scholarly journals Ergo 6: A Generic Proof Engine that Uses Prolog Proof Technology

2002 ◽  
Vol 5 ◽  
pp. 194-219 ◽  
Author(s):  
Mark Utting ◽  
Peter Robinson ◽  
Ray Nickson
Keyword(s):  
Software Engineering ◽  
Design Principles ◽  
Theorem Prover ◽  
Major Theme ◽  
Formal Reasoning ◽  
Engineering Applications ◽  
Reasoning Tasks ◽  
Generic Proof

AbstractTo support formal reasoning in mathematical and software engineering applications, it is desirable to have a generic prover that can be instantiated with a range of logics. This allows the prover to be applied to a wider variety of reasoning tasks than a fixed-logic prover. This paper describes the design principles and the architecture of the latest version of the Ergo proof engine, Ergo 6. Ergo 6 is a generic interactive theorem prover, similar to Isabelle, but with better support for proving schematic theorems with user-defined constraints, and with a different approach to handling variable scoping. A major theme of the paper is that Prolog implementation technology can be generalized to obtain efficient implementations of generic proof engines. This is demonstrated via a Qu-Prolog implementation of Ergo 6.

Evaluation Opportunities in Mechanized Theories

10.29007/7kx8 ◽  
2018 ◽  
Author(s):  
Joe Hurd
Keyword(s):  
Mathematical Theory ◽  
Theorem Prover ◽  
Mechanized Mathematics ◽  
Reasoning Tasks

This invited talk will look at logic solvers through the application lens of constructing and processing a theory library of mechanized mathematics. In fact, constructing and processing theories are two distinct applications, and each will be considered in turn. Construction is carried out by formalizing a mathematical theory using an interactive theorem prover, and logic solvers can remove much of the drudgery by automating common reasoning tasks. At the theory library level, logic solvers can provide assistance with theory engineering tasks such as compressing theories, managing dependencies, and constructing new theories from reusable theory components.

Formal Methods in Software Engineering

2005 ◽  
pp. 1205-1211 ◽  
Author(s):  
Aristides Dasso ◽  
Ana Funes
Keyword(s):  
Software Engineering ◽  
Formal Methods ◽  
General Rule ◽  
Engineering Applications

As a general rule, all engineering applications use mathematics or mathematical tools as a basis for their development. However, software engineering is an exception to this rule.

Applying Software Engineering Design Principles to Agile Architecture

2022 ◽  
pp. 330-355
Author(s):  
Chung-Yeung Pang
Keyword(s):  
Software Engineering ◽  
Development Process ◽  
Design Principles ◽  
Design Concept ◽  
Agile Development ◽  
Model Driven ◽  
It Architecture ◽  
It Systems ◽  
Architectural Patterns ◽  
Java Programs

Most enterprise IT systems are very complex with a combination of COBOL and Java programs running on multiple platforms. What is needed is a solid IT architecture that supports the operation and growth of a cross-platform IT system. It must enable the iterative and incremental development of applications that are foreseen in an agile development process. The design concept of such an architecture with its infrastructure and development tool is presented in this chapter. This design concept is based on the design principles and architectural patterns of software engineering. The architecture is a combination of layered, component-based, and service-oriented architectural patterns. The agile development process is based on a model-driven approach. The architecture and development approaches were first introduced in 2004. Since then, many applications have been developed on time and within budget.

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