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» Matrix-based Constructive Theorem Proving
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CSL
2001
Springer
15 years 6 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
92
Voted
CIE
2006
Springer
15 years 3 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»
14 years 11 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
15 years 8 months 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
116
Voted
MICS
2010
81views more  MICS 2010»
15 years 7 days 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