Types and Programming Languages

Quick Start Guide

$ git clone https://github.com/waddlaw/TAPL.git
$ cd TAPL

app	versionn
cabal-install	3.2.0.0
stack	2.5.1
cabal-fmt	0.1.5.1
ormolu	0.1.4.1

Available Systems

id	chapter	package name	parse	eval	typecheck	prettyprint	run application
1	ch03	bool	✅	✅	N/A	✅	stack run bool
2	ch03	arith	✅	✅	N/A	✅	stack run arith
3	ch05	lambda-untyped	✅	✅	N/A	✅	stack run untyped-lambda
4	ch09	lambda-simple	✅	✅	✅	✅	stack run simple-lambda
5	ch11	lambda-fullsimple	✅	✅	✅	✅	stack run fullsimple-lambda
6	ch19	featherweight-java	✅	✅	🚧	✅	stack run fj
7	ch22	recon	🚧	✅	🚧	✅	🚧
8	ch23	systemf	🚧	🚧	🚧	✅	🚧

Components

Fig	System Name	1	2	3	4	5	6	7	8
3-1	Booleans (B)	✅	✅		✅	✅		✅	✅
3-2	Arithmetic expressions (NB)		✅			✅		✅	✅
5-3	Untyped lambda-calculus (λ)			✅
8-1	Typing rules for booleans (B)				✅	✅		✅	✅
8-2	Typing rules for numbers (NB)					✅		✅	✅
9-1	Pure simply typed lambda-calculus (λ->)				✅	✅		✅	✅
11-1	Uninterpreted base types
11-2	Unit type					✅
11-3	Ascription					✅
11-4	Let binding					✅
11-5	Pairs					✅
11-6	Tuples					✅
11-7	Records					✅
11-8	(Untyped) record patterns					✅
11-9	Sums					✅
11-10	Sums (with unique typing)					🚧
11-11	Variants					🚧
11-12	General recursion					🚧		✅	✅
11-13	Lists					🚧			✅
13-1	References
14-1	Errors
14-2	Error handling
14-3	Exceptions carrying values
15-1	Simply typed lambda-calculus with subtyping (λ<:)
15-2	Records (same as Figure 11-7)
15-3	Records and subtyping
15-4	Bottom type
15-5	Variants and subtyping
16-1	Subtype relation with records (compact version)
16-2	Algorithmic subtyping
16-3	Algorithmic typing
19-1	Featherweight Java (syntax and subtyping)						✅
19-2	Featherweight Java (auxiliary definitions)						✅
19-3	Featherweight Java (evaluation)						✅
19-4	Featherweight Java (typing)						🚧
20-1	Iso-recursive types (λμ)
22-1	Constraint typing rules							✅
22-2	Unification algorithm							✅
23-1	Polymorphic lambda-calculus (System F)								✅
24-1	Existential types
26-1	Bounded quantification (kernel F<:)
26-2	"Full" bounded quantification
26-3	Bounded existential quantification (kernel variant)
28-1	Exposure Algorithm for F<:
28-2	Algorithmic typing for F<:
28-3	Algorithmic subtyping for kernel F<:
28-4	Algorithmic subtyping for full F<:
28-5	Join and meet algorithms for kernel F<:
29-1	Type operators and kinding (λω)
30-1	Higher-order polymorphic lambda-calculus (Fω)
30-2	Higher-order existential types
30-3	Parallel reduction on types
32-1	Polymorphic update

Development

# build
$ stack build --fast --file-watch --ghc-options "-j4 +RTS -A128m -n2m -qg -RTS"

# test
$ stack test --fast --file-watch

## generate haddock document
$ stack clean && stack haddock

## benchmark
$ stack bench --benchmark-arguments "--small"

Other commands

# pedantic
$ stack clean && stack test --fast --pedantic --file-watch --no-run-tests

# hlint
$ make lint

# format
$ make fmt
$ make cabal-fmt

Japanese book information

型システム入門 プログラミング言語と型の理論

• オーム社の公式ページ
• 日本語版サポートページ
  • 正誤表
• 原著サポートページ
  • Errata
• 住井英二郎（監訳者）＆翻訳チーム 「いまこそ学ぶ！ 型システム ～ TAPL日本語出版までの道のり　～」 - YouTube