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math.LO2026
The logic of bunched implications is undecidable
Nick Galatos, Peter Jipsen, Søren Brinck Knudstorp +1
The logic of bunched implications (BI), introduced by O'Hearn and Pym (1999), has attracted significant attention due to its elegant proof calculus, varied semantics, and close con…
math.LO2025
Predicative Ordinal Recursion on the Constructive Veblen Hierarchy
Amirhossein Akbar Tabatabai, Vitor Greati, Revantha Ramanayake
Inspired by Leivant's work on absolute predicativism, Bellantoni and Cook in 1992 introduced a structurally restricted form of recursion called predicative recursion. Using this re…