Note on Deduction Theorems in Contraction-Free Logics

4 pages•Published: March 25, 2013

Abstract

In this short paper we present a finer analysis of the variants of Local Deduction Theorem in contraction-free logics. We define some natural generalisations called Implicational Deduction Theorems and study their basic properties. The hierarchy of classes of logics defined by these theorems is presented.

Keyphrases: bci logic, contraction free logics, local deduction theorems

In: Andrei Voronkov, Geoff Sutcliffe, Matthias Baaz and Christian Fermüller (editors). LPAR-17-short. short papers for 17th International Conference on Logic for Programming, Artificial intelligence, and Reasoning., vol 13, pages 26-29.

Links:	https://easychair.org/publications/paper/7V
	https://doi.org/10.29007/c66c

BibTeX entry

@inproceedings{LPAR-17-short:Note_Deduction_Theorems_Contraction,
  author    = {Karel Chvalovský and Petr Cintula},
  title     = {Note on Deduction Theorems in Contraction-Free Logics},
  booktitle = {LPAR-17-short. short papers for 17th International Conference on Logic for Programming, Artificial intelligence, and Reasoning.},
  editor    = {Andrei Voronkov and Geoff Sutcliffe and Matthias Baaz and Christian Fermüller},
  series    = {EPiC Series in Computing},
  volume    = {13},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/7V},
  doi       = {10.29007/c66c},
  pages     = {26-29},
  year      = {2013}}

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