### Abstract

Language | English |
---|---|

Title of host publication | Proceedings of the 21st International Conference on Rewriting Techniques and Applications |

Place of Publication | Dagstuhl, Germany |

Publisher | Leibniz International Proceedings in Informatics |

Pages | 135-150 |

Number of pages | 16 |

Volume | 6 |

DOIs | |

Status | Published - 2010 |

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### Cite this

*Proceedings of the 21st International Conference on Rewriting Techniques and Applications*(Vol. 6, pp. 135-150). Dagstuhl, Germany: Leibniz International Proceedings in Informatics. DOI: 10.4230/LIPIcs.RTA.2010.135

**A proof calculus which reduces syntactic bureaucracy.** / Guglielmi, Alessio; Gundersen, Tom; Parigot, M.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Proceedings of the 21st International Conference on Rewriting Techniques and Applications.*vol. 6, Leibniz International Proceedings in Informatics, Dagstuhl, Germany, pp. 135-150. DOI: 10.4230/LIPIcs.RTA.2010.135

}

TY - CHAP

T1 - A proof calculus which reduces syntactic bureaucracy

AU - Guglielmi,Alessio

AU - Gundersen,Tom

AU - Parigot,M

PY - 2010

Y1 - 2010

N2 - In usual proof systems, like the sequent calculus, only a very limited way of combining proofs is available through the tree structure. We present in this paper a logic-independent proof calculus, where proofs can be freely composed by connectives, and prove its basic properties. The main advantage of this proof calculus is that it allows to avoid certain types of syntactic bureaucracy inherent to all usual proof systems, in particular the sequent calculus. Proofs in this system closely reflect their atomic flow, which traces the behaviour of atoms through structural rules. The general definition is illustrated by the standard deep-inference system for propositional logic, for which there are known rewriting techniques that achieve cut elimination based only on the information in atomic flows.

AB - In usual proof systems, like the sequent calculus, only a very limited way of combining proofs is available through the tree structure. We present in this paper a logic-independent proof calculus, where proofs can be freely composed by connectives, and prove its basic properties. The main advantage of this proof calculus is that it allows to avoid certain types of syntactic bureaucracy inherent to all usual proof systems, in particular the sequent calculus. Proofs in this system closely reflect their atomic flow, which traces the behaviour of atoms through structural rules. The general definition is illustrated by the standard deep-inference system for propositional logic, for which there are known rewriting techniques that achieve cut elimination based only on the information in atomic flows.

UR - http://dx.doi.org/10.4230/LIPIcs.RTA.2010.135

U2 - 10.4230/LIPIcs.RTA.2010.135

DO - 10.4230/LIPIcs.RTA.2010.135

M3 - Chapter

VL - 6

SP - 135

EP - 150

BT - Proceedings of the 21st International Conference on Rewriting Techniques and Applications

PB - Leibniz International Proceedings in Informatics

CY - Dagstuhl, Germany

ER -