Foundations of Software - LAMP - EPFL

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Approaches to Program Meaning � Denotational semantics and domain theory view programs as simple mathematical objects, abstracting away their flow of control and concentrating on their input-output behavior. � Program logics such as Hoare logic and dependent type theories focus on logical rules for reasoning about programs. � Operational semantics describes program behaviors by means of abstract machines. This approach is somewhat lower-level than the others, but is extremely flexible. � Process calculi focus on the communication and synchronization behaviors of complex concurrent systems. � Type systems describe approximations of program behaviors, concentrating on the shapes of the values passed between different parts of the program. 8
Overview This course will concentrate on operational techniques and type systems. � Part I: Modeling programming languages ⊲ Syntax and parsing ⊲ Operational semantics ⊲ Inductive proof techniques ⊲ The lambda-calculus ⊲ Syntactic sugar; fully abstract translations � Part II: Type systems ⊲ Simple types ⊲ Type safety ⊲ References ⊲ Subtyping 9
Page 1 and 2: Foundations of Software Martin Oder
Page 3 and 4: What is “software foundations”?
Page 5 and 6: What you can expect to get out of t
Page 7: What this course is not � An intr
Page 11 and 12: Organization of the Course 11
Page 13 and 14: Information Textbook: Types and Pro
Page 15 and 16: Homework and Projects You will be a
Page 17 and 18: Learning Scala If you don’t know
Page 19 and 20: Collaboration � Collaboration on
Page 21 and 22: Part I Modelling programming langua
Page 23 and 24: Approaches to Parsing There are two
Page 25 and 26: Embedded Domain Specific Languages
Page 27 and 28: � Option [...] is now expressed b
Page 29 and 30: The Basic Idea For each language (i
Page 31 and 32: In each case, chars represents the
Page 33 and 34: Object-Oriented Parser Combinators
Page 35 and 36: Specific Single-Token Parsers � T
Page 37 and 38: The Sequence Combinator � The seq
Page 39 and 40: The Alternative Combinator � The
Page 41 and 42: Result Conversion The parser P ˆˆ
Page 43 and 44: The Interleaved Repetition Combinat
Page 45 and 46: An Example: JSON JSON, or JavaScrip
Page 47 and 48: Testing the JSON Parser Add a metho
Page 49 and 50: Getting Better Output � The resul
Page 51 and 52: Table of Parser Combinators ident i
Page 53 and 54: A Problem with Top-Down Parsing As
Page 55 and 56: ... and reduce is defined as follow

Foundations of Software - LAMP - EPFL

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