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AISC
2008
Springer
14 years 2 days ago
MetiTarski: An Automatic Prover for the Elementary Functions
Many inequalities involving the functions ln, exp, sin, cos, etc., can be proved automatically by MetiTarski: a resolution theorem prover (Metis) modified to call a decision proced...
Behzad Akbarpour, Lawrence C. Paulson
CCCG
2009
13 years 11 months ago
Every Large Point Set contains Many Collinear Points or an Empty Pentagon
We prove the following generalised empty pentagon theorem: for every integer 2, every sufficiently large set of points in the plane contains collinear points or an empty pentagon...
Zachary Abel, Brad Ballinger, Prosenjit Bose, S&ea...
CSL
2010
Springer
13 years 11 months ago
Untyping Typed Algebraic Structures and Colouring Proof Nets of Cyclic Linear Logic
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...
Damien Pous
CORR
2008
Springer
90views Education» more  CORR 2008»
13 years 10 months ago
Cauchy's Arm Lemma on a Growing Sphere
We propose a variant of Cauchy's Lemma, proving that when a convex chain on one sphere is redrawn (with the same lengths and angles) on a larger sphere, the distance between ...
Zachary Abel, David Charlton, Sébastien Col...
IPL
2006
92views more  IPL 2006»
13 years 10 months ago
A constructive approach to sequential Nash equilibria
We present a Coq-formalised proof that all non-cooperative, sequential games have a Nash equilibrium point. Our proof methodology follows the style advocated by LCFstyle theorem p...
René Vestergaard