Translating Between Implicit and Explicit Versions of Proof

3 It is believed in the crypto-currency community that a 51% attack is less likely to occur in a POS system than in a POW system because it would be more expensive (in direct

Keywords: Proof theory, cographs, graph modules, prime graphs, cut elimination, deep inference, splitting, analycity ACM Reference Format:.. Matteo Acclavio, Ross Horne, and

A short proof that adding some permutation rules to beta preserves SN..

Note that this theorem will be only used with unary substitutions but its proof needs the general case because, starting with a unary substitution, it may happen that we have to use

We present the implementation of the framework in a prolog-like language and show how it is possible to specialize it in a simple and modular way in order to cover different

By forging such a direct link between a proof checking kernel and a logic program, that kernel has access to backtracking search and unification, which means that it can be used

The simultaneous development of similar uses of intuitionistic logic within the logic programming (proof search) setting provided a great deal of confidence that in- tuitionistic

As a result of this unity, the sequent calculus provided logic programming a natural framework in which proof-search could be described for much richer logics (first-order