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...
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...
or representation theory of groups), and even borrows abstract geometrical concepts like Euler characteristic or Grothendieck ring. However, the most stimulating for proof complexi...
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 ...
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...