Asynchronous games: Innocence without alternation

PA Melliès, S Mimram - International Conference on Concurrency Theory, 2007 - Springer
The notion of innocent strategy was introduced by Hyland and Ong in order to capture the
interactive behaviour of λ-terms and PCF programs. An innocent strategy is defined as an …

Turing machines, transition systems, and interaction

DQ Goldin, SA Smolka, PC Attie… - Information and …, 2004 - Elsevier
This paper presents persistent Turing machines (PTMs), a new way of interpreting Turing-
machine computation, based on dynamic stream semantics. A PTM is a Turing machine that …

Asynchronous games 4: A fully complete model of propositional linear logic

PA Mellies - 20th Annual IEEE Symposium on Logic in …, 2005 - ieeexplore.ieee.org
We construct a denotational model of propositional linear logic based on asynchronous
games and winning uniform innocent strategies. Every formula A is interpreted as an …

Asynchronous games 2: The true concurrency of innocence

PA Melliès - Theoretical Computer Science, 2006 - Elsevier
In game semantics, the higher-order value passing mechanisms of the λ-calculus are
decomposed as sequences of atomic actions exchanged by a Player and its Opponent …

On the models for asynchronous circuit behaviour with OR causality

A Yakovlev, M Kishinevsky, A Kondratyev… - Formal Methods in …, 1996 - Springer
Asynchronous circuits behave like concurrent programs implemented in hardware logic. The
processes in such circuits are synchronised in accordance with the dynamic logical and …

Asynchronous games 2: the true concurrency of innocence

PA Mellies - International Conference on Concurrency Theory, 2004 - Springer
In game semantics, one expresses the higher-order value passing mechanisms of the λ-
calculus as sequences of atomic actions exchanged by a Player and its Opponent in the …

Axiomatic rewriting theory I: A diagrammatic standardization theorem

PA Melliès - Processes, Terms and Cycles: Steps on the Road to …, 2005 - Springer
By extending nondeterministic transition systems with concurrency and copy mechanisms,
Axiomatic Rewriting Theory provides a uniform framework for a variety of rewriting systems …

Directed homotopy in non-positively curved spaces

E Goubault, S Mimram - Logical Methods in Computer …, 2020 - lmcs.episciences.org
A semantics of concurrent programs can be given using precubical sets, in order to study
(higher) commutations between the actions, thus encoding the" geometry" of the space of …

A stability theorem in rewriting theory

PA Mellies - … . Thirteenth Annual IEEE Symposium on Logic in …, 1998 - ieeexplore.ieee.org
One key property of the/spl lambda/-calculus is that there exists a minimal computation (the
head-reduction) M/spl rarr//sup e/V from a/spl lambda/-term M to the set of its head-normal …

Turing machines, transition systems, and interaction

DQ Goldin, SA Smolka, P Wegner - Electronic Notes in Theoretical …, 2002 - Elsevier
We present Persistent Turing Machines (PTMs), a new way of interpreting Turing-machine
computation, one that is both interactive and persistent. We show that the class of PTMs is …