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CM30226: Logic and semantics of programming languages

Follow this link for further information on academic years Academic Year: 2015/6
Further information on owning departmentsOwning Department/School: Department of Computer Science
Further information on credits Credits: 6
Further information on unit levels Level: Honours (FHEQ level 6)
Further information on teaching periods Period: Semester 2
Further information on unit assessment Assessment Summary: CW 25%, EX 75%
Further information on unit assessment Assessment Detail:
  • Course work (CW 25%)
  • Examination (EX 75%)
Further information on supplementary assessment Supplementary Assessment: CM30226 Mandatory Extra Work (where allowed by programme regulations)
Further information on requisites Requisites: Before taking this module you must take CM10196 OR take MA10209 or equivalent.
Further information on descriptions Description: Aims:
To develop a detailed understanding of a body of mathematical theory that is used in the formal conceptual analysis of programming languages.

Learning Outcomes:
By the end of the unit, successful students will be able to:
1. give the central definitions and theorems of one of the mathematical theories underlying the formal study of programming languages;
2. use a mathematical theory to give a formal description of computational phenomena;
3. evaluate a new mathematical theory that is proposed as providing formal support for computation.

Skills:
Problem Solving, Communication, Application of Number.

Content:

* Categories, functors, natural transformations, adjoint functors
* Cartesian closed categories with natural numbers object
* Interpretation of the simply-typed lambda calculus in a Cartesian closed category
* Natural deduction for intuitionistic propositional logic
* The Curry-Howard isomorphism, relating natural deduction to the lambda-calculus and hence to CCCs.
Further information on programme availabilityProgramme availability:

CM30226 is Optional on the following programmes:

Department of Computer Science
  • USCM-AFB06 : BSc(Hons) Computer Science (Year 3)
  • USCM-AAB07 : BSc(Hons) Computer Science with Study year abroad (Year 4)
  • USCM-AKB07 : BSc(Hons) Computer Science with Year long work placement (Year 4)
  • USCM-AFM01 : MComp(Hons) Computer Science (Year 3)
  • USCM-AAM02 : MComp(Hons) Computer Science with Study year abroad (Year 4)
  • USCM-AKM02 : MComp(Hons) Computer Science with Year long work placement (Year 4)
  • USCM-AFB20 : BSc(Hons) Computer Science and Mathematics (Year 3)
  • USCM-AAB20 : BSc(Hons) Computer Science and Mathematics with Study year abroad (Year 4)
  • USCM-AKB20 : BSc(Hons) Computer Science and Mathematics with Year long work placement (Year 4)
  • USCM-AFM14 : MComp(Hons) Computer Science and Mathematics (Year 3)
  • USCM-AAM14 : MComp(Hons) Computer Science and Mathematics with Study year abroad (Year 4)
  • USCM-AKM14 : MComp(Hons) Computer Science and Mathematics with Year long work placement (Year 4)
  • USCM-AFB09 : BSc(Hons) Computer Science with Business (Year 3)
  • USCM-AAB10 : BSc(Hons) Computer Science with Business with Study year abroad (Year 4)
  • USCM-AKB10 : BSc(Hons) Computer Science with Business with Year long work placement (Year 4)
  • USCM-AFB01 : BSc Computing (Year 3)
  • USCM-AKB01 : BSc Computing with Year long work placement (Year 4)
Department of Mathematical Sciences
  • USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 3)
  • USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
  • USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
  • USMA-AFB13 : BSc(Hons) Mathematics (Year 3)
  • USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
  • USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
  • USMA-AFM14 : MMath(Hons) Mathematics (Year 3)
  • USMA-AFM14 : MMath(Hons) Mathematics (Year 4)
  • USMA-AAM15 : MMath(Hons) Mathematics with Study year abroad (Year 4)
  • USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
  • USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 5)
  • TSMA-AFM08 : MSc Modern Applications of Mathematics
  • TSMA-AWM14 : MSc Modern Applications of Mathematics
  • USMA-AFB05 : BSc(Hons) Statistics (Year 3)
  • USMA-AAB06 : BSc(Hons) Statistics with Study year abroad (Year 4)
  • USMA-AKB06 : BSc(Hons) Statistics with Year long work placement (Year 4)

Notes:
* This unit catalogue is applicable for the 2015/16 academic year only. Students continuing their studies into 2016/17 and beyond should not assume that this unit will be available in future years in the format displayed here for 2015/16.
* Programmes and units are subject to change at any time, in accordance with normal University procedures.
* Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.