Generalized Proof Number Search

To make precise the use of narrowing in the induction process, let us first in- troduce a few concepts and notations. Narrowing will be performed only with rewrite rules,

In his 1859 paper[1], Riemann went further and extended the zeta function ζ(s), by analytical continuation, to an absolutely convergent function in the half plane ℜ (s) > 0, minus

We present a proof of the Generalized Riemann hypothesis (GRH) based on asymptotic expansions and operations on series.. The advan- tage of our method is that it only uses

The main idea behind using the foundational proof certificate (FPC) [9] approach to defining proof evi- dence is that theorem provers output their proof evidence to some

– Plugins can be programmed to drive the kernel, using its API, through the search space towards an answer provable or not provable; soundness of the answer only relies on the

Therefore, this chapter is organised as follows: Section 5.1 recalls the standard presentation of clause tableaux and connection tableaux for propositional logic, as well as

Strategy III is sound only when the tabled entries are co-inductive predicates: furthermore, a proof certificate can always be constructed and it will be essentially a post-fixed

We illustrate several merits of the logical specifications permitted by this logic: they are natural and declarative; they contain no side-conditions concerning names of variables