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MKM
2009
Springer
14 years 1 months ago
Math-Literate Computers
Sketch recognizers are an important part of the design of natural interfaces for many domains. However, current recognition technology is generally quite crude and difficult to w...
Dorothea Blostein
MKM
2009
Springer
14 years 3 months ago
Exploring a Quantum Theory with Graph Rewriting and Computer Algebra
Graphical languages provide a powerful tool for describing the behaviour of quantum systems. While the use of graphs vastly reduces the complexity of many calculations [4,10], manu...
Aleks Kissinger
MKM
2009
Springer
14 years 3 months ago
Algorithms for the Functional Decomposition of Laurent Polynomials
Abstract. Recent work has detailed the conditions under which univariate Laurent polynomials have functional decompositions. This paper presents algorithms to compute such univaria...
Stephen M. Watt
MKM
2009
Springer
14 years 1 months ago
Formal Proof: Reconciling Correctness and Understanding
Hilbert’s concept of formal proof is an ideal of rigour for mathematics which has important applications in mathematical logic, but seems irrelevant for the practice of mathemati...
Cristian S. Calude, Christine Müller
MKM
2009
Springer
14 years 3 months ago
Combining Coq and Gappa for Certifying Floating-Point Programs
Abstract. Formal verification of numerical programs is notoriously difficult. On the one hand, there exist automatic tools specialized in floatingpoint arithmetic, such as Gappa...
Sylvie Boldo, Jean-Christophe Filliâtre, Gui...