Open Problems Clause Samples
The "Open Problems" clause identifies and outlines issues or questions that remain unresolved within the context of an agreement, project, or document. Typically, this clause lists specific topics, tasks, or technical challenges that require further investigation, clarification, or decision-making, and may assign responsibility for addressing them or set deadlines for resolution. Its core practical function is to ensure transparency about outstanding matters, facilitate ongoing collaboration, and provide a structured approach to tracking and resolving uncertainties or pending items.
Open Problems. Our results leave a number of very exciting open problems.
Open Problems. The communication complexity of Optimal-ABA shows that the protocol is com- munication optimal for sufficiently large l and the bound on l depends on the communication complexity of the underlying ABA and AVSS protocols. One may try to design communication optimal ABA protocol for all values of l (if possible) using completely different approach.
Open Problems. An important open question is to investigate whether multi-valued communi- cation optimal protocols can be achieved with less number of invocations to protocols for single bit in comparison to what we provide in this paper. [ADH08] ▇. ▇▇▇▇▇▇▇, ▇. ▇▇▇▇▇, and ▇. ▇. ▇▇▇▇▇▇▇. An almost-surely terminating polynomial protocol for asynchronous Byzantine Agreement with optimal resilience. In PODC, pages 40†–414. ACM Press, 2008. [BGP09] ▇. ▇▇▇▇▇▇, G. A. ▇▇▇▇▇, and ▇. ▇. ▇▇▇▇▇. Bit optimal distributed consensus. In Computer Science Research, 2009. [BKR94] ▇. ▇▇▇▇▇, ▇. ▇▇▇▇▇▇, and ▇. ▇▇▇▇▇. Asynchronous secure computations with optimal resilience. In PODC, pages 183–192. ACM Press, 1994. [BO83] M. Ben-Or. Another advantage of free choice: Completely asynchronous agreement protocols. In PODC, pages 2k–30. ACM Press, 1983. [BOCG93] ▇. ▇▇▇-Or, ▇. ▇▇▇▇▇▇▇, and ▇. ▇▇▇▇▇▇▇▇▇. Asynchronous Secure Compu- tation. In STOC, pages †2–61. ACM Press, 1993. [BOGW88] M. Ben-Or, ▇. ▇▇▇▇▇▇▇▇▇▇, and ▇. ▇▇▇▇▇▇▇▇▇. Completeness theorems for non-cryptographic fault-tolerant distributed computation (extended ab- stract). In STOC, pages 1–10. ACM Press, 1988. [Bra84] ▇. ▇▇▇▇▇▇. An asynchronous |(ı — 1)ƒ3∫-resilient consensus protocol. In [BTH06] Z. Beerliov´a-Trub´ıniov´a and ▇. ▇▇▇▇. Efficient multi-party computation with dispute control. In TCC, LNCS 38k6, pages 30†–328, 2006. [Can9†] ▇. ▇▇▇▇▇▇▇. Sfudses sn Secuve Mu1fspavfy Compufafson and App1scafsons. PhD thesis, Weizmann Institute, Israel, 199†. [CGMA8†] B. Chor, ▇. ▇▇▇▇▇▇▇▇▇▇, ▇. ▇▇▇▇▇▇, and ▇. ▇▇▇▇▇▇▇▇. Verifiable secret shar- ing and achieving simultaneity in the presence of faults (extended abstract). In STOC, pages 383–39†. ACM Press, 198†. [CR93] ▇. ▇▇▇▇▇▇▇ and ▇. ▇▇▇▇▇. Fast asynchronous Byzantine Agreement with optimal resilience. In STOC, pages 42–†1. ACM Press, 1993. [CW92] ▇. ▇. ▇▇▇▇ and ▇. ▇. ▇▇▇▇▇. Modular construction of a Byzantine Agree- ment protocol with optimal message bit complexity. Infovmafson and Com− pufafson, 9k(1):61–8†, 1992. [DR8†] ▇. ▇▇▇▇▇ and ▇. ▇▇▇▇▇▇▇▇. Bounds on information exchange for Byzantine Agreement. JACM, 32(1):191–204, 198†. [FH06] ▇. ▇▇▇▇▇ and ▇. ▇▇▇▇. Optimally Efficient Multi-valued Byzantine Agree- ment. In PODC, pages 163–168, 2006. [FLP8†] ▇. ▇. ▇▇▇▇▇▇▇, ▇. ▇. ▇▇▇▇▇, and ▇. ▇▇▇▇▇▇▇▇. Impossibility of distributed consensus with one faulty process. JACM, 32(2):3k4–382, 198†. [FM88] ▇. ▇▇▇▇▇▇▇ and ▇. ▇▇▇▇▇▇. An Optimal Algorithm for Synchronous Byzan- ▇▇▇▇ ▇▇▇▇▇▇▇▇. In STOC, pages 639–648....