Core Concepts
The authors propose extending the superposition calculus with rewriting-based techniques to improve automation in induction reasoning, leading to significant advancements in theorem proving.
Abstract
The content discusses the integration of rewriting techniques into saturation-based first-order theorem proving to enhance automation in induction reasoning. It introduces new inference rules and criteria to detect redundant inductions, ultimately improving efficiency and effectiveness in theorem proving.
Key Points:
- Introduction of rewriting techniques for automation in induction reasoning.
- Proposal of new inference rules and criteria to detect redundant inductions.
- Improvement in efficiency and effectiveness of theorem proving through these enhancements.
Stats
"Our results are summarised in Figure 6, showcasing that each ReC and CReC calculi variant performs significantly better than Sup."
"Performance is further improved via detection of redundant IndG inferences and using chaining inferences via CReC variants."
Quotes
"The authors propose deriving slightly more consequences than usual, triggering induction rules with suitable schemas."
"Using chaining inferences for efficient rewrites in saturation with induction, we define the calculus CReC as Sup∪{CRw, Chain1, Chain2}."