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A Dialectica-Like Interpretation of a Linear MSO on Infinite Words

Abstract:

We devise a variant of Dialectica interpretation of intuitionistic linear logic for Open image in new window, a linear logic-based version MSO over infinite words. Open image in new window was known to be correct and complete w.r.t. Church’s synthesis, thanks to an automata-based realizability model. Invoking Büchi-Landweber Theorem and building on a complete axiomatization of MSO on infinite words, our interpretation provides us with a syntactic approach, without any further construc...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-030-17127-8_27

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Computer Science
Department:
Unknown
Role:
Author
Publisher:
Springer Verlag Publisher's website
Host title:
Lecture Notes in Computer Science
Journal:
Lecture Notes in Computer Science Journal website
Volume:
11425
Pages:
470-487
Publication date:
2019-04-05
DOI:
ISSN:
1611-3349 and 0302-9743
ISBN:
9783030171261
Keywords:
Pubs id:
pubs:1074807
UUID:
uuid:158c7307-e128-4eb3-b303-e58cb411ff64
Local pid:
pubs:1074807
Source identifiers:
1074807
Deposit date:
2020-01-07

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