Parity and the Pigeonhole Principle, Feasible Mathematics, volume 9 of Progress in Computer Science and Applied Logic, pp.1-24, 1990. ,
DOI : 10.1007/978-1-4612-3466-1_1
Monotone Proofs of the Pigeon Hole Principle, MLQ, vol.47, issue.4, pp.461-474, 2001. ,
DOI : 10.1002/1521-3870(200111)47:4<461::AID-MALQ461>3.0.CO;2-B
Monotone simulations of nonmonotone proofs, Proceedings 16th Annual IEEE Conference on Computational Complexity, pp.626-638, 2002. ,
DOI : 10.1109/CCC.2001.933870
An exponential separation between the parity principle and the pigeonhole principle, Annals of Pure and Applied Logic, vol.80, issue.3, pp.195-228, 1996. ,
DOI : 10.1016/0168-0072(96)83747-X
Two Restrictions on Contraction, Logic Journal of IGPL, vol.11, issue.5, pp.525-529, 2003. ,
DOI : 10.1093/jigpal/11.5.525
Deep Inference and Symmetry in Classical Proofs, Logos Verlag, 2004. ,
An Algorithmic Interpretation of a Deep Inference System, Lecture Notes in Computer SciencePapers, vol.5330, 2008. ,
DOI : 10.1007/978-3-540-89439-1_34
A Local System for Classical Logic, 2001. ,
DOI : 10.1007/3-540-45653-8_24
On the proof complexity of deep inference, ACM Transactions on Computational Logic, vol.10, issue.2, pp.1-34, 2009. ,
DOI : 10.1145/1462179.1462186
URL : https://hal.archives-ouvertes.fr/inria-00441211
A Quasipolynomial Cut-Elimination Procedure in Deep Inference via Atomic Flows and Threshold Formulae, Logic for Programming, Artificial Intelligence, and Reasoning (LPAR- 16), pp.136-153, 2010. ,
DOI : 10.1007/978-3-642-17511-4_9
URL : https://hal.archives-ouvertes.fr/hal-00529320
Abstract, The Journal of Symbolic Logic, vol.22, issue.04, pp.916-927, 1987. ,
DOI : 10.1016/0304-3975(85)90144-6
On the Proof Complexity of Cut-Free Bounded Deep Inference, Lecture Notes in Artificial Intelligence, vol.4, issue.1:9, pp.134-148, 2011. ,
DOI : 10.2307/2273702
Complexity of Deep Inference via Atomic Flows, Computability in Europe, pp.139-150, 2012. ,
DOI : 10.1007/978-3-642-30870-3_15
The undeserved status of the pigeon-hole principle, 1991. ,
A system of interaction and structure, ACM Transactions on Computational Logic, vol.8, issue.1, pp.1-64, 2007. ,
DOI : 10.1145/1182613.1182614
URL : https://hal.archives-ouvertes.fr/inria-00441254
Normalisation Control in Deep Inference via Atomic Flows, Logical Methods in Computer Science, vol.4, issue.1, pp.1-36, 2008. ,
DOI : 10.2168/LMCS-4(1:9)2008
A proof calculus which reduces syntactic bureaucracy, of Leibniz International Proceedings in Informatics (LIPIcs) Schloss Dagstuhl?Leibniz-Zentrum für Informatik, pp.135-150, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00529301
Proof Complexity of the Cut-free Calculus of Structures, Journal of Logic and Computation, vol.19, issue.2, pp.323-339, 2009. ,
DOI : 10.1093/logcom/exn054
A sorting network in bounded arithmetic, Annals of Pure and Applied Logic, vol.162, issue.4, pp.341-355, 2011. ,
DOI : 10.1016/j.apal.2010.10.002
Proofs with monotone cuts, Mathematical Logic Quarterly, vol.5, issue.3, pp.177-187, 2012. ,
DOI : 10.1002/malq.201020071
An exponential lower bound to the size of bounded depth frege proofs of the pigeonhole principle, Random Structures and Algorithms, vol.3, issue.1, pp.15-39, 1995. ,
DOI : 10.1002/rsa.3240070103
? 0 sets and induction. Open Days in Model Theory and Set Theory, pp.237-248, 1981. ,
Exponential lower bounds for the pigeonhole principle, Computational Complexity, vol.34, issue.2, pp.97-140, 1993. ,
DOI : 10.1007/BF01200117
Proof Complexity of Pigeonhole Principles, Developments in Language Theory, pp.203-206, 2002. ,
DOI : 10.1007/3-540-46011-X_8
Extension without cut, Annals of Pure and Applied Logic, vol.163, issue.12, 1995. ,
DOI : 10.1016/j.apal.2012.07.004