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CM30226: Logic and semantics of programming languages

Follow this link for further information on academic years Academic Year: 2013/4
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: CW 25%, 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 unit 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-AFB01 : BSc Computing (Full-time) - Year 3
  • USCM-AKB01 : BSc Computing (Full-time with Thick Sandwich Placement) - Year 4
  • USCM-AFB06 : BSc (hons) Computer Science (Full-time) - Year 3
  • USCM-AKB07 : BSc (hons) Computer Science (Full-time with Thick Sandwich Placement) - Year 4
  • USCM-AFB20 : BSc (hons) Computer Science and Mathematics (Full-time) - Year 3
  • USCM-AKB20 : BSc (hons) Computer Science and Mathematics (Full-time with Thick Sandwich Placement) - Year 4
  • USCM-AAB20 : BSc (hons) Computer Science and Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
  • USCM-AFB09 : BSc (hons) Computer Science with Business (Full-time) - Year 3
  • USCM-AKB10 : BSc (hons) Computer Science with Business (Full-time with Thick Sandwich Placement) - Year 4
  • USCM-AAB10 : BSc (hons) Computer Science with Business with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
  • USCM-AKB16 : BSc (hons) Computer Science with German Language (with Industrial Placement) (Full-time with Thick Sandwich Placement) - Year 4
  • USCM-AAB16 : BSc (hons) Computer Science with German Language (with Study Year Abroad) (Full-time with Study Year Abroad) - Year 4
  • USCM-AFB13 : BSc (hons) Computer Science with Mathematics (Full-time) - Year 3
  • USCM-AKB14 : BSc (hons) Computer Science with Mathematics (Full-time with Thick Sandwich Placement) - Year 4
  • USCM-AAB14 : BSc (hons) Computer Science with Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
  • USCM-AKB17 : BSc (hons) Computer Science with Spanish Language (with Industrial Placement) (Full-time with Thick Sandwich Placement) - Year 4
  • USCM-AAB17 : BSc (hons) Computer Science with Spanish Language (with Study Year Abroad) (Full-time with Study Year Abroad) - Year 4
  • USCM-AAB07 : BSc (hons) Computer Science with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
  • USCM-AFM01 : MComp (hons) Computer Science (Full-time) - Year 3
  • USCM-AKM02 : MComp (hons) Computer Science (Full-time with Thick Sandwich Placement) - Year 4
  • USCM-AFM14 : MComp (hons) Computer Science and Mathematics (Full-time) - Year 3
  • USCM-AKM14 : MComp (hons) Computer Science and Mathematics with Industrial Placement (Full-time with Thick Sandwich Placement) - Year 4
  • USCM-AAM14 : MComp (hons) Computer Science and Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
  • USCM-AAM02 : MComp (hons) Computer Science with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
Department of Mathematical Sciences
  • USMA-AFB15 : BSc (hons) Mathematical Sciences (Full-time) - Year 3
  • USMA-AKB16 : BSc (hons) Mathematical Sciences (Full-time with Thick Sandwich Placement) - Year 4
  • USMA-AAB16 : BSc (hons) Mathematical Sciences with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
  • USMA-AFB13 : BSc (hons) Mathematics (Full-time) - Year 3
  • USMA-AKB14 : BSc (hons) Mathematics (Full-time with Thick Sandwich Placement) - Year 4
  • USMA-AAB14 : BSc (hons) Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
  • USMA-AFB05 : BSc (hons) Statistics (Full-time) - Year 3
  • USMA-AKB06 : BSc (hons) Statistics (Full-time with Thick Sandwich Placement) - Year 4
  • USMA-AAB06 : BSc (hons) Statistics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
  • USMA-AFM14 : MMath Mathematics (Full-time) - Year 3
  • USMA-AFM14 : MMath Mathematics (Full-time) - Year 4
  • USMA-AAM15 : MMath Mathematics with Study Year Abroad (Full-time with Study Year Abroad) - Year 4
  • TSMA-AFM08 : MSc Modern Applications of Mathematics (Full-time)
  • TSMA-AWM14 : MSc Modern Applications of Mathematics (Full-time incorporating placement)
  • TSMA-AFL02 : PG Dip Modern Applications of Mathematics (Full-time)

Notes:
* This unit catalogue is applicable for the 2013/4 academic year only. Students continuing their studies into 2014/15 and beyond should not assume that this unit will be available in future years in the format displayed here for 2013/14.
* 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.