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Communication Dans Un Congrès Année : 2018

LMSO: A Curry-Howard Approach to Church's Synthesis via Linear Logic

Résumé

We propose LMSO, a proof system inspired from Linear Logic, as a proof-theoretical framework to extract finite-state stream transducers from linear-constructive proofs of omega-regular specifications. We advocate LMSO as a stepping stone toward semi-automatic approaches to Church's synthesis combining computer assisted proofs with automatic decisions procedures. LMSO is correct in the sense that it comes with an automata-based realizability model in which proofs are interpreted as finite-state stream transducers. It is moreover complete, in the sense that every solvable instance of Church's synthesis problem leads to a linear-constructive proof of the formula specifying the synthesis problem.
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Dates et versions

hal-01698648 , version 1 (01-02-2018)
hal-01698648 , version 2 (27-04-2018)

Identifiants

  • HAL Id : hal-01698648 , version 2

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Cécilia Pradic, Colin Riba. LMSO: A Curry-Howard Approach to Church's Synthesis via Linear Logic. LICS'18, Jul 2018, Oxford, United Kingdom. ⟨hal-01698648v2⟩
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