Lutz Straßburger

  Current Position:

Research scientist (in French: chargé de recherche, CR1) at INRIA Research Centre Saclay - Île-de-France and Laboratoire d'Informatique (LIX) within the Parsifal team.

Postal Address:
INRIA Saclay - Île-de-France
1 rue Honoré d'Estienne d'Orves
Bâtiment Alan Turing
Campus de l'École Polytechnique
91120 Palaiseau

Office: 2059
Telephone: +33 (0)1 74 85 42 65
Fax: +33 (0)1 69 33 40 49
Email: lutz AT lix DOT polytechnique DOT fr


theoretical computer science,
proof theory and its applications, in particular, logic programming, functional programming, and software verification,
proof complexity,
deep inference,
category theory




Focused and Synthetic Nested Sequents
with Sonia Marin and Kaustuv Chaudhuri
Pdf        ©Springer-Verlag           January 6, 2016
Proceedings of FoSSaCS 2016 (The official proceedings version is full of mistakes introduced by Springer's "copyeditors" and we strongly recommend reading the authors' versions instead.)
There is also a technical report with full proofs.
No complete linear term rewriting system for propositional logic
with Anupam Das
Pdf        April 26, 2015
Proceedings of RTA 2015
On the Power of Substitution in the Calculus of Structures
with Novak Novaković
Pdf        November 24, 2014
ACM ToCL 16(3:19), 2015
Parametricity and Proving Free Theorems for Functional-Logic Languages
with Stefan Mehner, Daniel Seidel, and Janis Voigtländer
Pdf        August 24, 2014
In proceedings of PPDP 2014
Label-free Modular Systems for Classical and Intuitionistic Modal Logics
with Sonia Marin
Pdf        June 6, 2014
AiML 2014
Proof nets and semi-⋆-autonomous categories
with Willem Heijltjes
Pdf        May 9, 2014
Mathematical Structures in Computer Science
On Nested Sequents for Constructive Modal Logics
with Ryuta Arisaka and Anupam Das
Pdf        May 17, 2014
LMCS 11 (3:7) 2015
Symmetric Normalisation for Intuitionistic Logic
with Nicolas Guenot
Pdf        May 15, 2014
In proceedings of CSL-LICS 2014.
Herbrand Confluence
Stefan Hetzl
Pdf        December, 2013
Logical Methods in Computer Science 9(4) (2013)

A logical basis for quantum evolution and entanglement
with Richard F. Blute, Alessio Guglielmi, Ivan T. Ivanov, Prakash Panangaden
Pdf        July 18, 2013
Categories and Types in Logic, Language, and Physics --- Essays Dedicated to Jim Lambek on the Occasion of His 90th Birthday
Cut Elimination in Nested Sequents for Intuitionistic Modal Logics
Pdf        January 7, 2013
In proceedings of FoSSaCS 2013

Herbrand-Confluence for Cut Elimination in Classical First Order Logic
with Stefan Hetzl
Pdf        June 22, 2012
Appeared in proceedings of CSL'12

Extension without Cut
Pdf (15 pages, accepted for publication in APAL)    July 31, 2012

The Focused Calculus of Structures
with Nicolas Guenot and Kaustuv Chaudhuri
Pdf        June 22, 2011
To appear in proceedings of CSL'11

Towards a Theory of Proofs of Classical Logic
Pdf        December 3, 2010
Habilitation à diriger des recherches
Defense: January 7, 2011

A System of Interaction and Structure V: The Exponentials and Splitting
with Alessio Guglielmi
Pdf       December 3, 2010
(second part of the long version of "A Non-commutative Extension of MELL")
Mathematical Structures in Computer Science, 21(3), pp.563-584, 2011

A System of Interaction and Structure IV: The Exponentials and Decomposition
with Alessio Guglielmi
Pdf    (also available from     July 27, 2010
(first part of the long version of "A Non-commutative Extension of MELL" in LPAR 2002)
ACM ToCL 12(4:23), 2011

Breaking Paths in Atomic Flows for Classical Logic
with Alessio Guglielmi and Tom Gundersen
Pdf       April 29, 2010
(to appear in proceedings of LICS'10)

What is the Problem with Proof Nets for Classical Logic ?
Pdf       April 6, 2010
In proceedings of CiE'10

From Deep Inference to Proof Nets via Cut Elimination
Pdf (preprint)        June 24, 2009
Journal of Logic and Computation 2009; doi: 10.1093/logcom/exp047
Abstract (from the JLC webpage)
Pdf (from the JLC webpage)
(This is the Journal version of "From Deep Inference to Proof Nets" presented at SD'05)

Expanding the realm of systematic proof theory
with Agata Ciabattoni and Kazushige Terui
Pdf       June 22, 2009
(to appear in proceedings of CSL'09)

Modular sequent systems for modal logic
with Kai Brünnler
proceedings of Tableaux 2009, LNCS 5607, pp. 152-166
Attention: This paper contains some serious mistakes. The paper "Label-free Modular Systems for Classical and Intuitionistic Modal Logics" (with Sonia Marin) in AiML 2014 gives more details.

Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic
Pdf (15 pages)    April 10, 2009 (to appear in proceedings of TLCA'09)
Submitted version with 24 pages apendix    January 5, 2009

A Kleene Theorem for Forest Languages
Pdf (12 pages),
   December 17, 2008
In proceedings of LATA'09

The Logic BV and Quantum Causality
with Rick Blute and Prakash Panangaden
Pdf (2 pages)    September 12, 2008
Presented at Trends in Logic VI: Logic and the foundations of physics: space, time and quanta

Deep Inference for Hybrid Logic
Pdf (10 pages, accepted at HyLo'07)    May 15, 2007

A Characterisation of Medial as Rewriting Rule
Pdf (15 pages, accepted at RTA'07)    February 2, 2007
BibTeX entry

Proof Nets and the Identity of Proofs
Lecture notes for the course given at ESSLLI'06.
Pdf (Handout version)    June 27, 2006
Pdf (INRIA Research Report, also available from and
November 2006
BibTeX entry

What could a Boolean category be?
Pdf    June 21, 2006
Short version of "On the Axiomatisation of Boolean Categories with and without Medial".
Presented at Cl&C'06 (Satellite Workshop of ICALP'06).

On the Axiomatisation of Boolean Categories with and without Medial
Pdf    June, 2007
Appeared in Theory and Applications of Categories, Vol. 18, 2007, No. 18, pp 536-601.

From Proof Nets to the Free *-Autonomous Category
with François Lamarche
Journal version of "On Proof Nets for Multiplicative Linear Logic with Units" (see below)
Appeared in Logical Methods in Computer Science, Vol 2 (4:3), pp. 1-44.
Pdf    October 5, 2006    (also available from
BibTeX entry

From Deep Inference to Proof Nets
Pdf        June 16, 2005
Presented at SD'05 (Satellite Workshop of ICALP'05).

What is a logic, and what is a proof ?
Pdf     October 23, 2006
(version for second edition of Logica Universalis, pp. 135-152, ©Birkhäuser)
BibTeX entry

Constructing free Boolean Categories
with François Lamarche
Pdf    (Final version for proceedings)    April 8, 2005
Pdf    (Version with complete proofs)    February 18, 2005

Naming Proofs in Classical Propositional Logic
with François Lamarche
Pdf        ©Springer-Verlag        January 31, 2005
TLCA'05, LNCS 3461, pp. 246-261      BibTeX entry

On Proof Nets for Multiplicative Linear Logic with Units
with François Lamarche
Pdf        ©Springer-Verlag        June 30, 2004
CSL 2004, LNCS 3210, pp. 145-159      BibTeX entry

System NEL is Undecidable
Pdf        August 1, 2003
WoLLIC 2003, Electronic Notes in Theoretical Computer Science 84        BibTeX entry  

Linear Logic and Noncommutativity in the Calculus of Structures
Pdf       Pdf in booklet format        July 25, 2003
PhD thesis, successfully defended on July 24, 2003      BibTeX entry

A Non-commutative Extension of Multiplicative Exponential Linear Logic
with Alessio Guglielmi
Technical Report WV-02-03, TU Dresden
(Now obsolete and replaced by "A System of Interaction and Structure IV: The Exponentials and Decomposition" and "A System of Interaction and Structure V: The Exponentials and Splitting")

A Non-commutative Extension of MELL
with Alessio Guglielmi
Pdf        © Springer-Verlag        August 9, 2002
LPAR 2002, LNAI 2514, pp. 231-246      BibTeX entry

A Local System for Linear Logic
Pdf        © Springer-Verlag        August 9, 2002
LPAR 2002, LNAI 2514, pp. 388-402        BibTeX entry

MELL in the Calculus of Structures
Pdf        October 29, 2001
Theoretical Computer Science, Vol. 309, pp. 213-285     BibTeX entry

Non-commutativity and MELL in the Calculus of Structures
with Alessio Guglielmi
Pdf        © Springer-Verlag        June 28, 2001
CSL 2001, LNCS 2142, pp. 54-68      BibTeX entry

Rational Forest Languages and Sequential Forest Transducers
PostScript      PostScript in booklet format
April 6, 2000
Master's thesis, successfully defended on April 25, 2000      BibTeX entry

  Last update:  February 19, 2016            Lutz Straßburger