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» On Proofs in System P
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UC
2009
Springer
16 years 1 months ago
Membrane Dissolution and Division in P
Membrane systems with dividing and dissolving membranes are known to solve PSPACE problems in polynomial time. However, we give a P upperbound on an important restriction of such s...
Damien Woods, Niall Murphy, Mario J. Pérez-...
CORR
2010
Springer
140views Education» more  CORR 2010»
15 years 6 months ago
Refinement Types for Logical Frameworks and Their Interpretation as Proof Irrelevance
Refinement types sharpen systems of simple and dependent types by offering expressive means to more precisely classify well-typed terms. We present a system of refinement types for...
William Lovas, Frank Pfenning
LICS
2003
IEEE
15 years 12 months ago
Polynomial-time Algorithms from Ineffective Proofs
We present a constructive procedure for extracting polynomial-time realizers from ineffective proofs of Π0 2theorems in feasible analysis. By ineffective proof we mean a proof wh...
Paulo Oliva
CIE
2006
Springer
15 years 10 months ago
Forcing with Random Variables and Proof Complexity
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
Jan Krajícek
JIIS
2008
104views more  JIIS 2008»
15 years 6 months ago
A framework for checking proofs naturally
We propose a natural framework, called NF, which supports development of formal proofs on a computer. NF is based on a theory of Judgments and Derivations. NF is designed by observ...
Masahiko Sato