Proof certificates in PVS

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

Using this last one, Riemann has shown that the non trivial zeros of ζ are located sym- metrically with respect to the line <(s) = 1/2, inside the critical strip 0 < <(s)

A type-checker generator In order to provide an efficient and yet simple type checker for the λΠ-calculus modulo we chose to implement it as a type checker generator: a

Other features of λ Prolog (such as support for bindings, substitution, and backtracking search) turn out to be equally important for describing and checking the proof evidence

We have overviewed a foundational approach to designing proof certificates that satisfies the following four desiderata (described in more depth in [15]): they should be (i)

To summarize, our prescription for obtaining compact proof certificates is as follows: (1) start from a focused sequent proof; (2) uniquely name every subformula path in

Second, open markets for proofs can exist where those who need a proof can unambiguously request a proof of a theorem (via an empty certificate) and can unambiguously check that

The augmentations to the LKF inference rules is done in three simple steps: (i) a proof certificate term, denoted by the syntactic variable Ξ is added to every sequent; (ii)