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A formulae-as-types interpretation of Subtractive Logic

Abstract : We present a formulae-as-types interpretation of Subtractive Logic (i.e. bi-intuitionistic logic). This presentation is two-fold: we first define a very natural restriction of the lambda-mu-calculus which is closed under reduction and whose type system is a constructive restriction of the Classical Natural Deduction. Then we extend this deduction system conservatively to Subtractive Logic. From a computational standpoint, the resulting calculus provides a type system for first-class coroutines (a restricted form of first-class continuations).
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Contributor : Tristan Crolard Connect in order to contact the contributor
Submitted on : Thursday, September 14, 2006 - 4:47:40 PM
Last modification on : Tuesday, October 19, 2021 - 4:07:07 PM


  • HAL Id : hal-00094584, version 1



Tristan Crolard. A formulae-as-types interpretation of Subtractive Logic. Journal of Logic and Computation, Oxford University Press (OUP), 2004, 14:4, pp.529-570. ⟨hal-00094584⟩



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