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ECCC
2010
72views more  ECCC 2010»
13 years 6 months ago
Paris-Harrington tautologies
We initiate the study of the proof complexity of propositional encoding of (weak cases of) concrete independence results. In particular we study the proof complexity of Paris-Harr...
Lorenzo Carlucci, Nicola Galesi, Massimo Lauria
MLQ
1998
61views more  MLQ 1998»
13 years 7 months ago
Extracting Algorithms from Intuitionistic Proofs
This paper presents a new method – which does not rely on the cut-elimination theorem – for characterizing the provably total functions of certain intuitionistic subsystems of ...
Fernando Ferreira, António Marques
CORR
2008
Springer
105views Education» more  CORR 2008»
13 years 7 months ago
Certifying floating-point implementations using Gappa
High confidence in floating-point programs requires proving numerical properties of final and intermediate values. One may need to guarantee that a value stays within some range, ...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
POPL
2012
ACM
12 years 3 months ago
Playing in the grey area of proofs
Interpolation is an important technique in verification and static analysis of programs. In particular, interpolants extracted from proofs of various properties are used in invar...
Krystof Hoder, Laura Kovács, Andrei Voronko...
CORR
2010
Springer
143views Education» more  CORR 2010»
13 years 7 months ago
The Complexity of Proving the Discrete Jordan Curve Theorem
The Jordan Curve Theorem (JCT) states that a simple closed curve divides the plane into exactly two connected regions. We formalize and prove the theorem in the context of grid gr...
Phuong Nguyen, Stephen Cook