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» Logic of Proofs for Bounded Arithmetic
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FMCAD
2007
Springer
15 years 5 months ago
Lifting Propositional Interpolants to the Word-Level
— Craig interpolants are often used to approximate inductive invariants of transition systems. Arithmetic relationships between numeric variables require word-level interpolants,...
Daniel Kroening, Georg Weissenbacher
CSL
2001
Springer
15 years 4 months ago
On a Generalisation of Herbrand's Theorem
In this paper we investigate the purely logical rule of term induction, i.e. induction deriving numerals instead of arbitrary terms. In this system it is not possible to bound the ...
Matthias Baaz, Georg Moser
CSL
2005
Springer
15 years 5 months ago
A Propositional Proof System for Log Space
The proof system G∗ 0 of the quantified propositional calculus corresponds to NC1 , and G∗ 1 corresponds to P, but no formula-based proof system that corresponds log space rea...
Steven Perron
LATIN
2004
Springer
15 years 5 months ago
Approximating the Expressive Power of Logics in Finite Models
Abstract. We present a probability logic (essentially a first order language extended with quantifiers that count the fraction of elements in a model that satisfy a first order ...
Argimiro Arratia, Carlos E. Ortiz
TYPES
1998
Springer
15 years 3 months ago
Proof Normalization Modulo
We define a generic notion of cut that applies to many first-order theories. We prove a generic cut elimination theorem showing that the cut elimination property holds for all theo...
Gilles Dowek, Benjamin Werner