 Academic Year:
| 2013/4 |
| Owning Department/School:
| Department of Computer Science |
| Credits:
| 6 |
| Level:
| Honours (FHEQ level 6) |
| Period: |
Semester 2
|
| Assessment:
| CW 25%, EX 75% |
| Supplementary Assessment: |
CM30226 Mandatory Extra Work (where allowed by programme regulations)
|
| Requisites:
| Before taking this unit you must take CM10196 or take MA10209 or equivalent. |
| 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.
|
| Programme 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)
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