The Theorema environment for interactive proof development

Authors:
Florina Piroi;Temur Kutsia
Affiliations:
Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria;Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria
Venue:
LPAR'05 Proceedings of the 12th international conference on Logic for Programming, Artificial Intelligence, and Reasoning
Year:
2005

Citing 12
Cited 1

Implementing mathematics with the Nuprl proof development system

Implementing mathematics with the Nuprl proof development system
Introduction to HOL: a theorem proving environment for higher order logic

Introduction to HOL: a theorem proving environment for higher order logic
Interactive theorem proving: an empirical study of user activity

Journal of Symbolic Computation - Special issue graphical user interfaces and protocols
Proof General: A Generic Tool for Proof Development

TACAS '00 Proceedings of the 6th International Conference on Tools and Algorithms for Construction and Analysis of Systems: Held as Part of the European Joint Conferences on the Theory and Practice of Software, ETAPS 2000
A New Interface for HOL - Ideas, Issues and Implementation

Proceedings of the 8th International Workshop on Higher Order Logic Theorem Proving and Its Applications
Hauptvortrag: Quantifier elimination for real closed fields by cylindrical algebraic decomposition

Proceedings of the 2nd GI Conference on Automata Theory and Formal Languages
The PCS Prover in THEOREMA

Computer Aided Systems Theory - EUROCAST 2001-Revised Papers
Comparing Mathematical Provers

MKM '03 Proceedings of the Second International Conference on Mathematical Knowledge Management
The Mathematica Book

The Mathematica Book
Interactive Theorem Proving and Program Development

Interactive Theorem Proving and Program Development
Thoughts on Requirements and Design Issues of User Interfaces for Proof Assistants

Electronic Notes in Theoretical Computer Science (ENTCS)
A new symbolic method for solving linear two-point boundary value problems on the level of operators

Journal of Symbolic Computation

Mathscape and molecular integrals

Journal of Symbolic Computation

Quantified Score

Hi-index	0.00

Visualization

Abstract

We describe an environment that allows the users of the Theorema system to flexibly control aspects of computer-supported proof development. The environment supports the display and manipulation of proof trees and proof situations, logs the user activities (commands communicated with the system during the proving session), and presents (also unfinished) proofs in a human-oriented style. In particular, the user can navigate through the proof object, expand/remove proof branches, provide witness terms, develop several proofs concurrently, proceed step by step or automatically and so on. The environment enhances the effectiveness and flexibility of the reasoners of the Theorema system.