Recent Readings on Greek Tragedy: Exploring Emotions and Politics
Recent readings by Xavier Buxton delve into the emotional depth and political undertones of Greek tragedy, particularly focusing on the intersection of tragic emotion and rationality. The analysis of works like 'Oedipus' and 'Bacchae' uncovers the spirited elements within the soul and its influence on human behavior and society. These interpretations shed new light on the timeless allure of Greek tragedies and their relevance in contemporary discourse.
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Presentation Transcript
Deriving induction principles using parametricity Tomas Vallejos CC7125
Roadmap Induction principles. Parametricity translation. Derive induction principles using the parametricity translation. Challenges.
Logic Study of correct reasoning. Proof assistants. Reasoning with inductive types.
Induction principles Proving a certain property holds. Based on the structure.
Coq Induction Principles Generator Coq generates induction principles automatically.
t Parametricity translation A translation from types to relations. ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Deriving induction principles using parametricity ??? ???? ??? ???? ??? ??? ?:???? ? ???? ??? ??? ??? ???? ?:??? ? ??? ? ?:??? ??? ? ??:???.???: ??? ?. ??? (? ?)
Deriving induction principles using parametricity ??? ??? ???? ? ??? ? ? ??:???.???: ??? ?. ??? (? ?)
Deriving induction principles using parametricity ???? ?:????, ? ???? ???? ???? ??? ?:???? ? ? ???? , ???? ? ? ??? ???? ?:???? ? :? ???? :? : ? ?:???? ? ? : ???? ? ? ? , ???? ? ? (???? ? ?)
Deriving induction principles using parametricity ????? ?:????, ? ???? ????? ? ???? ???? ?:???? ? ? ???? ???? ?:???? ? :? ???? ? ? ( ? ? ?), ????? ? ? (???? ? ?) ?:???? (????? ? ) ? : ???? ????? ? ? ? , ????? ? ? (???? ? ?)
References [1]: Jean-Philippe Bernardy, Patrik Jansson, Ross Paterson: Parametricity and dependent types. ICFP 2010: 345-356 [2]: Enrico Tassi: Deriving Proved Equality Tests in Coq-Elpi: Stronger Induction Principles for Containers in Coq. ITP 2019: 29:1-29:18
Deriving induction principles using parametricity Tomas Vallejos CC7125