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Confluence, and its use for conversion checking episode artwork

EPISODE · Mar 11, 2020 · 15 MIN

Confluence, and its use for conversion checking

from Iowa Type Theory Commute · host Aaron Stump

The basic property of confluence of a nondeterministic reduction semantics: if from starting term t you can reach t1 and also t2 (by two finite reduction sequences), then there is some t3 to which t1 and t2 both reduce in a finite number of steps.  The use of confluence for ensuring completeness of the conversion-checking algorithm that tests conversion of t1 and t2 by normalizing both terms and checking for alpha-equivalence (or maybe alpha,eta-equivalence).

Episode metadata supplied by the publisher feed · Published Mar 11, 2020

What this episode covers

The basic property of confluence of a nondeterministic reduction semantics: if from starting term t you can reach t1 and also t2 (by two finite reduction sequences), then there is some t3 to which t1 and t2 both reduce in a finite number of steps. The use of confluence for ensuring completeness of the conversion-checking algorithm that tests conversion of t1 and t2 by normalizing both terms and checking for alpha-equivalence (or maybe alpha,eta-equivalence).

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This episode is 15 minutes long.

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This episode was published on March 11, 2020.

What is this episode about?

The basic property of confluence of a nondeterministic reduction semantics: if from starting term t you can reach t1 and also t2 (by two finite reduction sequences), then there is some t3 to which t1 and t2 both reduce in a finite number of steps. ...

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