The field of automated reasoning contains a plethora of methods and tools, each with its
own language and its community, often evolving separately. These tools express their …

It is the exception that provers share and trust each others proofs. One reason for this is that
different provers structure their proof evidence in remarkably different ways, including, for …

The approach: Provide a framework for defining the semantics of “proof evidence”. A proof
certificate is a particular piece of proof evidence following a given semantic definition. Have …

Consider a world where exporting proof evidence into a declarative, universal, and
permanent format is taken as``feature zero''for computational logic systems. In such a world …

We present the design philosophy of a proof checker based on a notion of foundational
proof certificates. At the heart of this design is a semantics of proof evidence that arises from …

Gentzen solved the decision problem for intuitionistic propositional logic in his doctoral
thesis [31]; this paper reviews some of the subsequent progress. Solutions to the problem …

Theorem provers produce evidence of proof in many different formats, such as proof scripts,
natural deductions, resolution refutations, Herbrand expansions, and equational rewritings …

Constructive logic is acquiring an ever increasing importance in computer science [2, 3, 7, 8,
9]. The majority of the research in this direction is based on the analysis of structural …

The mechanized verification of mathematical proofs is an application of computational logic
that is of importance in both mathematics and computer science. These applications range …

This paper modifies our previous work in combining classical logic with intuitionistic logic
[16, 17] to also include affine linear logic, resulting in a system we call Affine Control Logic. A …