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Mathematics - Algebra | Towards Mechanized Mathematical Assistants - 14th Symposium, Calculemus 2007, 6th International

Towards Mechanized Mathematical Assistants

14th Symposium, Calculemus 2007, 6th International Conference, MKM 2007, Hagenberg, Austria, June 27-30, 2007, Proceedings

Kauers, M., Kerber, M., Miner, R., Windsteiger, W. (Eds.)

2007, XIII, 410 p.

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This book constitutes the refereed proceedings of the 6th International Conference on Mathematical Knowledge Management, MKM 2007, and the 14th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, Calculemus 2006, held in Hagenberg, Austria in June 2007 as events of the RISC Summer 2007, organized by the Research Institute for Symbolic Computation.

The 10 revised full papers from 23 submissions for Calculemus 2007 and 19 revised full papers, plus abstracts of two invited talks, selected from 52 submissions to MKM 2007 were carefully reviewed and selected for a joint presentation in the book. The papers cover different aspects of traditional branches in CS such as computer algebra and theorem proving, as well as newly emerging ones such as user interfaces, knowledge management, and theory exploration. Thus facilitating the development of integrated mechanized mathematical assistants.

Content Level » Research

Keywords » Algebra - Arithmetic - Calculation - Homological algebra - automated deduction systems - automated theory formation - calculus - e-learning - formal logic - formal proof - knowledge discovery - knowledge management - mathe - mathematical assistant systems - theorem

Related subjects » Algebra - Artificial Intelligence - Communication Networks - Database Management & Information Retrieval

Table of contents 

Contributions to Calculemus 2007.- Executing in Common Lisp, Proving in ACL2.- A Rational Reconstruction of a System for Experimental Mathematics.- Context Aware Calculation and Deduction.- Towards Constructive Homological Algebra in Type Theory.- What Might “Understand a Function” Mean?.- Biform Theories in Chiron.- Automatic Synthesis of Decision Procedures: A Case Study of Ground and Linear Arithmetic.- Certified Computer Algebra on Top of an Interactive Theorem Prover.- Quantifier Elimination for Approximate Factorization of Linear Partial Differential Operators.- Rule-Based Simplification in Vector-Product Spaces.- Contributions to MKM 2007.- Mathematics and Scientific Markup.- The On-Line Encyclopedia of Integer Sequences.- First Steps on Using OpenMath to Add Proving Capabilities to Standard Dynamic Geometry Systems.- Higher order Proof Reconstruction from Paramodulation-Based Refutations: The Unit Equality Case.- A Framework for Interactive Proof.- Supporting User-Defined Notations When Integrating Scientific Text-Editors with Proof Assistance Systems.- Mizar Course in Logic and Set Theory.- Using Formal Concept Analysis in Mathematical Discovery.- Cooperative Repositories for Formal Proofs.- Revisions as an Essential Tool to Maintain Mathematical Repositories.- The Layers of Logiweb.- Formal Representation of Mathematics in a Dependently Typed Set Theory.- Restoring Natural Language as a Computerised Mathematics Input Method.- Narrative Structure of Mathematical Texts.- Reexamining the MKM Value Proposition: From Math Web Search to Math Web ReSearch.- Alternative Aggregates in Mizar.- An Approach to Mathematical Search Through Query Formulation and Data Normalization.- Extended Formula Normalization for ?-Retrieval and Sharing of Mathematical Knowledge.- Towards Mathematical Knowledge Management for Electrical Engineering.- Spurious Disambiguation Error Detection.- Methods of Relevance Ranking and Hit-content Generation in Math Search.

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