Noam Zeilberger

email: [my full name] at
bitmessage: BM-2cXzF3dZqCRzBVW56RbxJmiUL1gcw3ZXJw


I am currently a member of the Mathematical Components group at the MSR-INRIA Joint Centre. Last year I participated in the special year on type theory at the IAS. Before that, I spent a year at the IMDEA Software institute in Madrid, and before that two years in Paris at Laboratoire PPS and Equipe πr², on a fellowship of the Fondation Sciences Mathématiques de Paris. I got my PhD in 2009 from CMU SCS, after six great years living in Pittsburgh.

Research Interests

I am interested broadly in the connections between language and computation, and am excited by the potential of logic for facilitating communication and reaching unity across different disciplines. I have spent time thinking about the Curry-Howard correspondence in general, and more specifically about:

Recently, I have also become interested in the notion of zero-knowledge from cryptography/complexity theory, and how it relates to notions of knowledge from proof theory.

Recent drafts

Type refinement and monoidal closed bifibrations.
With Paul-André Melliès. October 1, 2013.

Recent talks

Type refinement in the abstract.
October 16, 2013, at MSR Cambridge. [inkscape svg]
Polarity in Proof Theory and Programming.
August 30, 2013, at the Summer School on Linear Logic and Geometry of Interaction in Torino, Italy.
HOPE for a type-theoretic understanding of zero-knowledge.
September 9, 2012, at the 1st ACM SIGPLAN workshop on Higher-Order Programming with Effects. (Note: the slides seem to render funny with Firefox -- best viewed in Chrome or Safari.)
BONUS: slides for the "15 minute" version I gave October 4th at the IAS postdoc seminar series.

Older publications

Polarity and the logic of delimited continuations.
In Proceedings of the Twenty-Fifth Annual IEEE Symposium on Logic in Computer Science (LICS 2010). [twelf code] [slides]
Defunctionalizing focusing proofs.
Presented at the 2009 International Workshop on Proof-Search in Type Theories. [twelf code] [more twelf]
Refinement types and computational duality.
In Proceedings of the 2009 Workshop on Programming Languages meets Program Verification (PLPV 09). [agda code]
Focusing on binding and computation.
With Dan Licata and Bob Harper. In Proceedings of the Twenty-Third Annual IEEE Symposium on Logic in Computer Science (LICS 08). [tech report]
Focusing and higher-order abstract syntax.
In Proceedings of the 35th Annual ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (POPL 08). [coq code] [notes]
On the unity of duality.
Annals of Pure and Applied Logic 153:1 (2008), special issue on "Classical logic and computation". [doi]


PhD in computer science, 2009, Carnegie Mellon University
The Logical Basis of Evaluation Order and Pattern-Matching.
Committee: Peter Lee (co-advisor), Frank Pfenning (co-advisor), Robert W. Harper, Paul-André Melliès (external member)

Techniques from linear logic and infinitary proof theory (connected to the old idea of a "proof-theoretic semantics" of logic) yield new insights into seemingly extra-logical features of modern programming languages. By applying the Curry-Howard correspondence to focusing proofs, we develop a polarized type theory in which evaluation order is explicitly reflected at the level of types, and which has built-in support for pattern-matching. This framework provides an elegant, uniform account of both untyped and intrinsically well-typed computation, and moreover can be extended with an extrinsic (Curry-style) type system to express and enforce more refined semantic properties of programs. We apply these ideas to explore the theory of typing and subtyping for intersection and union types in the presence of effects, giving a simplified explanation of some of the unusual artifacts of existing systems.

Other papers

Nathack: a natural language interface for nethack.
January, 2003. With Cassia Martin, David Molnar, and Dev Purkayastha. As the title suggests, this was a natural language interface for nethack! Done with a mix of prolog, embedded lua, and scary hacking within nethack's internal C source. Our code is lying around somewhere, and I could dig it up upon request.

Et cetera

Wikipedia editing / the nLab
Knowledge is a collaborative effort.
And Quiet Flows the Mon
A photography project from the dark days after the 2004 U.S. Presidential Elections.
In Tune With Fun
A true-life story about learning the accordion.

We may just be cockroaches at the base of a very large garbage mountain.
Dana Scott (on mathematics)