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Alexander Konovalov

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Isomorphic Reasoning: Counting with Types Part 1LambdaConf 20192019-06-05
Claim: parametric polymorphism gives a hidden type arithmetic that lets one compute exact inhabitant counts (e.g. ∀a. a→a is unique, function types count as…
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Isomorphic Reasoning: Counting with Types Part 2LambdaConf 20192019-06-05
This is a 3 video talk; Please see: Part 1: https://youtu.be/ApHFidwNypE Part 3: https://youtu.be/kKZTd7D33KY *We are aware of the sound issue for parts 2 and…
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Isomorphic Reasoning: Counting with Types Part 3LambdaConf 20192019-06-05
This is a 3 video talk; Please see: Part 1: https://youtu.be/ApHFidwNypE Part 2: https://youtu.be/UScWv37aJhY *We are aware of the sound issue for parts 2 and…
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Recursion Schemes, Algebras, Finally Tagless, Data TypesLambdaConf 20192019-06-05
Claims a single unifying fact: many FP encodings are isomorphic and mechanically transformable. Demonstrates the isomorphism between fold and data…
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Practical Observable SharingLambdaConf 20192019-06-05
Solves two concrete problems: generate an EBNF and decide nullability from finally‑tagless applicative parsers, and simplify a logical‑circuit DSL and emit a…
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Hands on Chat About CategoriesLambdaConf 20182018-06-03
Concrete mappings and runnable examples: definitions of objects, morphisms, identities, composition, Cartesian closed ↔ functions and tuples, explicit…
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ScalaFiddle and CategoriesLambdaConf 20182018-06-03
Scala codebase adds concrete support for subcategories and categorical abstractions: an experimental SAP cats package, references to SAAP cask and Category…
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The Leibniz Library and Applied Propositions as TypesLambdaConf 20182018-06-03
Library implements Leibniz equality, coercion, substitution and composition in Scala, with proofs encoded as types and macros to produce runtime evidence. It…
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