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Description
  • Zkoumáme důkazovou složitost analytických systémů důkazového systému hluboké inference SKSg (kalkulus struktur). S využitím faktu, že pravidlo řezu (i {uparrow} ) v SKSg odpovídá zavedení negace vlevo v sekventovém kalkulu, ukážeme, že %22analytický%22 systém KSg + c{uparrow} ; má v podstatě stejnou složitost jako monotónní Gentzenův kalkulus MLK. Speciálně, KSg + c{uparrow} ; kvazipolynomiálně simuluje SKSg a dovoluje polynomiální důkazy některých variant principu PHP. (cs)
  • We investigate the proof complexity of analytic subsystems of the deep inference proof system SKSg (the calculus of structures). Exploiting the fact that the cut rule (i {uparrow} )of SKSg corresponds to the left rule in the sequent calculus, we establish that the %22analytic%22 system KSg + c{uparrow} has essentially the same complexity as the monotone Gentzen calculus MLK. In particular, KSg + c{uparrow} quasipolynomially simulates SKSg, and admits polynomial-size proofs of some variants of the pigeonhole principle.
  • We investigate the proof complexity of analytic subsystems of the deep inference proof system SKSg (the calculus of structures). Exploiting the fact that the cut rule (i {uparrow} )of SKSg corresponds to the left rule in the sequent calculus, we establish that the %22analytic%22 system KSg + c{uparrow} has essentially the same complexity as the monotone Gentzen calculus MLK. In particular, KSg + c{uparrow} quasipolynomially simulates SKSg, and admits polynomial-size proofs of some variants of the pigeonhole principle. (en)
Title
  • Proof Complexity of the Cut-free Calculus of Structures
  • Důkazová složitost bezřezového kalkulu struktur (cs)
  • Proof Complexity of the Cut-free Calculus of Structures (en)
skos:prefLabel
  • Proof Complexity of the Cut-free Calculus of Structures
  • Důkazová složitost bezřezového kalkulu struktur (cs)
  • Proof Complexity of the Cut-free Calculus of Structures (en)
skos:notation
  • RIV/67985840:_____/09:00323402!RIV09-AV0-67985840
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 337141
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  • RIV/67985840:_____/09:00323402
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  • proof complexity; calculus of structures; monotone sequent calculus (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [2A33A4A484DB]
http://linked.open...i/riv/nazevZdroje
  • Journal of Logic and Computation
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 19
http://linked.open...iv/tvurceVysledku
  • Jeřábek, Emil
http://linked.open...ain/vavai/riv/wos
  • 000264656300006
http://linked.open...n/vavai/riv/zamer
issn
  • 0955-792X
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