Datalog

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摘要

关于Datalog的全面笔记:什么是Datalog,如何用多种语言实现,以及在程序分析中的应用,附带代码示例和资源。

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# Datalog 源代码:https://www.philipzucker.com/notes/Languages/datalog/ - 什么是 Datalog?(https://www.philipzucker.com/notes/Languages/datalog/#what-is-datalog) - 能用 Datalog 做什么?(https://www.philipzucker.com/notes/Languages/datalog/#what-can-you-do-with-datalog) - 入门指南(https://www.philipzucker.com/notes/Languages/datalog/#getting-started) - 路径可达性(https://www.philipzucker.com/notes/Languages/datalog/#path-reachability) - Python(https://www.philipzucker.com/notes/Languages/datalog/#python) - 朴素方法(https://www.philipzucker.com/notes/Languages/datalog/#naive) - 半朴素方法(https://www.philipzucker.com/notes/Languages/datalog/#semi-naive) - 索引(https://www.philipzucker.com/notes/Languages/datalog/#indexing) - 格(https://www.philipzucker.com/notes/Languages/datalog/#lattice) - SQL 递归公用表子表达式(https://www.philipzucker.com/notes/Languages/datalog/#sql-recursive-common-table-subexpressions) - 朴素 SQL 翻译(https://www.philipzucker.com/notes/Languages/datalog/#naive-sql-translation) - 半朴素(https://www.philipzucker.com/notes/Languages/datalog/#seminaive) - 格(https://www.philipzucker.com/notes/Languages/datalog/#lattices) - Ocaml(https://www.philipzucker.com/notes/Languages/datalog/#ocaml) - 朴素方法(https://www.philipzucker.com/notes/Languages/datalog/#naive-1) - Rust(https://www.philipzucker.com/notes/Languages/datalog/#rust) - Magic Set(https://www.philipzucker.com/notes/Languages/datalog/#magic-set) - 程序分析(https://www.philipzucker.com/notes/Languages/datalog/#program-analysis) - 评估(https://www.philipzucker.com/notes/Languages/datalog/#evaluation) - 常量传播(https://www.philipzucker.com/notes/Languages/datalog/#constant-propagation) - 符号求值(https://www.philipzucker.com/notes/Languages/datalog/#symbolic-evaluation) - 到达定义(https://www.philipzucker.com/notes/Languages/datalog/#reaching-definitions) - 活跃性(https://www.philipzucker.com/notes/Languages/datalog/#liveness) - 指向分析(https://www.philipzucker.com/notes/Languages/datalog/#points-to) - 可用表达式(https://www.philipzucker.com/notes/Languages/datalog/#available-expressions) - 交集(https://www.philipzucker.com/notes/Languages/datalog/#intersection) - 非常繁忙表达式(https://www.philipzucker.com/notes/Languages/datalog/#very-busy-expressions) - 程序点的 Zippers(https://www.philipzucker.com/notes/Languages/datalog/#zippers-for-program-points) - 支配者(https://www.philipzucker.com/notes/Languages/datalog/#dominators) - Forall 模拟(https://www.philipzucker.com/notes/Languages/datalog/#forall-emulation) - Doop(https://www.philipzucker.com/notes/Languages/datalog/#doop) - Datalog 反汇编/反编译器(https://www.philipzucker.com/notes/Languages/datalog/#datalog-diassembly--decompilers) - Bap(https://www.philipzucker.com/notes/Languages/datalog/#bap) - 资源(https://www.philipzucker.com/notes/Languages/datalog/#resources) - 一流集合与反射(https://www.philipzucker.com/notes/Languages/datalog/#first-class-sets--reflection) - 位集合(https://www.philipzucker.com/notes/Languages/datalog/#bitsets) - 位集合反射(https://www.philipzucker.com/notes/Languages/datalog/#bitset-reflection) - 排序列表(https://www.philipzucker.com/notes/Languages/datalog/#sort-lists) - Patricia Trie(https://www.philipzucker.com/notes/Languages/datalog/#patricia-tries) - BDD(https://www.philipzucker.com/notes/Languages/datalog/#bdds) - 调用(https://www.philipzucker.com/notes/Languages/datalog/#call) - 元循环解释器(https://www.philipzucker.com/notes/Languages/datalog/#meta-circular-interpreter) - BogoSort(https://www.philipzucker.com/notes/Languages/datalog/#bogosort) - 翻译函数式程序(https://www.philipzucker.com/notes/Languages/datalog/#translating-functional-programs) - 列表(https://www.philipzucker.com/notes/Languages/datalog/#lists) - 动态规划(https://www.philipzucker.com/notes/Languages/datalog/#dynamic-programming) - Q 学习(https://www.philipzucker.com/notes/Languages/datalog/#q-learning) - Mandelbrot(https://www.philipzucker.com/notes/Languages/datalog/#mandelbrot) - 球与弹簧(https://www.philipzucker.com/notes/Languages/datalog/#ball-and-springs) - 数独(https://www.philipzucker.com/notes/Languages/datalog/#sudoku) - 约束处理规则 (CHR)(https://www.philipzucker.com/notes/Languages/datalog/#constraint-handling-rules-chr) - 反向传播(https://www.philipzucker.com/notes/Languages/datalog/#backprop) - Lambda 表示(https://www.philipzucker.com/notes/Languages/datalog/#lambda-representation) - 解析(https://www.philipzucker.com/notes/Languages/datalog/#parsing) - Hilog(https://www.philipzucker.com/notes/Languages/datalog/#hilog) - 相等饱和(https://www.philipzucker.com/notes/Languages/datalog/#equality-saturation) - 项重写(https://www.philipzucker.com/notes/Languages/datalog/#term-rewriting) - Datalog modulo 项重写(https://www.philipzucker.com/notes/Languages/datalog/#datalog-modulo-term-rewriting) - 图重写(https://www.philipzucker.com/notes/Languages/datalog/#graph-rewriting) - 图算法(https://www.philipzucker.com/notes/Languages/datalog/#graph-algorithms) - 可达性(https://www.philipzucker.com/notes/Languages/datalog/#reachability) - 最短路径(https://www.philipzucker.com/notes/Languages/datalog/#shortest-path) - 生成树(https://www.philipzucker.com/notes/Languages/datalog/#spanning-tree) - 团(https://www.philipzucker.com/notes/Languages/datalog/#clique) - 环(https://www.philipzucker.com/notes/Languages/datalog/#cycle) - 子图匹配(https://www.philipzucker.com/notes/Languages/datalog/#subgraph-matching) - 着色(https://www.philipzucker.com/notes/Languages/datalog/#coloring) - 传播器(https://www.philipzucker.com/notes/Languages/datalog/#propagators) - 布尔约束传播(https://www.philipzucker.com/notes/Languages/datalog/#boolean-constraint-propagation) - 差分逻辑(https://www.philipzucker.com/notes/Languages/datalog/#difference-logic) - 有限域(https://www.philipzucker.com/notes/Languages/datalog/#finite-domain) - 宏(https://www.philipzucker.com/notes/Languages/datalog/#macros) - define ORBODY(h,b1,b2) CLAUSE(h, b1) CLAUSE(h, b2)(https://www.philipzucker.com/notes/Languages/datalog/#define-orbodyhb1b2-clauseh-b1-clauseh-b2) - define ORHEAD(h1,h2,b) CLAUSE(h1,b) CLAUSE(h2,b)(https://www.philipzucker.com/notes/Languages/datalog/#define-orheadh1h2b-clauseh1b-clauseh2b) - define IMPLBODY(h, b1, b1) CLAUSE( h, (b1, b2) )(https://www.philipzucker.com/notes/Languages/datalog/#define-implbodyh-b1-b1-clause-h-b1-b2-) - define IMPLHEAD()(https://www.philipzucker.com/notes/Languages/datalog/#define-implhead) - 模拟 Prolog(https://www.philipzucker.com/notes/Languages/datalog/#emulating-prolog) - 需要集合(https://www.philipzucker.com/notes/Languages/datalog/#need-sets) - Magic Set(https://www.philipzucker.com/notes/Languages/datalog/#magic-set-1) - 一流并查集(https://www.philipzucker.com/notes/Languages/datalog/#first-class-union-find) - 翻译命令式程序(https://www.philipzucker.com/notes/Languages/datalog/#translating-imperative-programs) - 迭代(https://www.philipzucker.com/notes/Languages/datalog/#iteration) - 模型检查(https://www.philipzucker.com/notes/Languages/datalog/#model-checking) - 时间戳(https://www.philipzucker.com/notes/Languages/datalog/#timestamping) - 定理证明(https://www.philipzucker.com/notes/Languages/datalog/#theorem-proving) - 存在量词头的 Skolem 化(https://www.philipzucker.com/notes/Languages/datalog/#skolemization-for-existential-heads) - 目标/查询(https://www.philipzucker.com/notes/Languages/datalog/#goals--queries) - 去柯里化(https://www.philipzucker.com/notes/Languages/datalog/#uncurrying) - 上下文 Datalog / 假设 Datalog(https://www.philipzucker.com/notes/Languages/datalog/#contextual-datalog--hypothetical-datalog) - 高阶子句 (Harrop)(https://www.philipzucker.com/notes/Languages/datalog/#higher-order-clauses-harrop) - 栈数据库 / Harrop Datalog / 试探性 Datalog(https://www.philipzucker.com/notes/Languages/datalog/#stack-database--harrop-datalog--tentative-datalog) - 存在查询(https://www.philipzucker.com/notes/Languages/datalog/#existenial-queries) - 全称量词(https://www.philipzucker.com/notes/Languages/datalog/#universal-quantifier) - 几何(https://www.philipzucker.com/notes/Languages/datalog/#geometry) - 范畴示例(https://www.philipzucker.com/notes/Languages/datalog/#categorical-example) - 类型类解析(https://www.philipzucker.com/notes/Languages/datalog/#typeclass-resolution) - 借用检查器(https://www.philipzucker.com/notes/Languages/datalog/#borrow-checker) - 类型检查(https://www.philipzucker.com/notes/Languages/datalog/#type-checking) - 余归纳或最大不动点 Datalog(https://www.philipzucker.com/notes/Languages/datalog/#coinductive-or-greatest-fixed-point-datalog) - DFA 最小化(https://www.philipzucker.com/notes/Languages/datalog/#dfa-minimization) - CRDT(https://www.philipzucker.com/notes/Languages/datalog/#crdts) - 多重集语义(https://www.philipzucker.com/notes/Languages/datalog/#multiset-semantics) - 访问控制策略(https://www.philipzucker.com/notes/Languages/datalog/#access-control-policies) - 网络(https://www.philipzucker.com/notes/Languages/datalog/#networks) - Make(https://www.philipzucker.com/notes/Languages/datalog/#make) - 主题(https://www.philipzucker.com/notes/Languages/datalog/#topics) - 回答集编程(https://www.philipzucker.com/notes/Languages/datalog/#answer-set-programmng) - 溯源(https://www.philipzucker.com/notes/Languages/datalog/#provenance) - 半朴素求值(https://www.philipzucker.com/notes/Languages/datalog/#semi-naive-evaluation) - 代数数据类型(https://www.philipzucker.com/notes/Languages/datalog/#algebraic-data-types) - 格(https://www.philipzucker.com/notes/Languages/datalog/#lattices-1) - 包含(https://www.philipzucker.com/notes/Languages/datalog/#subsumption) - 包含作为主特性(https://www.philipzucker.com/notes/Languages/datalog/#subsumption-as-a-master-feature) - 溯源(https://www.philipzucker.com/notes/Languages/datalog/#provenance-1) - max min(https://www.philipzucker.com/notes/Languages/datalog/#max-min) - 递归求和与计数(https://www.philipzucker.com/notes/Languages/datalog/#recurusive-sum-and-count) - 格(https://www.philipzucker.com/notes/Languages/datalog/#lattices-2) - 最小/最大格(https://www.philipzucker.com/notes/Languages/datalog/#minmax-lattice) - Maybe/Option 格(https://www.philipzucker.com/notes/Languages/datalog/#maybeoption-lattice) - 区间(https://www.philipzucker.com/notes/Languages/datalog/#intervals) - 加宽(https://www.philipzucker.com/notes/Languages/datalog/#widening) - 二元格(https://www.philipzucker.com/notes/Languages/datalog/#dyadic-lattice) - 等价关系(https://www.philipzucker.com/notes/Languages/datalog/#equivalence-relations) - 否定(https://www.philipzucker.com/notes/Languages/datalog/#negation) - 选择域(https://www.philipzucker.com/notes/Languages/datalog/#choice-domain) - 半环语义(https://www.philipzucker.com/notes/Languages/datalog/#semiring-semantics) - 概率(https://www.philipzucker.com/notes/Languages/datalog/#probability) - Datalog\+\- 与 chase(https://www.philipzucker.com/notes/Languages/datalog/#datalog--and-the-chase) - 制表(https://www.philipzucker.com/notes/Languages/datalog/#tabling) - 描述复杂度与最小不动点逻辑(https://www.philipzucker.com/notes/Languages/datalog/#descriptive-complexity-and-least-fixed-point-logic) - 推送式 Datalog(https://www.philipzucker.com/notes/Languages/datalog/#push-based-datalog) - 增量/差分 Datalog(https://www.philipzucker.com/notes/Languages/datalog/#incremental--differential-datalog) - Datalog 的回溯(https://www.philipzucker.com/notes/Languages/datalog/#backtracking-a-datalog) - 实现(https://www.philipzucker.com/notes/Languages/datalog/#implementations) - Rel(https://www.philipzucker.com/notes/Languages/datalog/#rel) - DDlog(https://www.philipzucker.com/notes/Languages/datalog/#ddlog) - IncA(https://www.philipzucker.com/notes/Languages/datalog/#inca) - Formulog(https://www.philipzucker.com/notes/Languages/datalog/#formulog) - Datafrog(https://www.philipzucker.com/notes/Languages/datalog/#datafrog) - Ascent(https://www.philipzucker.com/notes/Languages/datalog/#ascent) - Flix(https://www.philipzucker.com/notes/Languages/datalog/#flix) - dr lojekyl(https://www.philipzucker.com/notes/Languages/datalog/#dr-lojekyl) - Datafun(https://www.philipzucker.com/notes/Languages/datalog/#datafun) - QL(https://www.philipzucker.com/notes/Languages/datalog/#ql) - Souffle(https://www.philipzucker.com/notes/Languages/datalog/#souffle) - 内置函子(https://www.philipzucker.com/notes/Languages/datalog/#intrinsic-functors) - 浮点数(https://www.philipzucker.com/notes/Languages/datalog/#floats) - Souffle 证明(https://www.philipzucker.com/notes/Languages/datalog/#souffle-proofs) - 聚合(https://www.philipzucker.com/notes/Languages/datalog/#aggregates) - 用户定义函子(https://www.philipzucker.com/notes/Languages/datalog/#user-defined-functors) - ADT(https://www.philipzucker.com/notes/Languages/datalog/#adts) - 上下文为王(https://www.philipzucker.com/notes/Languages/datalog/#contexts-are-king) - 字段访问器(https://www.philipzucker.com/notes/Languages/datalog/#field-accessors) - 向量(https://www.philipzucker.com/notes/Languages/datalog/#vectors) - 使用 ADT 替代 autoinc()(https://www.philipzucker.com/notes/Languages/datalog/#use-adt-instead-of-autoinc) - 记录打包(https://www.philipzucker.com/notes/Languages/datalog/#record-packing) - 宏(https://www.philipzucker.com/notes/Languages/datalog/#macros-1) - 组件(https://www.philipzucker.com/notes/Languages/datalog/#components) - 选择域(https://www.philipzucker.com/notes/Languages/datalog/#choice-domain-1) - 否定(https://www.philipzucker.com/notes/Languages/datalog/#negation-1) - Souffle 源代码(https://www.philipzucker.com/notes/Languages/datalog/#souffle-source) - EPR datalog(https://www.philipzucker.com/notes/Languages/datalog/#epr-datalog) - 资源(https://www.philipzucker.com/notes/Languages/datalog/#resources-1) - include prelude.ml(https://www.philipzucker.com/notes/Languages/datalog/#include-preludeml) - class(slotname : f(x,y) , ) :-(https://www.philipzucker.com/notes/Languages/datalog/#classslotname--fxy----) - 构建 Souffle emscripten(https://www.philipzucker.com/notes/Languages/datalog/#building-souffle-emscripten) 另请参阅关于以下主题的笔记: - Prolog - 回答集编程 ## 什么是 Datalog? Datalog 是多面的,这正是它如此酷的部分原因。从一个角度来看,它是一种数据库语言,是 SQL 的一种更简洁的竞品。它具有递归特性,使得表达图和网络查询变得容易,而在 SQL 中你可能需要借助递归公用表子表达式和/或触发器才能解决这类问题。与 SQL 相比,它也在某些方面受到限制。SQL 允许一些命令式命令(如 `DELETE` 或 `UPDATE`),而 Datalog 通常设计成永久保留信息(单调性)。从另一个角度来看,它是逻辑编程语言 Prolog 的亲属,采用自底向上搜索而非自顶向下搜索。它从这一逻辑编程传统中继承了语言在操作语义和逻辑解读上的迷人二元性。

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