Incremental computation via function caching
POPL '89 Proceedings of the 16th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Incremental reduction in the lambda calculus
LFP '90 Proceedings of the 1990 ACM conference on LISP and functional programming
A framework for defining logics
Journal of the ACM (JACM)
A categorized bibliography on incremental computation
POPL '93 Proceedings of the 20th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Analysis and caching of dependencies
Proceedings of the first ACM SIGPLAN international conference on Functional programming
Adaptive functional programming
POPL '02 Proceedings of the 29th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Incremental evaluation for attribute grammars with application to syntax-directed editors
POPL '81 Proceedings of the 8th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Monads for incremental computing
Proceedings of the seventh ACM SIGPLAN international conference on Functional programming
POPL '03 Proceedings of the 30th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Dynamizing static algorithms, with applications to dynamic trees and history independence
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Self-adjusting computation
An experimental analysis of self-adjusting computation
Proceedings of the 2006 ACM SIGPLAN conference on Programming language design and implementation
Mechanizing metatheory in a logical framework
Journal of Functional Programming
Imperative self-adjusting computation
Proceedings of the 35th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Robust Kinetic Convex Hulls in 3D
ESA '08 Proceedings of the 16th annual European symposium on Algorithms
Self-adjusting computation: (an overview)
Proceedings of the 2009 ACM SIGPLAN workshop on Partial evaluation and program manipulation
An experimental analysis of self-adjusting computation
ACM Transactions on Programming Languages and Systems (TOPLAS)
Self-adjusting computation with Delta ML
AFP'08 Proceedings of the 6th international conference on Advanced functional programming
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This paper presents a semantics of self-adjusting computation and proves that the semantics is correct and consistent. The semantics integrates change propagation with the classic idea of memoization to enable reuse of computations under mutation to memory. During evaluation, reuse of a computation via memoization triggers a change propagation that adjusts the reused computation to reflect the mutated memory. Since the semantics combines memoization and change-propagation, it involves both non-determinism and mutation. Our consistency theorem states that the non-determinism is not harmful: any two evaluations of the same program starting at the same state yield the same result. Our correctness theorem states that mutation is not harmful: self-adjusting programs are consistent with purely functional programming. We formalized the semantics and its meta-theory in the LF logical framework and machine-checked the proofs in Twelf.