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» Matrix-based Constructive Theorem Proving
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CSL
2001
Springer
13 years 11 months ago
The Anatomy of Innocence
We reveal a symmetric structure in the ho/n games model of innocent strategies, introducing rigid strategies, a concept dual to bracketed strategies. We prove a direct definabilit...
Vincent Danos, Russell Harmer
CIE
2006
Springer
13 years 8 months ago
Do Noetherian Modules Have Noetherian Basis Functions?
In Bishop-style constructive algebra it is known that if a module over a commutative ring has a Noetherian basis function, then it is Noetherian. Using countable choice we prove th...
Peter Schuster, Júlia Zappe
CORR
2010
Springer
82views Education» more  CORR 2010»
13 years 4 months ago
Computing (or not) Quasi-Periodicity Functions of Tilings
Abstract. We know that tilesets that can tile the plane always admit a quasiperiodic tiling [4, 8], yet they hold many uncomputable properties [3, 11, 21, 25]. The quasi-periodicit...
Alexis Ballier, Emmanuel Jeandel
CSL
2007
Springer
14 years 27 days ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
MICS
2010
81views more  MICS 2010»
13 years 5 months ago
Tactics for Hierarchical Proof
Abstract. There is something of a discontinuity at the heart of popular tactical theorem provers. Low-level, fully-checked mechanical proofs are large trees consisting of primitive...
David Aspinall, Ewen Denney, Christoph Lüth