Vou contar pro Hermann que ninguém aqui quer ler o paper dele On Tue, Oct 11, 2016 at 12:09 PM, Francisco Antonio Doria <[email protected]> wrote: > Gostaria de poder contribuir, mas desconheço as técnicas usadas. > > On Tue, Oct 11, 2016 at 10:24 AM, Joao Marcos <[email protected]> wrote: >> >> Bem, certamente os nossos colegas estão precisando menos da nossa >> *confiança* na correção do resultado e mais da *leitura competente* do >> material que produziram... >> >> A propósito, Hermann pediu para avisar que a página >> http://www.tecmf.inf.puc-rio.br/NPPSPACE >> foi atualizada com material explicativo, e para dizer que "há alguns >> problemas de formatação (código tex misturado com wiki), mas é >> perfeitamente inteligível". >> >> JM >> >> >> >>> ---------- Forwarded message ---------- >> >>> >> >>> Date: Sat, 8 Oct 2016 10:06:50 -0600 >> >>> From: Richard Zach <[email protected]> >> >>> To: <[email protected]> >> >>> >> >>> >> >>> New on arXiv this week; has anyone read it/formed an opinion? >> >>> >> >>> https://arxiv.org/abs/1609.09562 >> >>> >> >>> NP vs PSPACE >> >>> Lew Gordeev <https://arxiv.org/find/cs/1/au:+Gordeev_L/0/1/0/all/0/1>, >> >>> Edward Hermann Haeusler >> >>> <https://arxiv.org/find/cs/1/au:+Haeusler_E/0/1/0/all/0/1> >> >>> (Submitted on 30 Sep 2016) >> >>> >> >>> We present a proof of the conjecture $\mathcal{NP}$ = >> >>> $\mathcal{PSPACE}$ by showing that arbitrary tautologies of >> >>> Johansson's minimal propositional logic admit "small" polynomial-size >> >>> dag-like natural deductions in Prawitz's system for minimal >> >>> propositional logic. These "small" deductions arise from standard >> >>> "large"\ tree-like inputs by horizontal dag-like compression that is >> >>> obtained by merging distinct nodes labeled with identical formulas >> >>> occurring in horizontal sections of deductions involved. The >> >>> underlying "geometric" idea: if the height, $h\left( \partial \right) >> >>> $ , and the total number of distinct formulas, $\phi \left( \partial >> >>> \right) $ , of a given tree-like deduction $\partial$ of a minimal >> >>> tautology $\rho$ are both polynomial in the length of $\rho$, $\left| >> >>> \rho \right|$, then the size of the horizontal dag-like compression is >> >>> at most $h\left( \partial \right) \times \phi \left( \partial \right) >> >>> $, and hence polynomial in $\left| \rho \right|$. The attached proof >> >>> is due to the first author, but it was the second author who proposed >> >>> an initial idea to attack a weaker conjecture $\mathcal{NP}= >> >>> \mathcal{\mathit{co}NP}$ by reductions in diverse natural deduction >> >>> formalisms for propositional logic. That idea included interactive use >> >>> of minimal, intuitionistic and classical formalisms, so its practical >> >>> implementation was too involved. The attached proof of $ >> >>> \mathcal{NP}=\mathcal{PSPACE}$ runs inside the natural deduction >> >>> interpretation of Hudelmaier's cutfree sequent calculus for minimal >> >>> logic. >> >> -- >> Você está recebendo esta mensagem porque se inscreveu no grupo "LOGICA-L" >> dos Grupos do Google. >> Para cancelar inscrição nesse grupo e parar de receber e-mails dele, envie >> um e-mail para [email protected]. >> Para postar neste grupo, envie um e-mail para [email protected]. >> Visite este grupo em >> https://groups.google.com/a/dimap.ufrn.br/group/logica-l/. >> Para ver esta discussão na web, acesse >> https://groups.google.com/a/dimap.ufrn.br/d/msgid/logica-l/CAO6j_LgdR%2BQkG_6EXQQXdmj0rttxforXPH_u6Hzfs%3DGCj46mVw%40mail.gmail.com. > > > > > -- > fad > > ahhata alati, awienta Wilushati > > -- > Você recebeu essa mensagem porque está inscrito no grupo "LOGICA-L" dos > Grupos do Google. > Para cancelar inscrição nesse grupo e parar de receber e-mails dele, envie > um e-mail para [email protected]. > Para postar nesse grupo, envie um e-mail para [email protected]. > Acesse esse grupo em > https://groups.google.com/a/dimap.ufrn.br/group/logica-l/. > Para ver essa discussão na Web, acesse > https://groups.google.com/a/dimap.ufrn.br/d/msgid/logica-l/CA%2BuR7BL0z1UpyGcRNXOD8mknR%3DO9xhPx%3Dy5HeiZLyiOA_4ffxg%40mail.gmail.com.
-- Você está recebendo esta mensagem porque se inscreveu no grupo "LOGICA-L" dos Grupos do Google. Para cancelar inscrição nesse grupo e parar de receber e-mails dele, envie um e-mail para [email protected]. Para postar neste grupo, envie um e-mail para [email protected]. Visite este grupo em https://groups.google.com/a/dimap.ufrn.br/group/logica-l/. Para ver esta discussão na web, acesse https://groups.google.com/a/dimap.ufrn.br/d/msgid/logica-l/CADs%2B%2B6hSF9nqaNHJ%2Bha4Mw_rvpQ%3DB-AqRUH7iyCkh9Bdsk8E2A%40mail.gmail.com.
