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Effective Procedures for \(\hbox{\L}_{\infty}\) and MV-Algebras

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Advanced Łukasiewicz calculus and MV-algebras

Part of the book series: Trends in Logic ((TREN,volume 35))

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Abstract

Łukasiewicz propositional logic Ł comes equipped with the same parsing algorithms of boolean propositional logic, and with its own arithmetic–geometric algorithms to recognize tautologies and to decide if a formula Φ is a consequence of Ψ. Building on this basic algorithmic structure, and pulling the threads of earlier chapters together, the present chapter describes a rich array of methods for constructing algorithms for finitely presented MV-algebras and their associated rational polyhedra.

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Correspondence to D. Mundici .

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Mundici, D. (2011). Effective Procedures for \(\hbox{\L}_{\infty}\) and MV-Algebras. In: Advanced Łukasiewicz calculus and MV-algebras. Trends in Logic, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0840-2_18

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