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March 9, 2007

Classical vs Quantum Computation (Week 17)

Posted by John Baez

Yay! In this week’s course on Classical vs Quantum Computation, we finally reached the promised land: surface diagrams — closely resembling string worldsheets! — illustrating ‘processes of computation’:

  • Week 17 (Mar. 8) - 2-categories from typed λ-calculi. For each type, a category of terms of that type, freely generated by rewrite rules. Example: high-school calculus. Confluence and termination. Surface diagrams showing the process of computation.

    Supplementary reading:

    • Joachim Lambek and Phil Scott, Introduction to Higher-Order Categorical Logic, Cambridge U. Press, 1988. Part 1, Sections 12-14: the decision problem for equality; the Church-Rosser property for bounded terms; all terms are bounded.

Last week’s notes are here; next week’s notes are here.

Posted at March 9, 2007 12:17 AM UTC

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Read the post Classical vs Quantum Computation (Week 18)
Weblog: The n-Category Café
Excerpt: Surface diagrams showing the process of computation.
Tracked: March 15, 2007 10:51 PM

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