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Scalable Funding of Bitcoin Micropayment Channel Networks

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Hyper Separation Logic (extended version)

cs.PL · 2026-04-14 · unverdicted · novelty 8.0

Hyper Separation Logic extends separation logic and Hyper Hoare Logic with a hyper separating conjunction to support arbitrary quantifier alternation for hyperproperties over heap programs, with a soundness proof in Isabelle/HOL.

Dependent Multiplicities in Dependent Linear Type Theory

cs.PL · 2025-07-11 · unverdicted · novelty 8.0

A dependent linear type theory is constructed by embedding linear logic into dependent type theory, yielding multiplicities that depend on variables, supporting W-types, with semantics in indexed Categories with Families and an Agda implementation.

Heterogeneous Dynamic Logic: Provability Modulo Program Theories

cs.LO · 2025-07-11 · conditional · novelty 8.0

HDL defines dynamic theories with lifting and combination operations, proves soundness and relative completeness in Isabelle, and demonstrates the approach on a Java controller steering a differential dynamic logic plant model.

On Balance, To What Degree is Burr's Conjecture True?

math.CO · 2026-06-09 · unverdicted · novelty 7.0

For lopsided trees with t2 >= 2 t1, Burr's bound has a gap of order max(t1^2/t2, sqrt(t1)); for t2 >= 500 t1 the bound is tight if Delta(T) <= t2 - t1 but off by Omega(log t2) otherwise.

Understanding CDCL Solvers via Scalability Studies and Proofdoors

cs.LO · 2026-05-15 · conditional · novelty 7.0

CDCL SAT solvers compute small proofdoors on linearly scaling BMC families but large non-absorbed ones on exponential families, as shown by empirical measurements on a 76k+ instance benchmark where prior parameters fail to discriminate regimes.

Layer-Based Width for PAFP

cs.DS · 2026-05-12 · unverdicted · novelty 7.0

PAFP is FPT by BFS-width plus backward arcs in the union digraph and polynomial-time solvable via 2-SAT for DAGs of exact-length width 2, with matching NP-hardness for width 3.

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