Disentangling Parallelism and Interference in Game Semantics

Game semantics is a denotational semantics presenting compositionally the computational behaviour of various kinds of effectful programs. One of its celebrated achievement is to have obtained full abstraction results for programming languages with a variety of computational effects, in a single fram...

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Veröffentlicht in:Logical methods in computer science Jg. 20, Issue 3
Hauptverfasser: Castellan, Simon, Clairambault, Pierre
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Logical Methods in Computer Science Association 18.09.2024
Logical Methods in Computer Science e.V
Schlagworte:
Computer Science
computer science - logic in computer science
computer science - programming languages
Logic in Computer Science
Programming Languages
concurrent games
game semantics
Denotational semantics
ISSN:1860-5974, 1860-5974
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Zusammenfassung:Game semantics is a denotational semantics presenting compositionally the computational behaviour of various kinds of effectful programs. One of its celebrated achievement is to have obtained full abstraction results for programming languages with a variety of computational effects, in a single framework. This is known as the semantic cube or Abramsky's cube, which for sequential deterministic programs establishes a correspondence between certain conditions on strategies (''innocence'', ''well-bracketing'', ''visibility'') and the absence of matching computational effects. Outside of the sequential deterministic realm, there are still a wealth of game semantics-based full abstraction results; but they no longer fit in a unified canvas. In particular, Ghica and Murawski's fully abstract model for shared state concurrency (IA) does not have a matching notion of pure parallel program-we say that parallelism and interference (i.e. state plus semaphores) are entangled. In this paper we construct a causal version of Ghica and Murawski's model, also fully abstract for IA. We provide compositional conditions parallel innocence and sequentiality, respectively banning interference and parallelism, and leading to four full abstraction results. To our knowledge, this is the first extension of Abramsky's semantic cube programme beyond the sequential deterministic world.
ISSN:1860-5974
1860-5974
DOI:10.46298/lmcs-20(3:24)2024