CycleQ: an efficient basis for cyclic equational reasoning
Thu 16 Jun 2022 22:40 - 23:00 at Toucan - Analysis
We propose a new cyclic proof system for automated, equational reasoning about the behaviour of pure functional programs. The key to the system is the way in which cyclic proof and equational reasoning are mediated by the use of contextual substitution as a cut rule. We show that our system, although simple, already subsumes several of the approaches to implicit induction variously known as “inductionless induction”, “rewriting induction”, and “proof by consistency”. By restricting the form of the traces, we show that global correctness in our system can be verified incrementally, taking advantage of the well-known size-change principle, which leads to an efficient implementation of proof search. Our CycleQ tool, accessible as a GHC plugin, shows promising results on a number of standard benchmarks.
Thu 16 JunDisplayed time zone: Pacific Time (US & Canada) change
10:40 - 12:00 | |||
10:40 20mTalk | CycleQ: an efficient basis for cyclic equational reasoning PLDI Eddie Jones University of Bristol, C.-H. Luke Ong University of Oxford, Steven Ramsay University of Bristol DOI | ||
11:00 20mTalk | Finding the Dwarf: Recovering Precise Types from WebAssembly Binaries PLDI DOI Pre-print | ||
11:20 20mTalk | Abstract Interpretation Repair PLDI Roberto Bruni University of Pisa, Roberto Giacobazzi University of Verona, Roberta Gori University of Pisa, Francesco Ranzato University of Padova DOI Pre-print | ||
11:40 20mTalk | Differential Cost Analysis with Simultaneous Potentials and Anti-potentials PLDI Đorđe Žikelić IST Austria, Pauline Bolignano Amazon, Bor-Yuh Evan Chang University of Colorado Boulder & Amazon, Franco Raimondi Amazon & Middlesex University DOI Pre-print |
22:40 - 00:00 | |||
22:40 20mTalk | CycleQ: an efficient basis for cyclic equational reasoning PLDI Eddie Jones University of Bristol, C.-H. Luke Ong University of Oxford, Steven Ramsay University of Bristol DOI | ||
23:00 20mTalk | Finding the Dwarf: Recovering Precise Types from WebAssembly Binaries PLDI DOI Pre-print | ||
23:20 20mTalk | Abstract Interpretation Repair PLDI Roberto Bruni University of Pisa, Roberto Giacobazzi University of Verona, Roberta Gori University of Pisa, Francesco Ranzato University of Padova DOI Pre-print | ||
23:40 20mTalk | Differential Cost Analysis with Simultaneous Potentials and Anti-potentials PLDI Đorđe Žikelić IST Austria, Pauline Bolignano Amazon, Bor-Yuh Evan Chang University of Colorado Boulder & Amazon, Franco Raimondi Amazon & Middlesex University DOI Pre-print |