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Complete trace models of state and control

Abstract:

We consider a hierarchy of four typed call-by-value languages with either higher-order or ground-type references and with either call/cc or no control operator.

Our first result is a fully abstract trace model for the most expressive setting, featuring both higher-order references and call/cc , constructed in the spirit of operational game semantics. Next we examine the impact of suppressing higher-order references and callcc in contexts and provide an operational explanation for the game-semantic conditions known as visibility and bracketing respectively. This allows us to refine the original model to provide fully abstract trace models of interaction with contexts that need not use higher-order references or call/cc . Along the way, we discuss the relationship between error- and termination-based contextual testing in each case, and relate the two to trace and complete trace equivalence respectively.

Overall, the paper provides a systematic development of operational game semantics for all four cases, which represent the state-based face of the so-called semantic cube.

Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-030-72019-3_13

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author


Publisher:
Springer
Host title:
Programming Languages and Systems. ESOP 2021.
Pages:
348-374
Series:
Lecture Notes in Computer Science
Series number:
12648
Publication date:
2021-03-23
Acceptance date:
2020-12-20
Event title:
ESOP 2021: 30th European Symposium on Programming
Event location:
Online (Luxembourg)
Event website:
https://etaps.org/2021/esop
Event start date:
2021-03-27
Event end date:
2021-04-01
DOI:
ISSN:
0302-9743
EISBN:
9783030720193
ISBN:
9783030720186


Language:
English
Keywords:
Pubs id:
1157758
Local pid:
pubs:1157758
Deposit date:
2021-01-22

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