Last edited by Dolkree
Monday, May 11, 2020 | History

2 edition of GL* found in the catalog.

GL*

Steven Perron

GL*

a propositional proof system for logspace.

by Steven Perron

  • 233 Want to read
  • 25 Currently reading

Published .
Written in English


About the Edition

In recent years, there has been considerable research exploring connections between propositional proof systems, theories of bounded arithmetic, and complexity classes. We know that NC1 corresponds to G*0 and that P corresponds to G*1 , but no proof system corresponding to a complexity class between NC1 and P has been defined.In this work, we construct a proof system GL*, which corresponds to L. Connections to the theory VL (Zambella"s Sp0 - rec) are also considered. GL* is defined by restricting cuts in the system G*1 . The first restriction is syntactic: the cut formulas have to be Sigma CNF(2), which is a new class of formulas. Unfortunately that is not enough; the free variables in cut formulas must be restricted to parameter variables. We prove that GL* corresponds to VL by translating theorems of VL into tautologies with small GL* proof.

The Physical Object
Pagination50 leaves.
Number of Pages50
ID Numbers
Open LibraryOL20238105M
ISBN 100494021764

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GL* by Steven Perron Download PDF EPUB FB2

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