Conference Papers Year : 2017

A Curry-Howard Approach to Church's Synthesis

Abstract

Church's synthesis problem asks whether there exists a finite-state stream transducer satisfying a given input-output specification. For specifications written in Monadic Second-Order Logic over infinite words, Church's synthesis can theoretically be solved algorithmically using automata and games. We revisit Church's synthesis via the Curry-Howard correspondence by introducing SMSO, a non-classical subsystem of MSO, which is shown to be sound and complete w.r.t. synthesis thanks to an automata-based realizability model.

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Dates and versions

hal-01511837 , version 1 (21-04-2017)
hal-01511837 , version 2 (09-07-2017)

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Cécilia Pradic, Colin Riba. A Curry-Howard Approach to Church's Synthesis. FSCD'17, Sep 2017, Oxford, United Kingdom. ⟨10.4230/LIPIcs.FSCD.2017.29⟩. ⟨hal-01511837v2⟩
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