Seemingly impossible programs and proofs

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• Martin Escardo, Theory Group, School of Computer Science, University of Birmingham
• Friday 11 February 2022, 14:00-15:00
• LG23, SoCS and Zoom (see abstract for link).

If you have a question about this talk, please contact Martin Escardo.

In previous work we developed algorithms that perform the seemingly impossible task of exhaustively searching infinite sets in finite time. To formulate and prove their correctness, we used a combination of programming language semantics, topology and higher-type computability theory. In this talk, we explore the same ideas from a different, logical angle. The algorithms are derived from constructive proofs of instances of the law of the excluded middle that, at first sight, look constructively implausible. To achieve this, we work in dependent type theory, a foundation for constructive mathematics that can also be considered as a programming language. Familiarity with type theory will not be assumed. — This is a practice talk for my CSL ’2022 talk on 19th February — Zoom https://bham-ac-uk.zoom.us/j/81873335084?pwd=T1NaUFg2U1l6d0RLL2RlTzFBam1IUT09

This talk is part of the Theoretical computer science seminar series.

This talk is included in these lists:

• Computer Science Departmental Series
• Computer Science Distinguished Seminars
• LG23, SoCS and Zoom (see abstract for link)
• Theoretical computer science seminar
• computer sience

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