University of Birmingham > Talks@bham > Theoretical computer science seminar > A concurrent interpretation of the law of excluded middle

A concurrent interpretation of the law of excluded middle

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We give a computational interpretation of the law of excluded middle as a scheme for the concurrent execution of processes. The interpretation, which takes place within the framework of realisability, involves two new logical operators: Set_n(A), allowing for n concurrent processes to realise the formula A, and A || B (‘A restricted to B’), a strengthening of the implication B → A, which is realised by a computation that is guaranteed to terminate if B holds and, in case of termination, realises A. We apply this interpretation to two examples of program extraction in computable analysis: Infinite Gray-code and matrix inversion via concurrent Gaussian elimination.

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

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