— Craig interpolants are often used to approximate inductive invariants of transition systems. Arithmetic relationships between numeric variables require word-level interpolants,...
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 ...
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...
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 ...
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...