@**inproceedings**{RISC5472,author = {David M. Cerna and Michael Lettmann},

title = {{Towards a Clausal Analysis of Proof Schemata}},

booktitle = {{SYNASC 2017}},

language = {english},

abstract = {Proof schemata are a variant of \LK-proofs able to simulate various induction schemes in first-order logic by adding so called {\em links} to the standard first-order \LK-calculus. Links allow proofs to reference other proofs, and thus give schemata a recursive structure. {\em Gentzen} style cut-elimination methods, which reduce cuts locally, does not work in the presence of links. However, an alternative method, such as cut-elimination by resolution (CERES), which eliminate cuts globally, is able to reduce cuts over the entire recursive structure simultaneously. Unfortunately, analysis of the cut structure of a proof after partial cut-elimination is non-trivial. By extending local methods to proof schemata, we provide such an analysis. },

series = {IEEE Xplore},

pages = {113--120},

isbn_issn = {978-1-5386-2625-2},

year = {2017},

month = {September},

editor = {Tudor Jebelean and Viorel Negru and Dana Petcu and Daniela Zaharie and Tetsuo Ida and Stephan Watt},

refereed = {yes},

length = {8}

}