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Volumn 353, Issue 1-3, 2006, Pages 1-25

The HASCASL prologue: Categorical syntax and semantics of the partial λ-calculus

Author keywords

Algebraic specification; CASL; Categorical logic; Partial calculus

Indexed keywords

COMPUTER PROGRAMMING LANGUAGES; COMPUTER SCIENCE; CORRELATION METHODS; FORMAL LOGIC; LINEAR ALGEBRA; MATHEMATICAL MODELS;

EID: 33244469027     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2005.06.037     Document Type: Article
Times cited : (3)

References (41)
  • 2
    • 0002090475 scopus 로고    scopus 로고
    • Algebraic theories of quasivarieties
    • J. Adámek, and H.-E. Porst Algebraic theories of quasivarieties J. Algebra 208 1998 379 398
    • (1998) J. Algebra , vol.208 , pp. 379-398
    • Adámek, J.1    Porst, H.-E.2
  • 6
    • 51249179776 scopus 로고
    • Partial algebras - Survey of a unifying approach towards a two-valued model theory for partial algebras
    • P. Burmeister Partial algebras - survey of a unifying approach towards a two-valued model theory for partial algebras Algebra Univ. 15 1982 306 358
    • (1982) Algebra Univ. , vol.15 , pp. 306-358
    • Burmeister, P.1
  • 9
    • 0037028444 scopus 로고    scopus 로고
    • Restriction categories I: Categories of partial maps
    • R. Cockett, and S. Lack Restriction categories I: categories of partial maps Theoret. Comput. Sci. 270 2002 223 259
    • (2002) Theoret. Comput. Sci. , vol.270 , pp. 223-259
    • Cockett, R.1    Lack, S.2
  • 10
    • 0037441259 scopus 로고    scopus 로고
    • Restriction categories II: Partial map classification
    • R. Cockett, and S. Lack Restriction categories II: partial map classification Theoret. Comput. Sci. 294 2003 61 102
    • (2003) Theoret. Comput. Sci. , vol.294 , pp. 61-102
    • Cockett, R.1    Lack, S.2
  • 11
    • 33244492975 scopus 로고    scopus 로고
    • The Common Framework Initiative (CoFI), http://www.cofi.info.
  • 12
    • 0037125842 scopus 로고    scopus 로고
    • A functorial semantics for multi-algebras and partial algebras, with applications to syntax
    • A. Corradini, and F. Gadducci A functorial semantics for multi-algebras and partial algebras, with applications to syntax Theoret. Comput. Sci. 286 2002 293 322
    • (2002) Theoret. Comput. Sci. , vol.286 , pp. 293-322
    • Corradini, A.1    Gadducci, F.2
  • 13
    • 0024480818 scopus 로고
    • Partiality, cartesian closedness and toposes
    • P.-L. Curien, and A. Obtułowicz Partiality, cartesian closedness and toposes Inform. and Comput. 80 1 1989 50 95
    • (1989) Inform. and Comput. , vol.80 , Issue.1 , pp. 50-95
    • Curien, P.-L.1    Obtułowicz, A.2
  • 15
    • 0005505895 scopus 로고    scopus 로고
    • An extension of models of axiomatic domain theory to models of synthetic domain theory
    • D. van Dalen, M. Bezem (Eds.), Computer Science Logic, CSL 97 Springer, Berlin
    • M. Fiore, G. Plotkin, An extension of models of axiomatic domain theory to models of synthetic domain theory, in: D. van Dalen, M. Bezem (Eds.), Computer Science Logic, CSL 97, Lecture Notes in Computer Science, Vol. 1258, Springer, Berlin, 1997, pp. 129-149.
    • (1997) Lecture Notes in Computer Science , vol.1258 , pp. 129-149
    • Fiore, M.1    Plotkin, G.2
  • 16
    • 0002785435 scopus 로고
    • Completeness in the theory of types
    • L. Henkin Completeness in the theory of types J. Symbolic Logic 15 1950 81 91
    • (1950) J. Symbolic Logic , vol.15 , pp. 81-91
    • Henkin, L.1
  • 17
    • 0001476396 scopus 로고
    • On partial recursive definitions and programs
    • M. Karpiński (Ed.), Fundamentals of Computation Theory, FCT 77 Springer, Berlin
    • H.J. Hoehnke, On partial recursive definitions and programs, in: M. Karpiński (Ed.), Fundamentals of Computation Theory, FCT 77, Lecture Notes in Computer Science, Vol. 56, Springer, Berlin, 1977, pp. 260-274.
    • (1977) Lecture Notes in Computer Science , vol.56 , pp. 260-274
    • Hoehnke, H.J.1
  • 18
    • 84975992395 scopus 로고
    • Semantics of the second order lambda calculus
    • B. Jacobs Semantics of the second order lambda calculus Math. Struct. Comput. Sci. 1 1991 327 360
    • (1991) Math. Struct. Comput. Sci. , vol.1 , pp. 327-360
    • Jacobs, B.1
  • 20
    • 0000740287 scopus 로고
    • Some results on locally finitely presentable categories
    • M. Makkai, and A.M. Pitts Some results on locally finitely presentable categories Trans. Amer. Math. Soc. 299 1987 473 496
    • (1987) Trans. Amer. Math. Soc. , vol.299 , pp. 473-496
    • Makkai, M.1    Pitts, A.M.2
  • 23
    • 33244468010 scopus 로고    scopus 로고
    • CASL reference manual
    • P.D. Mosses (Ed.) Springer, Berlin
    • P.D. Mosses (Ed.), CASL reference manual, Lecture Notes in Computer Science, Vol. 2960, Springer, Berlin, 2004.
    • (2004) Lecture Notes in Computer Science , vol.2960
  • 25
    • 84957872744 scopus 로고
    • HOLCF: Higher order logic of computable functions
    • E. Schubert, P. Windley, J. Alves-Foss (Eds.), Theorem Proving in Higher Order Logics, TPHOLS 95
    • F. Regensburger, HOLCF: Higher order logic of computable functions, in: E. Schubert, P. Windley, J. Alves-Foss (Eds.), Theorem Proving in Higher Order Logics, TPHOLS 95, Lecture Notes in Computer Science, Vol. 971, 1995, pp. 293-307.
    • (1995) Lecture Notes in Computer Science , vol.971 , pp. 293-307
    • Regensburger, F.1
  • 27
    • 33244470790 scopus 로고
    • On partial cartesian closed categories, Categories in computer science and logic
    • American Mathematical Society New York
    • L. Román On partial cartesian closed categories, Categories in computer science and logic Contemporary Mathematics Vol. 92 1989 American Mathematical Society New York 349 356
    • (1989) Contemporary Mathematics , vol.92 , pp. 349-356
    • Román, L.1
  • 31
    • 33244463606 scopus 로고    scopus 로고
    • The logic of the partial λ-calculus with equality
    • J. Marcinkowski A. Tarlecki Springer Berlin
    • L. Schröder The logic of the partial λ -calculus with equality J. Marcinkowski A. Tarlecki Computer Science Logic, CSL 04, Lecture Notes in Computer Science Vol. 3210 2004 Springer Berlin 385 399
    • (2004) Computer Science Logic, CSL 04, Lecture Notes in Computer Science , vol.3210 , pp. 385-399
    • Schröder, L.1
  • 33
  • 34
    • 21144433478 scopus 로고    scopus 로고
    • Monad-independent Hoare logic in HASCASL
    • M. Pezzè (Ed.), Fundamental Aspects of Software Engineering, FASE 03
    • L. Schröder, Monad-independent Hoare logic in HASCASL, in: M. Pezzè (Ed.), Fundamental Aspects of Software Engineering, FASE 03, Lecture Notes in Computer Science, Vol. 2621, 2003, pp. 261-277.
    • (2003) Lecture Notes in Computer Science , vol.2621 , pp. 261-277
    • Schröder, L.1
  • 35
    • 4444256022 scopus 로고    scopus 로고
    • Monad-independent dynamic logic in HASCASL
    • L. Schröder Monad-independent dynamic logic in HASCASL J. Logic Comput. 14 2004 571 619
    • (2004) J. Logic Comput. , vol.14 , pp. 571-619
    • Schröder, L.1
  • 38
    • 0001995203 scopus 로고
    • Continuous lattices, Toposes, Algebraic Geometry and Logic
    • Springer Berlin
    • D. Scott Continuous lattices, Toposes, Algebraic Geometry and Logic Lecture Notes in Mathematics Vol. 274 1972 Springer Berlin 97 136
    • (1972) Lecture Notes in Mathematics , vol.274 , pp. 97-136
    • Scott, D.1
  • 39
    • 0001661753 scopus 로고
    • Identity and existence in intuitionistic logic, Applications of Sheaves
    • Springer Berlin
    • D. Scott Identity and existence in intuitionistic logic, Applications of Sheaves Lecture Notes in Mathematics Vol. 753 1979 Springer Berlin 660 696
    • (1979) Lecture Notes in Mathematics , vol.753 , pp. 660-696
    • Scott, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.