Tag: intuitionistic logic
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Discussing “Nested Sequents for Intuitionistic Logics”
About a year and a half ago I wrote about hypersequents, a modification of the tried and trusted sequent calculus approach to structural proof theory. In that setting, instead of working with a single sequent (a set of premises alongside a set of possible conclusions) we work with a list of sequents. In this paper,…
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Discussing “Combining Classical and Intuitionistic Logic”
This short but fun little paper discusses how we can combine two different logics – classical and intuitionistic – into one. Classical logic is the logic of Boole where every proposition has a definite value of True or False and negation simply inverts the value, so that ‘p or not p’ holds for any proposition…
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Recent Posts
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- Discussing “Basic Proof Theory”
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1994 1996 2000 2001 2014 2019 2020 2021 2023 Bedrock Systems Cambridge Tracts in Theoretical Computer Science Carnegie Mellon University City University of New York Coq Cubical Type Theory Cyril Cohen Côte d'Azur University Fabian Kunze Gregory Malecha Inria Nantes intuitionistic logic intuitionistic modal logic Jonathan Sterling LICS Melvin Fitting Metaprogramming modal logic nested sequent calculus Nicolas Tabareau Notre Dame Journal of Formal Logic POPL Proof theory Rocq Saarland University sequent calculus Simon Boulier Théo Winterhalter types type theory University of Amsterdam University of Birmingham University of Cambridge University of Oxford Valeria de Paiva Yannick Forster