Tag: intuitionistic modal logic
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Discussing “Extended Curry-Howard Correspondence for a Basic Constructive Modal Logic”
This is one of the classic papers – I’ve read, and cited, it a few times over the years myself – looking at extending the classic ‘Curry-Howard’ correspondence between lambda calculus and intuitionistic logic, to intuitionistic modal logic.
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Discussing “On Intuitionistic Diamonds (and Lack Thereof)”
I choose papers for this blog by looking at the most cited papers in my Google Scholar recommendations of recent papers. This week, my algorithm has read my mind by recommending a fairly new paper that was already at the top of my list of papers to read. Its topic, as with a few papers…
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Discussing “On modal logic with an intuitionistic base”
There is a mini-theme on this blog of important developments in intuitionistic modal logic, in which the modal notion of necessity (and, less often, possibility) is blended with the intuitionistic notion of constructive proofs which denies, for example, the law of the excluded middle. We’ve read through Plotkin and Stirling, Simpson, Davies and Pfenning, and,…
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Recent Posts
- Discussing “BI as an Assertion Language for Mutable Data Structures”
- Discussing “Sheaves in Geometry and Logic”
- Discussing “Extended Curry-Howard Correspondence for a Basic Constructive Modal Logic”
- 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