This book investigates the possible linguistic applications of proof nets, redundancy free representations of proofs, which were introduced by Girard for linear logic. We will adapt the notion of proof net to allow the formulation of a proof net calculus which is soundand complete for the multimodal Lambek calculus. Finally, we will investigate the computational and complexity theoretic consequences of this calculus and give an introduction to a practical grammar development tool based on proof nets
International audienceSince the very beginning of the theory of linear logic it is known how to repr...
The goal of this paper is to demonstrate how the very rich notion of proofnet may be used, in the fr...
Abstract. We present δ-calculus, a computational interpretation of Lin-ear Logic, in the form of a t...
Since the introduction of proof nets as an elegant proof theory for the multiplicative fragment of l...
We propose to represent the syntax and semantics of natural languages with labelled proof nets in th...
Girard (1987) introduced proof nets as a syntax of linear proofs which eliminates inessential rule o...
The linear logic (Girard, 1987) provides a power-ful framework to express categorial grammars (Aj-du...
Moot & Puite (2002) have introduced proof nets for the multimodal Lambek calculus NL3R. Since th...
ABSTRACT. We present a novel way of using proof nets for multimodal categorial grammars, which provi...
International audienceWe present a gentle introduction to the technical content of Girard's Transcen...
International audienceThis paper presents a simple and intuitive syntax for proof nets of the multip...
This paper concerns a logical approach to natural language parsing based on proof nets (PNs), i.e. d...
. We state and prove Roorda's interpolation theorem in the framework of proof-net theory. This ...
We consider the task of theorem proving in Lambek calculi and their generalisation to "multimodal re...
Draft paper of a proposal to use proof nets for display logic by generalising techniques used for th...
International audienceSince the very beginning of the theory of linear logic it is known how to repr...
The goal of this paper is to demonstrate how the very rich notion of proofnet may be used, in the fr...
Abstract. We present δ-calculus, a computational interpretation of Lin-ear Logic, in the form of a t...
Since the introduction of proof nets as an elegant proof theory for the multiplicative fragment of l...
We propose to represent the syntax and semantics of natural languages with labelled proof nets in th...
Girard (1987) introduced proof nets as a syntax of linear proofs which eliminates inessential rule o...
The linear logic (Girard, 1987) provides a power-ful framework to express categorial grammars (Aj-du...
Moot & Puite (2002) have introduced proof nets for the multimodal Lambek calculus NL3R. Since th...
ABSTRACT. We present a novel way of using proof nets for multimodal categorial grammars, which provi...
International audienceWe present a gentle introduction to the technical content of Girard's Transcen...
International audienceThis paper presents a simple and intuitive syntax for proof nets of the multip...
This paper concerns a logical approach to natural language parsing based on proof nets (PNs), i.e. d...
. We state and prove Roorda's interpolation theorem in the framework of proof-net theory. This ...
We consider the task of theorem proving in Lambek calculi and their generalisation to "multimodal re...
Draft paper of a proposal to use proof nets for display logic by generalising techniques used for th...
International audienceSince the very beginning of the theory of linear logic it is known how to repr...
The goal of this paper is to demonstrate how the very rich notion of proofnet may be used, in the fr...
Abstract. We present δ-calculus, a computational interpretation of Lin-ear Logic, in the form of a t...