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Interactive Theorem Proving - Second International Conference, ITP 2011, Berg en Dal, The Netherlands, August 22-25, 2011, Proceedings (Paperback)
Marko Van Eekelen, Herman Geuvers, Julien Schmaltz, Freek Wiedijk
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R1,589
Discovery Miles 15 890
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Ships in 10 - 15 working days
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This book constitutes the refereed proceedings of the Second
International Conference on Interactive Theorem proving, ITP 2011,
held in Berg en Dal, The Netherlands, in August 2011.
The 25 revised full papers presented were carefully reviewed and
selected from 50 submissions. Among the topics covered are
counterexample generation, verification, validation, term
rewriting, theorem proving, computability theory, translations from
one formalism to another, and cooperation between tools. Several
verification case studies were presented, with applications to
computational geometry, unification, real analysis, etc.
This book constitutes the thoroughly refereed post-proceedings of the Second International Workshop of the TYPES Working Group, TYPES 2002, held in Berg en Dal, The Netherlands in April 2002. The 18 revised full papers presented were carefully selected during two rounds of reviewing and improvement. All current issues in type theory and type systems and their applications to programming, systems design, and proof theory are addressed. Among the systems dealt with are Coq and Isar/HOL.
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Intelligent Computer Mathematics - 10th International Conference, CICM 2017, Edinburgh, UK, July 17-21, 2017, Proceedings (Paperback, 1st ed. 2017)
Herman Geuvers, Matthew England, Osman Hasan, Florian Rabe, Olaf Teschke
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R2,727
Discovery Miles 27 270
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Ships in 10 - 15 working days
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This book constitutes the refereed proceedings of the 10th
International Conference on Intelligent Computer Mathematics, CICM
2017, held in Edinburgh, Scotland, in July 2017. The 22 full papers
and 3 abstracts of invited papers presented were carefully reviewed
and selected from a total of 40 submissions. The papers are
organized in three tracks: the Calculemus track examining the
integration of symbolic computation and mechanized reasoning; the
Digital Mathematics Libraries track dealing with math-aware
technologies, standards, algorithms, and processes; the
Mathematical Knowledge Management track being concerned with all
aspects of managing mathematical knowledge, in informal,
semi-formal, and formal settings. An additional track Systems and
Projects contains descriptions of systems and relevant projects,
both of which are key to a research topic where theory and practice
interact on explicitly represented knowledge.
Type theory is a fast-evolving field at the crossroads of logic,
computer science and mathematics. This gentle step-by-step
introduction is ideal for graduate students and researchers who
need to understand the ins and outs of the mathematical machinery,
the role of logical rules therein, the essential contribution of
definitions and the decisive nature of well-structured proofs. The
authors begin with untyped lambda calculus and proceed to several
fundamental type systems culminating in the well-known and powerful
Calculus of Constructions. The book also covers the essence of
proof checking and proof development, and the use of dependent type
theory to formalize mathematics. The only prerequisites are a good
knowledge of undergraduate algebra and analysis. Carefully chosen
examples illustrate the theory throughout. Each chapter ends with a
summary of the content, some historical context, suggestions for
further reading and a selection of exercises to help readers
familiarize themselves with the material.
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