Publications - Published papers
Please find below publications of our group. Currently, we list 565 papers. Some of the publications are in collaboration with the group of Sonja Prohaska and are also listed in the publication list for her individual group. Access to published papers (
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Product Grammars for Alignment and Folding
Christian Höner zu Siederdissen, Ivo L. Hofacker, Peter F. Stadler
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Status: Published
IEEE/ACM Transactions on Computational Biology and Bioinformatics 99 (2014).
Abstract
We develop a theory of algebraic operations over linear and context-free grammars that makes it possible to combine
simple atomic grammars operating on single sequences into complex, multi-dimensional grammars. We demonstrate the utility of
this framework by constructing the search spaces of complex alignment problems on multiple input sequences explicitly as algebraic
expressions of very simple 1-dimensional grammars. In particular, we provide a fully worked frameshift-aware, semiglobal DNA-protein
alignment algorithm whose grammar is composed of products of small, atomic grammars.
The compiler accompanying our theory makes it easy to experiment with the combination of multiple grammars and different operations.
Composite grammars can be written out in LATEX for documentation and as a guide to implementation of dynamic programming
algorithms. An embedding in Haskell as a domain-specific language makes the theory directly accessible to writing and using grammar
products without the detour of an external compiler.
http://www.bioinf.uni-leipzig.de/Software/gramprod
Keywords
Linear grammar, context free grammar, product structure, multiple alignment, Haskell