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» Logic of Proofs for Bounded Arithmetic
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CSL
2004
Springer
14 years 25 days ago
A Third-Order Bounded Arithmetic Theory for PSPACE
We present a novel third-order theory W1 1 of bounded arithmetic suitable for reasoning about PSPACE functions. This theory has the advantages of avoiding the smash function symbol...
Alan Skelley
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...
CIE
2006
Springer
13 years 11 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
BIRTHDAY
1997
Springer
13 years 11 months ago
Expressive Power of Unary Counters
We compare the expressive power on finite models of two extensions of first order logic L with equality. L(Ct) is formed by adding an operator count{x : ϕ}, which builds a term ...
Michael Benedikt, H. Jerome Keisler
JAR
2008
105views more  JAR 2008»
13 years 7 months ago
Proof Synthesis and Reflection for Linear Arithmetic
This article presents detailed implementations of quantifier elimination for both integer and real linear arithmetic for theorem provers. The underlying algorithms are those by Coo...
Amine Chaieb, Tobias Nipkow