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Volumn 160, Issue 1-2, 1996, Pages 1-85

Relation-algebraic semantics

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN ALGEBRA; COMPUTER PROGRAMMING LANGUAGES; INVARIANCE; MATHEMATICAL OPERATORS; PROGRAMMING THEORY; THEOREM PROVING;

EID: 0030172882     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/0304-3975(95)00082-8     Document Type: Article
Times cited : (55)

References (55)
  • 3
    • 0006850468 scopus 로고
    • Relational algebraic semantics of deterministic and nondeterministic programs
    • R. Berghammer and H. Zierer, Relational algebraic semantics of deterministic and nondeterministic programs, Theoret. Comput. Sci. 43 (1986) 123-147.
    • (1986) Theoret. Comput. Sci. , vol.43 , pp. 123-147
    • Berghammer, R.1    Zierer, H.2
  • 5
    • 85034422250 scopus 로고
    • Semantics of nondeterministic and noncontinuous constructs
    • F. L. Bauer and M. Broy, eds., (Springer, Berlin, 1979) International Summer School, Marktoberdorf
    • M. Broy, R. Gnatz and M. Wirsing, Semantics of nondeterministic and noncontinuous constructs, in: F. L. Bauer and M. Broy, eds., Program Construction Lecture Notes in Computer Science, Vol. 69 (Springer, Berlin, 1979) International Summer School, Marktoberdorf (1978), 553-592.
    • (1978) Program Construction Lecture Notes in Computer Science , vol.69 , pp. 553-592
    • Broy, M.1    Gnatz, R.2    Wirsing, M.3
  • 8
    • 3643061152 scopus 로고
    • Semantics and termination of nondeterministic recursive programs
    • S. Michaelson and R. Milner, eds., Edinburgh Univ. Press, Edinburg
    • J.W. de Bakker, Semantics and termination of nondeterministic recursive programs, in: S. Michaelson and R. Milner, eds., Proc. 3rd Internat. Coll. on Automata, Languages, and Programming (Edinburgh Univ. Press, Edinburg 1976) 436-477.
    • (1976) Proc. 3rd Internat. Coll. on Automata, Languages, and Programming , pp. 436-477
    • De Bakker, J.W.1
  • 11
    • 0342929831 scopus 로고
    • Recursion and parameter mechanisms: An axiomatic approach
    • (J. Loeckx, ed.) Proc. 2nd Internat. Coll. on Automata, Languages, and Programming, Springer, Berlin
    • W.-P. de Roever, Recursion and parameter mechanisms: an axiomatic approach, in: (J. Loeckx, ed.) Proc. 2nd Internat. Coll. on Automata, Languages, and Programming, Lecture Notes in Computer Science, Vol. 14 (Springer, Berlin 1973) 34-65.
    • (1973) Lecture Notes in Computer Science , vol.14 , pp. 34-65
    • De Roever, W.-P.1
  • 12
    • 0004391715 scopus 로고
    • Recursive Program Schemes: Semantics and Proof Theory
    • Centre for Mathematics and Computer Science
    • W.P. de Roever, Recursive Program Schemes: Semantics and Proof Theory Mathematical Centre Tracts, Vol. 70, Centre for Mathematics and Computer Science (1976), ix+112.
    • (1976) Mathematical Centre Tracts , vol.70
    • De Roever, W.P.1
  • 13
    • 0016543936 scopus 로고
    • Guarded commands, nondeterminacy, and formal derivation of programs
    • E.W. Dijkstra, Guarded commands, nondeterminacy, and formal derivation of programs, Comm. ACM (1975) 453-457.
    • (1975) Comm. ACM , pp. 453-457
    • Dijkstra, E.W.1
  • 19
    • 0002563904 scopus 로고
    • The weakest prespecification, Part I
    • C.A.R. Hoare and He Jifeng, The weakest prespecification, Part I, Fund. Inform. 9 (1986) 51-84.
    • (1986) Fund. Inform. , vol.9 , pp. 51-84
    • Hoare, C.A.R.1    Jifeng, H.2
  • 20
    • 0037955110 scopus 로고
    • The weakest prespecification, Part II
    • C.A.R. Hoare and He Jifeng, The weakest prespecification, Part II, Fund. Inform. 9 (1986) 217-252.
    • (1986) Fund. Inform. , vol.9 , pp. 217-252
    • Hoare, C.A.R.1    Jifeng, H.2
  • 21
    • 84968481089 scopus 로고
    • New sets of independent postulates for the algebra of logic, with special reference to Whitehead and Russell's Principia Mathematica
    • E.V. Huntington, New sets of independent postulates for the algebra of logic, with special reference to Whitehead and Russell's Principia Mathematica, Trans. Amer. Math. Soc. 35 (1933) 274-304.
    • (1933) Trans. Amer. Math. Soc. , vol.35 , pp. 274-304
    • Huntington, E.V.1
  • 22
    • 0039850390 scopus 로고
    • Boolean algebra. A correction
    • E.V. Huntington, Boolean algebra. A correction, Trans. Amer. Math. Soc. 35 (1933) 557-558.
    • (1933) Trans. Amer. Math. Soc. , vol.35 , pp. 557-558
    • Huntington, E.V.1
  • 23
    • 51249184625 scopus 로고
    • Varieties of relation algebras
    • B. Jónsson, Varieties of relation algebras, Algebra Universalis 15 (1982) 273-298.
    • (1982) Algebra Universalis , vol.15 , pp. 273-298
    • Jónsson, B.1
  • 24
    • 0000736892 scopus 로고
    • The theory of binary relations
    • H. Andréka, J. D. Monk, , and I. Németi, eds. Algebraic Logic (Proc. Conf., Budapest, 1988), North-Holland, Amsterdam
    • B. Jónsson, The theory of binary relations, in: H. Andréka, J. D. Monk, , and I. Németi, eds. Algebraic Logic (Proc. Conf., Budapest, 1988), Colloq. Math. Soc. J. Bolyai, Vol. 54, (North-Holland, Amsterdam 1991), 245-292.
    • (1991) Colloq. Math. Soc. J. Bolyai , vol.54 , pp. 245-292
    • Jónsson, B.1
  • 25
    • 0003308820 scopus 로고
    • Representation problems for relation algebras
    • Abstract 89
    • B. Jónsson and A. Tarski, Representation problems for relation algebras, Bull. Amer. Math. Soc. 54 (1948) 80 and 1192, Abstract 89.
    • (1948) Bull. Amer. Math. Soc. , vol.54 , pp. 80
    • Jónsson, B.1    Tarski, A.2
  • 26
    • 0001521953 scopus 로고
    • Boolean algebras with operators, Part I
    • B. Jónsson and A. Tarski, Boolean algebras with operators, Part I, Amer. J. Math. 73 (1951) 891-939.
    • (1951) Amer. J. Math. , vol.73 , pp. 891-939
    • Jónsson, B.1    Tarski, A.2
  • 27
    • 0001318162 scopus 로고
    • Boolean algebras with operators, Part II
    • B. Jónsson and A. Tarski, Boolean algebras with operators, Part II, Amer. J. Math. 74 (1952) 127-162.
    • (1952) Amer. J. Math. , vol.74 , pp. 127-162
    • Jónsson, B.1    Tarski, A.2
  • 30
    • 0010104892 scopus 로고
    • Some nonrepresentable relation algebras
    • R.D. Maddux, Some nonrepresentable relation algebras, Notices Amer. Math. Soc. 23 (1976) A-431, A-557.
    • (1976) Notices Amer. Math. Soc. , vol.23
    • Maddux, R.D.1
  • 31
    • 0000637385 scopus 로고
    • Finite integral relation algebras
    • Universal Algebra and Lattice Theory (Springer, Berlin, 1985) Proc. Southeastern Conf. in Universal Algebra and Lattice Theory, Charleston, S.C., July 11-14
    • R.D. Maddux, Finite integral relation algebras, in: Universal Algebra and Lattice Theory (Springer, Berlin, 1985) Proc. Southeastern Conf. in Universal Algebra and Lattice Theory, Charleston, S.C., July 11-14, 1984, Lecture Notes in Math., Vol. 1149, 175-197.
    • (1984) Lecture Notes in Math. , vol.1149 , pp. 175-197
    • Maddux, R.D.1
  • 32
    • 0000089354 scopus 로고
    • Introductory course on relation algebras, finite-dimensional cylindric algebras, and their interconnections
    • H. Andréka, J. D. Monk and I. Németi, eds., Algebraic Logic (Proc. Conf., Budapest 1988) North-Holland, Amsterdam
    • R.D. Maddux, Introductory course on relation algebras, finite-dimensional cylindric algebras, and their interconnections, in: H. Andréka, J. D. Monk and I. Németi, eds., Algebraic Logic (Proc. Conf., Budapest 1988) Colloq. Math. Soc. J. Bolyai, Vol. 54, (North-Holland, Amsterdam 1991), 361-392.
    • (1991) Colloq. Math. Soc. J. Bolyai , vol.54 , pp. 361-392
    • Maddux, R.D.1
  • 33
    • 34249919575 scopus 로고
    • The origin of relation algebras in the development and axiomatization of the calculus of relations
    • R.D. Maddux, The origin of relation algebras in the development and axiomatization of the calculus of relations, Studia Logica 50 (1991) 421-455.
    • (1991) Studia Logica , vol.50 , pp. 421-455
    • Maddux, R.D.1
  • 34
    • 0347006740 scopus 로고
    • A working relational model: The derivation of the Dijkstra-Scholten predicate transformer semantics from Tarski's axioms for the Peirce-Schröder calculus of relations
    • R.D. Maddux, A working relational model: The derivation of the Dijkstra-Scholten predicate transformer semantics from Tarski's axioms for the Peirce-Schröder calculus of relations, South African Comput. J. 9 (1993) 92-130.
    • (1993) South African Comput. J. , vol.9 , pp. 92-130
    • Maddux, R.D.1
  • 35
    • 0347006737 scopus 로고
    • On the symbols of logic, the theory of the syllogism, and in particular of the copula, and the application of the theory of probabilities to some questions in the theory of evidence
    • reprinted in [37]
    • A. De Morgan, On the symbols of logic, the theory of the syllogism, and in particular of the copula, and the application of the theory of probabilities to some questions in the theory of evidence, Trans. Cambridge Philos. Soc. 9 (1856) 79-127, reprinted in [37].
    • (1856) Trans. Cambridge Philos. Soc. , vol.9 , pp. 79-127
    • De Morgan, A.1
  • 36
    • 84968495047 scopus 로고
    • On the syllogism, no. IV, and on the logic of relations
    • reprinted in [37]
    • A. De Morgan, On the syllogism, no. IV, and on the logic of relations, Trans. Cambridge Philos. Soc. 10 (1864) 331-358, reprinted in [37].
    • (1864) Trans. Cambridge Philos. Soc. , vol.10 , pp. 331-358
    • De Morgan, A.1
  • 38
    • 0345745627 scopus 로고
    • A relational model of demonic nondeterministic programs
    • T. T. Nguyen, A relational model of demonic nondeterministic programs, Internat. J. Foundations Comput. Sci. 2, (1991) 101-131.
    • (1991) Internat. J. Foundations Comput. Sci. , vol.2 , pp. 101-131
    • Nguyen, T.T.1
  • 39
    • 0345745612 scopus 로고
    • The connection between predicate logic and demonic relation calculus
    • Centre de Recherche en Informatique de Nancy, 18 November
    • T. T. Nguyen, The connection between predicate logic and demonic relation calculus, Tech. Report CRIN 92-R-187, Centre de Recherche en Informatique de Nancy, 18 November, 1992.
    • (1992) Tech. Report CRIN 92-R-187
    • Nguyen, T.T.1
  • 40
    • 0014651649 scopus 로고
    • Fixpoint induction and proofs of program properties
    • B. Meltzer and D. Richie, eds., Edinburgh Univ. Press, Edinburgh
    • D. Park, Fixpoint induction and proofs of program properties, in: B. Meltzer and D. Richie, eds., Machine Intelligence, Vol. 5, (Edinburgh Univ. Press, Edinburgh 1969) 59-77.
    • (1969) Machine Intelligence , vol.5 , pp. 59-77
    • Park, D.1
  • 41
    • 2542527603 scopus 로고
    • On the semantics of fair parallelism
    • Abstract Software Specification, Springer, Berlin
    • D. Park, On the semantics of fair parallelism, Abstract Software Specification, Lecture Notes in Computer Science, Vol. 86, (Springer, Berlin 1980) 504-526.
    • (1980) Lecture Notes in Computer Science , vol.86 , pp. 504-526
    • Park, D.1
  • 42
    • 0002898216 scopus 로고
    • Description of a notation for the logic of relatives, resulting from an amplification of the conceptions of Boole's calculus of logic
    • (reprinted by Welch, Bigelow and Co., Cambridge, MA 1870 1-62); also reprinted in [45, 46]
    • C.S. Peirce, Description of a notation for the logic of relatives, resulting from an amplification of the conceptions of Boole's calculus of logic, Mem. Amer. Academy Sci. 9 (1870) 317-378, (reprinted by Welch, Bigelow and Co., Cambridge, MA 1870 1-62); also reprinted in [45, 46].
    • (1870) Mem. Amer. Academy Sci. , vol.9 , pp. 317-378
    • Peirce, C.S.1
  • 43
    • 0003023358 scopus 로고
    • On the algebra of logic
    • reprinted in [45]
    • C.S. Peirce, On the algebra of logic, Amer. J. Math. 3 (1880) 15-57, reprinted in [45].
    • (1880) Amer. J. Math. , vol.3 , pp. 15-57
    • Peirce, C.S.1
  • 44
    • 0002599361 scopus 로고
    • Note B: The logic of relatives
    • C. S. Peirce, ed., (Little, Brown, and Co., Boston, 1883) book reprinted, with an Introduction by M. H. Fisch and a Preface by A. Eschbach, by John Benjamins Publishing Co., Amsterdam and Philadelphia, Iviii, paper reprinted in [45, pp. 187-203]
    • C.S. Peirce, Note B: the logic of relatives, in: C. S. Peirce, ed., Studies in Logic by Members of the Johns Hopkins University (Little, Brown, and Co., Boston, 1883) book reprinted, with an Introduction by M. H. Fisch and a Preface by A. Eschbach, by John Benjamins Publishing Co., Amsterdam and Philadelphia, (1983), Iviii, vi+203; paper reprinted in [45, pp. 187-203].
    • (1983) Studies in Logic by Members of the Johns Hopkins University
    • Peirce, C.S.1
  • 45
    • 2942654954 scopus 로고
    • C. Hartshorne and Paul Weiss, eds., Harvard Univ. Press, Cambridge
    • C.S. Peirce, in: C. Hartshorne and Paul Weiss, eds., Collected Papers, Vol. III, (Harvard Univ. Press, Cambridge, 1933).
    • (1933) Collected Papers, Vol. III , vol.3
    • Peirce, C.S.1
  • 46
    • 0037617226 scopus 로고
    • E.C. Moore, M.H. Fisch, C.J.W. Kloesel, D.D. Roberts and L.A. Ziegler, eds., Indiana Univ. Press, Bloomington
    • C.S. Peirce, in: E.C. Moore, M.H. Fisch, C.J.W. Kloesel, D.D. Roberts and L.A. Ziegler, eds., Writings of Charles S. Peirce, A Chronological Edition, (Indiana Univ. Press, Bloomington, 1984).
    • (1984) Writings of Charles S. Peirce, A Chronological Edition
    • Peirce, C.S.1
  • 47
    • 0346376716 scopus 로고
    • Programs as partial graphs I: Flow equivalence and correctness
    • G. Schmidt, Programs as partial graphs I: flow equivalence and correctness, Theoret. Comput. Sci. 15 (1981) 1-25.
    • (1981) Theoret. Comput. Sci. , vol.15 , pp. 1-25
    • Schmidt, G.1
  • 48
    • 0347637382 scopus 로고
    • Programs as partial graphs II: Recursion
    • G. Schmidt, Programs as partial graphs II: recursion, Theoret. Comput. Sci. 15 (1981), 159-179.
    • (1981) Theoret. Comput. Sci. , vol.15 , pp. 159-179
    • Schmidt, G.1
  • 49
    • 0038297596 scopus 로고
    • W. Brauer, G. Rozenberg and A. Salomaa, eds., Springer, Berlin
    • G. Schmidt and T. Ströhlein, in: W. Brauer, G. Rozenberg and A. Salomaa, eds., Relations and Graphs, (Springer, Berlin, 1993).
    • (1993) Relations and Graphs
    • Schmidt, G.1    Ströhlein, T.2
  • 52
    • 0003036898 scopus 로고
    • On the calculus of relations
    • A. Tarski, On the calculus of relations, J. Symbolic Logic 6 (1941) 73-89.
    • (1941) J. Symbolic Logic , vol.6 , pp. 73-89
    • Tarski, A.1
  • 53
    • 84972541021 scopus 로고
    • A lattice-theoretical fixpoint theorem and its applications
    • A. Tarski, A lattice-theoretical fixpoint theorem and its applications, Pacific J. Math. 5 (1955) 285-309.
    • (1955) Pacific J. Math. , vol.5 , pp. 285-309
    • Tarski, A.1
  • 55
    • 0346376715 scopus 로고
    • Calculations with relations, an example
    • W. Feijen, A. J. M. van Gasteren, D. Gries, and J. Misra, eds., Springer, Berlin
    • J. van der Woude, Calculations with relations, an example, in: W. Feijen, A. J. M. van Gasteren, D. Gries, and J. Misra, eds., Beauty is our Business (Springer, Berlin, 1990), 435-441.
    • (1990) Beauty Is Our Business , pp. 435-441
    • Van Der Woude, J.1


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