René Vestergaard's writings and implementation work

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[ formal reasoning technology
| generic regulation analysis
| systems biology
| formal game theory
| the primitive proof theory of the lambda-calculus
| module systems
| proof theory and computation
| normalisation by evaluation ]

Formal Reasoning Technology

Proof Pearl: de Bruijn Terms Really do Work
with Michael Norrish
[ abstract | pre-print: TPHOLs2007 ]
Structural Preservation and Reflection of Diagrams
with Michael Norrish
[ abstract | tech report: JAIST/IS-RR-2006-011 ]

Generic Regulation Analysis

The Student, The Night Nurse, and the Threat at the Watercooler
(an example Cascaded-Game Analysis)
[ note | .pInf ]

Systems Biology

Lambdoid Emergence
with Jittisak Senachak and Mun'delanji Vestergaard
[ abstract | IS-RR-2008-001 ]
Cascaded Games
with Jittisak Senachak and Mun'delanji Vestergaard
[ abstract | pre-print: AB2007 | slides | lambda phage | supersedes JAIST/IS-RR-2006-007 ]
Rewriting Game Theory Applied to Protein Signalling in MAPK Cascades
with Jittisak Senachak and Mun'delanji Vestergaard
[ abstract | JAIST/IS-RR-2006-007 | cascaded protein games ]
Rewriting Game Theory as a Foundation for State-Based Models of Gene Regulation
with Chafika Chettaoui, Franck Delaplace, Pierre Lescanne, and Mun'delanji Vestergaard
[ abstract | pre-print: CMSB2006 ]

Formal Game Theory

A Discrete Nash Theorem with Quadratic Complexity and Dynamic Equilibria
with Stephane Le Roux and Pierre Lescanne
[ abstract | preliminary version | supersedes JAIST/IS-RR-2006-006 ]
The Inductive and Modal Proof Theory of Aumann's Theorem on Rationality
with Pierre Lescanne and Hiroakira Ono
[ abstract | tech report: JAIST/IS-RR-2006-009 | Coq theory 1, 2 ]
A Constructive Approach to Sequential Nash Equilibria
[ abstract | pre-print: IPL 97(2), 2006 | Coq theory ]

The Primitive Proof Theory of the lambda-Calculus

Module Systems

Proof Theory and Computation

Normalisation by Evaluation: implementation, type theory, applications


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