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A Note on polynomial-size monotone proofs of the pigeon hole principle
Atserias, Albert
Universitat Politècnica de Catalunya. Departament de Ciències de la Computació
We see that the version of the pigeon-hole principle in which every hole is forced to receive a pigeon (called onto) and the version in which every pigeon is mapped into exactly one hole (called functional) have polynomial-size proofs in the tree-like monotone sequent calculus. The proofs are surprisingly simple reductions to the non-monotone case
Àrees temàtiques de la UPC::Informàtica
Pigeon-hole principle
Polynomial-size monotone proofs
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