
Formalizing the Construction of Exponentials in an Elementary Topos
(Final Project for 15-851 Computation & Deduction, Spring 2001)
[LaTeX]
2000
Inverting the Cantor-Bendixson Derivative
(Final project for 21-651 Topology, Fall 2000)
[LaTeX]