Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Verification of Threshold-Based Distributed Algorithms by Decomposition
  to Decidable Logics   Verification of fault-tolerant distributed protocols is an immensely
difficult task. Often, in these protocols, thresholds on set cardinalities are
used both in the process code and in its correctness proof, e.g., a process can
perform an action only if it has received an acknowledgment from at least half
of its peers. Verification of threshold-based protocols is extremely
challenging as it involves two kinds of reasoning: first-order reasoning about
the unbounded state of the protocol, together with reasoning about sets and
cardinalities. In this work, we develop a new methodology for decomposing the
verification task of such protocols into two decidable logics: EPR and BAPA.
Our key insight is that such protocols use thresholds in a restricted way as a
means to obtain certain properties of "intersection" between sets. We define a
language for expressing such properties, and present two translations: to EPR
and BAPA. The EPR translation allows verifying the protocol while assuming
these properties, and the BAPA translation allows verifying the correctness of
the properties. We further develop an algorithm for automatically generating
the properties needed for verifying a given protocol, facilitating fully
automated deductive verification. Using this technique we have verified several
challenging protocols, including Byzantine one-step consensus, hybrid reliable
broadcast and fast Byzantine Paxos.

25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th