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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…
cs.LO2026
Hypersequent Calculi Have Ackermannian Complexity
A. R. Balasubramanian, Vitor Greati, Revantha Ramanayake
For substructural logics with contraction or weakening admitting cut-free sequent calculi, proof search was analyzed using well-quasi-orders on (Dickson's lemma), yi…