Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aiming Low Is Harder -- Induction for Lower Bounds in Probabilistic
  Program Verification   We present a new inductive rule for verifying lower bounds on expected values
of random variables after execution of probabilistic loops as well as on their
expected runtimes. Our rule is simple in the sense that loop body semantics
need to be applied only finitely often in order to verify that the candidates
are indeed lower bounds. In particular, it is not necessary to find the limit
of a sequence as in many previous rules.

11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas