By Roy Crole (auth.), Roland Backhouse, Roy Crole, Jeremy Gibbons (eds.)
Program development is ready turning requirements of software program into implementations. contemporary learn aimed toward enhancing the method of application building exploits insights from summary algebraic instruments comparable to lattice thought, fixpoint calculus, common algebra, class conception, and allegory theory.
This textbook-like educational offers, along with an creation, 8 coherently written chapters via top gurus on ordered units and whole lattices, algebras and coalgebras, Galois connections and glued element calculus, calculating sensible courses, algebra of software termination, workouts in coalgebraic specification, algebraic equipment for optimization difficulties, and temporal algebra.
Read or Download Algebraic and Coalgebraic Methods in the Mathematics of Program Construction: International Summer School and Workshop Oxford, UK, April 10–14, 2000 Revised Lectures PDF
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Additional info for Algebraic and Coalgebraic Methods in the Mathematics of Program Construction: International Summer School and Workshop Oxford, UK, April 10–14, 2000 Revised Lectures
S. Scott. The lattice of ﬂow diagrams. Technical Report 3, Programming Research Group, Oxford University Computing Laboratory, 1970. 5, 14 12. D. S. Scott. Towards a mathematical theory of computation. In 4th Annual Princeton Conference on Information Sciences and Systems, 1970. 5 13. D. S. Scott. Continuous lattices. Technical Report 7, Programming Research Group, Oxford University Computing Laboratory, 1971. 5, 14 14. D. S. Scott. Datatypes as lattices. SIAM Journal of Computing, 5(3):522–587, 1976.
L. Crole. Categories for Types. Cambridge Mathematical Textbooks. Cambridge University Press, 1993. xvii+335 pages, ISBN 0521450926HB, 0521457017PB. 2 4. P. J. Freyd and A. Scedrov. Categories, Allegories. Elsevier Science Publishers, 1990. Appears as Volume 39 of the North-Holland Mathematical Library. 2 5. R. Goldblatt. Topoi : the categorial analysis of logic. Amsterdam ; Oxford : NorthHolland, 1984. ISBN: 0444867112. 10, 11 6. David Gries and Fred B. Schneider. A Logical Approach to Discrete Math.
S. Scott. Datatypes as lattices. SIAM Journal of Computing, 5(3):522–587, 1976. 5, 14 15. D. S. Scott. Domains for denotational semantics. In ICALP 1982, volume 140 of Lecture Notes in Computer Science, pages 577–613. Springer-Verlag, 1982. 5 16. M. L. Scott. Programming Language Pragmatics. Morgan Kaufmann, 2000. 2 17. R. Sethi. Programming Languages: Concepts and Constructs. Addison-Wesley, 1989. 2 18. D. S. Scott and C. Strachey. Towards a mathematical semantics for computer languages. Technical Report 6, Programming Research Group, Oxford University Computing Laboratory, 1971.