Proof General meets IsaWin: Combining Text-Based And Graphical User Interfaces

We describe the design and prototype implementation of a combination of theorem prover interface technologies. On one side, we take from Proof General the idea of a prover-independent interaction language and its proposed implementation within the PG Kit middleware architecture. On the other side, we take from IsaWin a sophisticated graphical metaphor using direct manipulation for developing proofs. We believe that the resulting system will provide a powerful, robust and generic environment for developing proofs within interactive proof assistants that also opens the way for studying and implementing new mechanisms for managing interactive proof development.

A proof-centric approach to mathematical assistants

We present an approach to mathematical assistants which uses readable, executable proof scripts as the central language for interaction. We examine an implementation that combines the Isar language, the Isabelle theorem prover and the IsaPlanner proof planner. We argue that this synergy provides a flexible environment for the exploration, certification, and presentation of mathematical proof

Integrating interactive tools using concurrent haskell and synchronous events

In this paper we describe how existing interactive tools can be integrated using Concurrent Haskell and synchronous events. The base technology is a higher-order approach to concurrency as in CML extended with a framework for handling external events of the environment. These events are represented as first class synchronous events to achieve a uniform, composable approach to event handling. Adaptors are interposed between the external event sources and the internal set of listening agents to achieve this degree of abstraction. A substantially improved integration framework compared to existing technology (such as for example the combination of Tcl/Tk with expect) is then provided. With this basis it is for example possible to wrap a GUI around the hugs interpreter with very little work required.Eje: Conferencia latinoamericana de programación funcionalRed de Universidades con Carreras en Informática (RedUNCI

Extracting proofs from documents

Often, theorem checkers like PVS are used to check an existing proof, which is part of some document. Since there is a large difference between the notations used in the documents and the notations used in the theorem checkers, it is usually a laborious task to convert an existing proof into a format which can be checked by a machine. In the system that we propose, the author is assisted in the process of converting an existing proof into the PVS language and having it checked by PVS. 1 Introduction The now-classic ALGOL 60 report [5] recognized three different levels of language: a reference language, a publication language and several hardware representations, whereby the publication language was intended to admit variations on the reference language and was to be used for stating and communicating processes. The importance of publication language ---often referred to nowadays as "pseudo-code"--- is difficult to exaggerate since a publication language is the most effective way..

More About TAS and IsaWin - Tools for Formal Program Development

We present a family of tools for program development and verification, comprising the transformation system TAS and the theorem proving interface IsaWin. Both are based on the theorem prover Isabelle [6], which is used as a generic logical framework here. A graphical user interface, based on the principle of direct manipulation, allows the user to interact with the tool without having to concern himself with the details of the representation within the theorem prover, leaving him to concentrate on the main design decisions of program development or theorem proving. The tools form an integrated system for formal program development, in which TAS is used for transformational program development, and IsaWin for discharging the incurred proof obligations. However, both tools can be used separately as well. Further, the tools are generic over the formal method employed. In this extended abstract, we will first give a brief overview over TAS and IsaWin. Since TAS and I..

Hierarchical contextual reasoning

Computer supported development of proofs requires user interaction even for theorems that are simple by human standards. In this thesis we define a communication infrastructure as a mediator between the user and the automatic reasoning procedures. It is based on a new uniform meta proof theory for contextual reasoning and encompasses most aspects of communication from the presentation of the proof state, via the supply of relevant contextual information about possible proof continuations, to the support for a hierarchical proof development. The proof theory is uniform for a variety of logics. It exploits proof theoretic annotations in formulas for a contextual reasoning style that is as far as possible intuitive for the user while at the same time still adequate for automatic reasoning procedures. Furthermore, concepts are defined to accomodate both the use and the explicit representation of hierarchies that are inherent in problem solving in general.Das computergestuetzte Beweisen von Theoremen erfordert den Eingriff des menschlichen Benutzers selbst fuer nach menschlichen Maßstaeben einfache Theoreme. Diese Arbeit definiert eine Kommunikationsplattform, die eine synergetische Kooperationsform des Benutzers mit dem Beweisverfahren ermöglicht