Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Complete Approach to Loop Verification with Invariants and Summaries   Invariants are the predominant approach to verify the correctness of loops.
As an alternative, loop contracts, which make explicit the premise and
conclusion of the underlying induction proof, can sometimes capture correctness
conditions more naturally. But despite this advantage, the second approach
receives little attention overall, and the goal of this paper is to lift it out
of its niche. We give the first comprehensive exposition of the theory of loop
contracts, including a characterization of its completeness. We show concrete
examples on standard algorithms that showcase their relative merits. Moreover,
we demonstrate a novel constructive translation between the two approaches,
which decouples the chosen specification approach from the verification
backend.

32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg