### Abstract

Original language | English |
---|---|

Place of Publication | Technische Universitaet Dresden |

Publication status | Published - 2004 |

### Fingerprint

### Cite this

*A Non-commutative Extension of Multiplicative Exponential Linear Logic*. Technische Universitaet Dresden.

**A Non-commutative Extension of Multiplicative Exponential Linear Logic.** / Guglielmi, Alessio; Straßburger, L.

Research output: Working paper › Discussion paper

}

TY - UNPB

T1 - A Non-commutative Extension of Multiplicative Exponential Linear Logic

AU - Guglielmi, Alessio

AU - Straßburger, L

PY - 2004

Y1 - 2004

N2 - We extend multiplicative exponential linear logic (MELL) by a noncommutative, self-dual logical operator. The extended system, called NEL, is defined in the formalism of the calculus of structures, which is a generalisation of the sequent calculus and provides a more refined analysis of proofs. We are then able to extend the expressiveness of MELL by modelling a broad notion of sequentiality. We show some proof theoretical results: decomposition and cut elimination. The new operator represents a significant challenge: to get our results we use here for the first time some novel techniques, which constitute a uniform and modular approach to cut elimination, contrary to what is possible in

AB - We extend multiplicative exponential linear logic (MELL) by a noncommutative, self-dual logical operator. The extended system, called NEL, is defined in the formalism of the calculus of structures, which is a generalisation of the sequent calculus and provides a more refined analysis of proofs. We are then able to extend the expressiveness of MELL by modelling a broad notion of sequentiality. We show some proof theoretical results: decomposition and cut elimination. The new operator represents a significant challenge: to get our results we use here for the first time some novel techniques, which constitute a uniform and modular approach to cut elimination, contrary to what is possible in

UR - http://www.ps.uni-sb.de/~lutz/papers/NELbig.pdf

M3 - Discussion paper

BT - A Non-commutative Extension of Multiplicative Exponential Linear Logic

CY - Technische Universitaet Dresden

ER -