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- Yves Lafont
- POPL
- 1989

We propose a new kind of programming language, with the following features:
<list><item>a simple graph rewriting semantics,
</item><item>a complete symmetry between constructors and destructors,
</item><item>a type discipline for deterministic and deadlock-free (microscopic) parallelism.
</item></list><italic>Interaction nets</italic> generalize Girard's… (More)

- Yves Lafont
- Theor. Comput. Sci.
- 2004

We present a subsystem of second order Linear Logic with restricted rules for exponentials so that proofs correspond to polynomial time algorithms, and vice-versa.

- Yves Lafont
- 2003

Boolean circuits are used to represent programs on finite data. Reversible Boolean circuits and quantum Boolean circuits have been introduced to modelize some physical aspects of computation. Those notions are essential in complexity theory, but we claim that a deep mathematical theory is needed to make progress in this area. For that purpose, the recent… (More)

- Yves Lafont
- Inf. Comput.
- 1997

It is shown that a very simple system of interaction com-binators, with only 3 symbols and 6 rules, is a universal model of distributed computation, in a sense that will be made precise. This paper is the continuation of the au-thor's work on interaction nets, inspired by Girard's proof nets for linear logic, but no preliminary knowledge of these topics is… (More)

- Yves Lafont
- Theor. Comput. Sci.
- 1988

- Jean-Yves Girard, Yves Lafont
- TAPSOFT, Vol.2
- 1987

- Yves Lafont
- J. Symb. Log.
- 1997

To show that a formula A is not provable in propositional classical logic, it suuces to exhibit a nite boolean model which does not satisfy A. A similar property holds in the intuitionistic case, with Kripke models instead of boolean models (see for instance TvD88]). One says that the propositional classical logic and the propositional intuitionistic logic… (More)

- Yves Lafont
- 1994

- Yves Lafont, Thomas Streicher
- LICS
- 1991

Girard’s linear logic is a promising tool for understanding phenomena of interaction and concurrency in computing. This logic is “classical” in the sense that hypotheses can be considered as (negated) conclusions, and vice versa. So it is not possible to interpret formulae as sets and proofs as functions, as in the intuitionistic case. Here, we propose a… (More)

- Yves Lafont
- J. Symb. Log.
- 1996

Recently, Lincoln, Scedrov and Shankar showed that the multi-plicative fragment of second order intuitionistic linear logic is undecidable, using an encoding of second order intuitionistic logic. Their argument applies to the multiplicative-additive fragment, but it does not work in the classical case, because second order classical logic is decidable. Here… (More)