Formal Semantics of Programming Languages: From Lambda Calculus to Separation Logic

 
Review
 
 
期末考试
 
时间
2021
12
23
日周四
1-2
8:00-9:50
地点
上课教室
B-205
闭卷
总成绩
作业
40% + 
考试
60%
 
答疑
不统一安排
可发邮件或
QQ
群讨论
 
Formal Semantics of Programming
Languages
 
Lambda Calculus
Untyped
Simply typed
 
Imperative languages
Operational semantics
Hoare logic
Separation logic
 
Untyped lambda calculus
 
Syntax
 
Semantics (reduction rules)
 
Simply-typed lambda calculus
 
Syntax
 
 
 
 
 
Reduction rules
 
Simply-typed lambda calculus
 
Typing rules
 
A simple imperative language
 
Syntax
 
Operational semantics
 
Small-step
 
Operational semantics
 
Big-step
 
Hoare logic
 
Hoare triple validity
Inference rules for partial correctness
 
Separation logic
 
The extended programming language
Syntax & operational semantics
 
Separation logic
 
The assertion language
 
Separation logic
 
Locality
Safety monotonicity
 
 
Frame property
 
Formal Semantics of Prog. Lang.
 
Lambda Calculus
Untyped
Reduction
Simply typed
Reduction vs typing : progress & preservation
Imperative languages
Operational semantics
Small-step & big-step
Hoare logic
Reasoning using Hoare logic
Separation logic
Assertion semantics & locality
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Explore the foundational concepts of formal semantics in programming languages, covering Lambda Calculus, Untyped and Simply-typed languages, Imperative languages, Operational and Hoare logics, as well as Separation logic. Delve into syntax, reduction rules, typing rules, and operational semantics in various language paradigms.

  • Formal Semantics
  • Programming Languages
  • Lambda Calculus
  • Operational Semantics
  • Separation Logic

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Presentation Transcript


  1. Review

  2. 2021 12 23 1-2 8:00-9:50 B-205 40% + 60% QQ

  3. Formal Semantics of Programming Languages Lambda Calculus Untyped Simply typed Imperative languages Operational semantics Hoare logic Separation logic

  4. Untyped lambda calculus Syntax Semantics (reduction rules)

  5. Simply-typed lambda calculus Syntax Reduction rules

  6. Simply-typed lambda calculus Typing rules

  7. A simple imperative language Syntax

  8. Operational semantics Small-step

  9. Operational semantics Big-step

  10. Hoare logic Hoare triple validity Inference rules for partial correctness

  11. Separation logic The extended programming language Syntax & operational semantics

  12. Separation logic The assertion language

  13. Separation logic Locality Safety monotonicity Frame property

  14. Formal Semantics of Prog. Lang. Lambda Calculus Untyped Reduction Simply typed Reduction vs typing : progress & preservation Imperative languages Operational semantics Small-step & big-step Hoare logic Reasoning using Hoare logic Separation logic Assertion semantics & locality

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