README: minor improvements
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README.md
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README.md
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@ -6,20 +6,21 @@ Rust Implementation of Ladder-Types (parsing, unification, rewriting, etc)
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## Ladder Types
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## Ladder Types
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In order to implement complex datastructures and algorithms, usually
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In order to implement complex datastructures and algorithms, usually
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many layers of abstraction are built ontop of each other, and
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many layers of abstraction are built ontop of each other.
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consequently higher-level data types are encoded into lower-level data
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Consequently higher-level data types are encoded into lower-level data
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types, forming a chain of embeddings from concept to `rock bottom' of
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types, forming a chain of embeddings from concept to `rock bottom' of
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byte streams. While a high-level type makes claims about an objects
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byte streams. While a high-level type makes claims about the
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semantics, it is ambiguous in regard to its concrete syntactical
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semantics of objects of that type, high-level types are ambiguous in
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representation or memory layout. However these concrete
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regard to their concrete syntactical representation or memory
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representational forms must be compatible for type-safe compositions.
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layout. However for compositions to be type-safe, compatibility of
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concrete represenations must be ensured.
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For example in the unix shell, many different tools & utilities exist
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For example in the unix shell, many different tools & utilities
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concurrently and depending on the application domain, each will
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coexist. Depending on the application domain, each of them will
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potentially make use of different representational forms. Abstract
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potentially make use of different representational forms for the same
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concepts like 'natural number' could exist in many representational
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abstract concepts. E.g. for the concept 'natural number', many
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forms, e.g. with variation over radices, endianness, digit encoding
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representations do exist, e.g. with variation over radices,
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etc.
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endianness, digit encoding etc.
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Intuitively, *ladder types* provide a way to distinguish between
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Intuitively, *ladder types* provide a way to distinguish between
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multiple *concrete representations* of the same *abstract / conceptual
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multiple *concrete representations* of the same *abstract / conceptual
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@ -37,7 +38,7 @@ each represented as unix-timestamp written as decimal number in
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big-endian, encoded as UTF-8 string.
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big-endian, encoded as UTF-8 string.
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```
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```
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<Seq Timepoint
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<Seq TimePoint
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~<TimeSince UnixEpoch>
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~<TimeSince UnixEpoch>
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~<Duration Seconds>
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~<Duration Seconds>
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~ℕ
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~ℕ
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