We prove that all valid Herbrand equalities can be inter-procedurally inferred for programs where all assignments are taken into account whose right-hand sides depend on at most one variable. The analysis is based on procedure summaries representing the weakest pre-conditions for finitely many generic post-conditions with template variables. In order to arrive at effective representations for all occurring weakest pre-conditions, we show for almost all values possibly computed at run-time, that they can be uniquely factorized into tree patterns and a terminating ground term. Moreover, we introduce an approximate notion of subsumption which is effectively decidable and ensures that finite conjunctions of equalities may not grow infinitely. Based on these technical results, we realize an effective fixpoint iteration to infer all inter-procedurally valid Herbrand equalities for these programs.
Wed 15 AprDisplayed time zone: Azores change
14:00 - 16:00 | |||
14:00 30mTalk | Making Random Judgments: Automatically Generating Well-Typed Terms from the Definition of a Type-System ESOP Burke Fetscher Northwestern University, Koen Claessen Chalmers University of Technology, Michał Pałka Chalmers University of Technology, John Hughes Chalmers University of Technology, Robert Bruce Findler Northwestern University | ||
14:30 30mTalk | Refinement Types for Incremental Computational Complexity ESOP | ||
15:00 30mTalk | Monotonic References for Efficient Gradual Typing ESOP Jeremy G. Siek Indiana University, Michael M. Vitousek Indiana University, Matteo Cimini Indiana University, Sam Tobin-Hochstadt Indiana University, Ronald Garcia University of British Columbia | ||
15:30 30mTalk | Inter-procedural Two-Variable Herbrand Equalities ESOP Stefan Schulze Frielinghaus Technische Universität München, Michael Petter Technische Universität München, Helmut Seidl Technische Universität München | ||