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- Christoph Kreitz, Klaus Weihrauch
- Theor. Comput. Sci.
- 1985

An approach for a simple, general, and unified theory of effectivity on sets with cardinality not greater than that of the continuum is presented. A standard theory of effectivity on F = {f : N 3 N} has been developed in a previous paper. By representations 6: B-* M this theory is extended to other sets M. Topological and recursion theoretical properties of… (More)

- Xiaoming Liu, Christoph Kreitz, +4 authors Robert L. Constable
- SOSP
- 1999

Although building systems from components has attractions, this approach also has problems. Can we be sure that a certain configuration of components is correct? Can it perform as well as a monolithic system? Our paper answers these questions for the Ensemble communication architecture by showing how, with help of the Nuprl formal system, configurations may… (More)

Preface This manual describes the first prototype of a new kind of system which we call a Formal Digital Library (FDL). We designed the system and assembled the prototype as part of a research project sponsored by the Office of Naval Research entitled Building Interactive Digital Libraries of Formal Algorithmic Knowledge. A key purpose of the prototype… (More)

- Ken Birman, Mark Hayden, +4 authors Werner Vogels
- 2001

– The Horus and Ensemble efforts culminated a multi-year Cornell research program in process group communication used for fault-tolerance, security and adaptation. Our intent was to understand the degree to which a single system could offer flexibility and yet maintain high performance, to explore the integration of fault-tolerance with security and… (More)

- Stuart F. Allen, Mark Bickford, +4 authors E. Moran
- J. Applied Logic
- 2006

For twenty years the Nuprl (" new pearl ") system has been used to develop software systems and formal theories of computational mathematics. It has also been used to explore and implement computational type theory (CTT) – a formal theory of computation closely related to Martin-Löf's intuitionistic type theory (ITT) and to the calculus of inductive… (More)

- Christoph Kreitz
- 2002

- Jason Hickey, Aleksey Nogin, +12 authors Xin Yu
- TPHOLs
- 2003

MetaPRL is the latest system to come out of over twenty five years of research by the Cornell PRL group. While initially created at Cornell, MetaPRL is currently a collaborative project involving several universities in several countries. The MetaPRL system combines the properties of an interactive LCF-style tactic-based proof assistant, a logical… (More)

- Stephan Schmitt, Lori Lorigo, Christoph Kreitz, Aleksey Nogin
- IJCAR
- 2001

JProver is a first-order intuitionistic theorem prover that creates sequent-style proof objects and can serve as a proof engine in interactive proof assistants with expressive constructive logics. This paper gives a brief overview of JProver's proof technique, the generation of proof objects, and its integration into the Nuprl proof development system.

- Thomas Raths, Jens Otten, Christoph Kreitz
- J. Autom. Reasoning
- 2007

The Intuitionistic Logic Theorem Proving (ILTP) library provides a platform for testing and benchmarking automated theorem proving (ATP) systems for intuitionistic propositional and first-order logic. It includes about 2800 problems in a standardized syntax from 24 problem domains. For each problem an intuition-istic status and difficulty rating were… (More)

- Klaus Weihrauch, Christoph Kreitz
- Ann. Pure Appl. Logic
- 1987

In previous papers we have presented a unified Type 2 theory of computability and continuity and a theory of representations. In this paper the concepts developed so far are used for the foundation of a new kind of constructive analysis. Different standard representations of the real numbers are compared. It turns out that the crucial differences are of… (More)