Undergraduate Course: Functional Programming and Specification (Level 9) (INFR09033)
Course Outline
School  School of Informatics 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 9 (Year 3 Undergraduate) 
Availability  Available to all students 
SCQF Credits  10 
ECTS Credits  5 
Summary  The course has two aims. The first is to provide an introduction to programming in Standard ML including the use of the facilities it offers for structuring programs into modules. Part of this is a review of material from the Functional Programming component of Inf1A, using Standard ML rather than Haskell, but more advanced material is also included. The second aim is to provide an introduction to formal methods for specification and development of programs, using the Extended ML specification framework as a vehicle. Simple proofs of properties of functions are interwoven with the first part of the course to link it with the second part. 
Course description 
Functional programming in Standard ML: The functional paradigm. Polymorphic types, static typing and type inference. Recursion and induction. List processing. Higherorder functions. Eager and lazy evaluation. Imperative features. Signatures, structures, functors. Module hierarchy, sharing and data abstraction.
Specification and formal program development in Extended ML: Specification of ML functions and modules. Proving that a program is correct with respect to a specification of its intended behaviour. Refinement of specifications. Formal development of ML programs from EML specifications by modular decomposition and stepwise refinement.
Relevant QAA Computing Curriculum Sections: Comparative Programming Languages, Programming Fundamentals, Software Engineering

Entry Requirements (not applicable to Visiting Students)
Prerequisites 
Students MUST have passed:
Informatics 2A  Processing Formal and Natural Languages (INFR08008) AND
Informatics 2B  Algorithms, Data Structures, Learning (INFR08009)

Corequisites  
Prohibited Combinations  
Other requirements  Successful completion of Year 2 of an Informatics Single or Combined Degree, or equivalent by permission of the School. Students must have a good background in some programming language together with a familiarity with basic notation from logic (logical connectives, quantifiers, etc.) and proofs using equational reasoning and induction.
MSc students should take the level 10 version of the course (INFR10043). 
Information for Visiting Students
Prerequisites  None 
Course Delivery Information
Not being delivered 
Learning Outcomes
1  Students will be able to design a representation of an informallydescribed data structure in ML as a datatype, and translate an informal description of an algorithm into an ML function, making appropriate use of higherorder functions and other characteristic features of the functional programming paradigm.
2  Students will be able to make effective use of the module facilities in ML to organize programs of about 1000 lines into appropriate units.
3  Students will be able to use the notation of EML to formulate properties of firstorder total ML functions, and to prove such properties using induction and methods of equational reasoning.

Reading List
* ***L. Paulson. ML for the Working Programmer, second edition. Cambridge University Press, 1996.
* **R. Harper. Programming in Standard ML. Carnegie Mellon University. Soon to be a book. Available online.
* ***D. Sannella. Formal program development in Extended ML for the working programmer.
* **S. Gilmore. Programming in Standard ML'97: A tutorial introduction. Edinburgh report ECSLFCS97364, 1997
* *J. Ullman. Elements of ML Programming, second edition. Prentice Hall, 1997. 
Contacts
Course organiser  Dr Nigel Goddard
Tel: (0131 6)51 3091
Email: Nigel.Goddard@ed.ac.uk 
Course secretary  Miss Tamise Totterdell
Tel: 0131 650 9970
Email: t.totterdell@ed.ac.uk 

